%PDF-1.3 % 2 0 obj << /Length 10556 >> stream 0 G 0 J 0 j 3.987 w 10 M []0 d /GS1 gs 1 i 108 714.383 m 504 714.383 l S BT /TT2 1 Tf 17.2155 0 0 17.2155 141.057 682.527 Tm 0 g 0 Tc 0 Tw [(Lear)15.2(ning)-250.4(to)-250.4(be)-249.9(Bay)9.9(esian)-249.9(without)-249.9(Super)9.9(vision)]TJ ET 0.999 w 108 663.632 m 504 663.632 l S BT 9.9626 0 0 9.9626 179.568 626.2681 Tm [(Martin)-250.2(Raphan)]TJ /TT4 1 Tf -4.7093 -1.8203 TD [(Courant)-251.1(Inst.)-309.9(of)-249.3(Mathematical)-252(Sciences)]TJ 3.6867 -1.1003 TD [(Ne)25.3(w)-251.1(Y)110.2(ork)-250.2(Uni)25.3(v)15.4(ersity)]TJ /TT6 1 Tf -1.4553 -1.5502 TD (raphan@cims.nyu.edu)Tj /TT2 1 Tf 20.7704 4.4708 TD [(Eer)18.1(o)-252(P)110.2(.)-250.2(Simoncelli)]TJ /TT4 1 Tf -2.3117 -1.2801 TD [(Center)-251.1(for)-249.3(Neural)-251.1(Science,)-252(and)]TJ -1.7525 -1.1003 TD [(Courant)-251.1(Inst.)-309(of)-250.2(Mathematical)-252(Sciences)]TJ 3.6858 -1.1003 TD [(Ne)25.3(w)-251.1(Y)110.2(ork)-251.1(Uni)25.3(v)15.4(ersity)]TJ /TT6 1 Tf -2.655 -1.2801 TD (eero.simoncelli@nyu.edu)Tj /TT4 1 Tf 8.9664 0 0 8.9664 133.767 765.264 Tm [(Presented)-250.9(at:)-1333(NIPS*06,)-250.9(V)111.4(ancouv)15.1(er)-251.9(BC)-248.9(Canada,)-250.9(4-7)-249.9(December)-251.9(2006.)-2560.6(http://www)65.2(.nips.cc)]TJ -0.1124 -1.1112 TD [(Published)-249.9(in:)-1333(Adv)25.1(ances)-251.9(in)-249.9(Neural)-250.9(Information)-249.9(Processing)-249.9(Systems,)]TJ 6.5836 -1.1112 TD [(eds.)-310.2(B)-249.9(Sch)]TJ 4.3934 0.005 TD ()Tj -0.0833 -0.005 TD [(olk)10(opf,)-250.9(J)-248.9(Platt)-249.9(and)-250.9(T)-249.9(Hofmann)]TJ -4.3101 -1.1112 TD [(v)20.1(olume)-250.9(19,)-250.9(pages)-249.9(****,)-250.9(May)-249.9(2007,)-250.9(MIT)-248.9(Press,)-248.9(Cambridge)-250.9(MA.)]TJ 9.9626 0 0 9.9626 143.865 534.558 Tm [(Bayesian)-306.2(estimators)-304.4(are)-305.3(de)]TJ /TT7 1 Tf 10.8565 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(ned)-308.1(in)-304.4(terms)-304.4(of)-304.4(the)-305.3(posterior)-305.3(distrib)19.9(ution.)-474.3(T)80.4(ypically)65(,)]TJ -11.4126 -1.1003 TD [(this)-372.2(is)-371.3(written)-372.2(as)-372.2(the)-373.1(product)-374(of)-372.2(the)-372.2(lik)9.9(elihood)-374(function)-374(and)-373.1(a)-373.1(prior)-372.2(probability)]TJ T* [(density)65(,)-241.2(both)-239.4(of)-237.6(which)-239.4(are)-238.5(assumed)-239.4(to)-238.5(be)-238.5(kno)25.3(wn.)-308.1(But)-239.4(in)-237.6(man)15.4(y)-240.3(situations,)-240.3(the)-238.5(prior)]TJ 0 -1.0994 TD [(density)-310.8(is)-309.9(not)-309.9(kno)25.3(wn,)-327(and)-311.7(is)-309(dif)]TJ /TT7 1 Tf 12.8549 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(cult)-311.7(to)-309.9(learn)-310.8(from)-309.9(data)-310.8(since)-310.8(one)-311.7(does)-310.8(not)-310.8(ha)19.9(v)15.4(e)]TJ -13.411 -1.1003 TD [(access)-234(to)-234(uncorrupted)-235.8(samples)-233.1(of)-234(the)-233.1(v)25.3(ariable)-234.9(being)-234.9(estimated.)-305.3(W)80.4(e)-234(sho)25.3(w)-234(that)-234(for)-232.2(a)]TJ T* [(wide)-254.8(v)25.3(ariety)-255.7(of)-254.8(observ)25.3(ation)-256.6(models,)-255.7(the)-254.7(Bayes)-255.7(least)-253.8(squares)-254.8(\(BLS\))-254.7(estimator)-254.7(may)]TJ 0 -1.0994 TD [(be)-366.8(formulated)-366.8(without)-365.9(e)15.4(xplicit)-366.8(reference)-367.7(to)-365.9(the)-365.9(prior)55.1(.)-656.8(Speci)]TJ /TT7 1 Tf 24.6709 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(cally)65(,)-396.6(w)0(e)-366.8(deri)25.3(v)15.4(e)-366.8(a)]TJ -25.2271 -1.1003 TD [(direct)-262.9(e)15.4(xpression)-264.7(for)-262(the)-263.8(estimator)39.7(,)-264.7(and)-264.7(a)-262.9(related)-263.8(e)15.4(xpression)-263.8(for)-262.9(the)-262.9(mean)-263.8(squared)]TJ T* [(estimation)-234.9(error)39.7(,)-236.7(both)-235.8(in)-234.9(terms)-234(of)-234.9(the)-234.9(density)-234.9(of)-234.9(the)-234.9(observ)15.4(ed)-236.7(measurements.)-306.2(Each)]TJ 0 -1.0994 TD [(of)-355.9(these)-356.8(prior)19.9(-free)-355.9(formulations)-356.8(allo)25.3(ws)-355.9(us)-356.8(to)-355.9(approximate)-358.6(the)-356.8(estimator)-355.9(gi)25.3(v)15.4(e)0(n)-357.7(a)]TJ 0 -1.1003 TD (suf)Tj /TT7 1 Tf 1.1969 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(cient)-375.8(amount)-375.8(of)-374(observ)15.4(ed)-375.8(data.)-683.9(W)80.4(e)-374.9(use)-374(the)]TJ /TT7 1 Tf 18.457 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(rst)-374(form)-374(to)-374(de)25.3(v)15.4(elop)-377.6(practical)]TJ -20.7661 -1.1003 TD [(nonparametric)-222.2(approximations)-221.3(of)-219.5(BLS)-220.4(estimators)-219.5(for)-219.5(se)25.3(v)15.4(eral)-220.4(dif)25.3(ferent)-220.4(observ)25.3(ation)]TJ 0 -1.0994 TD [(processes,)-326.1(and)-312.6(the)-311.7(second)-312.6(form)-310.8(to)-310.8(de)25.3(v)15.4(elop)-313.5(a)-311.7(parametric)-311.7(f)9.9(amily)-310.8(of)-311.7(estimators)-309.9(for)]TJ 0 -1.1003 TD [(use)-308.1(in)-307.1(the)-307.1(additi)25.3(v)15.4(e)-309.9(Gaussian)-308.1(noise)-308(case.)-481.5(W)80.4(e)-308.1(e)15.4(xamine)-309.9(the)-308(empirical)-308.1(performance)]TJ T* [(of)-250.2(these)-250.2(estimators)-250.2(as)-250.2(a)-250.2(function)-251.1(of)-250.2(the)-250.2(amount)-252(of)-250.2(observ)15.4(ed)-252(data.)]TJ /TT2 1 Tf 11.9551 0 0 11.9551 108 352.263 Tm [(1)-1000.5(Intr)18.1(oduction)]TJ /TT4 1 Tf 9.9626 0 0 9.9626 108 328.6291 Tm [(Bayesian)-257.5(methods)-256.6(are)-255.7(widely)-256.6(used)-256.6(throughout)-257.5(engineering)-258.4(for)-254.7(estimating)-256.6(quantities)-255.7(from)-255.7(corrupted)]TJ T* [(measurements.)-300.8(Those)-220.4(that)-219.5(minimize)-219.5(the)-219.5(mean)-220.4(squared)-220.4(error)-218.6(\(kno)25.3(wn)-220.4(as)]TJ /TT9 1 Tf 28.2716 0 TD [(Bayes)-220.4(least)-218.6(squar)37(es)]TJ /TT4 1 Tf 7.7897 0 TD [(,)-225.8(o)0(r)-218.6(BLS\))]TJ -36.0613 -1.0994 TD [(are)-309.9(particularly)-310.8(widespread.)-491.4(These)-310.8(estimators)-309.9(are)-309.9(usually)-310.8(deri)25.3(v)15.4(e)0(d)-311.7(assuming)-310.8(e)15.4(xplicit)-310.8(kno)25.3(wledge)-313.5(of)]TJ 0 -1.1003 TD [(the)-293.6(observ)25.3(ation)-294.5(process)-292.7(\(e)15.4(xpressed)-294.5(as)-292.7(the)-293.6(conditional)-294.5(density)-293.6(of)-292.7(the)-292.7(observ)25.3(ation)-295.4(gi)25.3(v)15.4(e)0(n)-294.5(the)-292.7(quantity)]TJ T* [(to)-285.5(be)-285.5(estimated\),)-294.5(and)-286.4(the)-285.5(prior)-285.5(density)-286.4(o)15.4(v)15.4(e)0(r)-286.4(that)-285.5(quantity)65(.)-416.5(Despite)-286.4(its)-283.7(appeal,)-296.3(this)-284.6(approach)-287.3(is)-284.6(often)]TJ 0 -1.0994 TD [(criticized)-394.8(for)-393(the)-393.9(reliance)-394.8(on)-394.8(kno)25.3(wledge)-396.6(of)-393.9(the)-393.9(prior)-393.9(distrib)19.9(ution,)-429.1(since)-393.9(the)-394.8(true)-393.9(prior)-393(is)-393(usually)]TJ 0 -1.1003 TD [(not)-319.8(kno)25.3(wn,)-338.8(and)-320.7(in)-319.8(man)15.4(y)-320.7(cases)-319.8(one)-320.7(does)-320.7(not)-319.8(ha)19.9(v)15.4(e)-321.6(data)-319.8(dra)15.4(wn)-320.7(from)-319.8(this)-318.9(distrib)19.9(ution)-318.9(with)-319.8(which)-320.7(to)]TJ T* [(approximate)-382.1(it.)-698.3(In)-380.3(this)-379.4(case,)-412.8(it)-379.4(must)-379.4(be)-381.2(learned)-381.2(from)-379.4(the)-380.3(same)-380.3(observ)15.4(ed)-382.1(measurements)-382.1(that)-379.4(are)]TJ 0 -1.0994 TD [(a)19.9(v)25.3(ailable)-337(in)-336.1(the)-336.1(estimation)-336.1(problem.)-567.3(In)-335.2(general,)-357.7(learning)-337(the)-336.1(prior)-335.2(distrib)19.9(ution)-335.2(from)-336.1(the)-335.2(observ)15.4(ed)]TJ 0 -1.1003 TD [(data)-266.5(presents)-265.6(a)-265.6(dif)]TJ /TT7 1 Tf 7.2695 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(cult,)-269.2(if)-264.7(not)-265.6(impossible)-265.6(task,)-269.2(e)25.3(v)15.4(en)-267.4(when)-267.4(the)-265.6(observ)25.3(ation)-267.4(process)-265.6(is)-264.7(kno)25.3(wn.)-357.7(In)-264.7(the)]TJ -7.8256 -1.1003 TD [(commonly)-297.2(used)-295.4(empirical)-295.4(Bayesian)-296.3(approach)-297.2([1],)-304.4(one)-296.3(assumes)-294.5(a)-294.5(parametric)-296.3(f)9.9(amily)-294.5(of)-294.5(densities,)]TJ 0 -1.0994 TD [(whose)-346(parameters)-346(are)-345.1(obtained)-346.9(by)]TJ /TT7 1 Tf 14.3354 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(tting)-345.1(the)-346(data.)-595.3(This)-344.2(prior)-345.1(is)-344.2(then)-346(used)-346(to)-345.1(deri)25.3(v)15.4(e)-346(an)-346(estimator)]TJ -14.8916 -1.1003 TD [(that)-264.7(may)-265.6(be)-264.7(applied)-265.6(to)-264.7(the)-264.7(data.)-354.1(If)-262.9(the)-265.6(true)-263.8(prior)-264.7(is)-263.8(not)-264.7(a)-264.7(member)-265.6(of)-263.8(the)-264.7(assumed)-265.6(parametric)-265.6(f)9.9(amily)65(,)]TJ 0 -1.0994 TD [(ho)25.3(we)25.3(v)15.4(e)0(r)39.7(,)-252.9(such)-250.2(estimators)-250.2(can)-251.1(perform)-250.2(quite)-251.1(poorly)65(.)]TJ 0 -1.7002 TD [(An)-362.3(estimator)-361.3(may)-362.3(also)-361.3(be)-362.3(obtained)-364.1(in)-361.3(a)]TJ /TT9 1 Tf 16.781 0 TD (supervised)Tj /TT4 1 Tf 4.64 0 TD [(setting,)-389.4(in)-361.4(which)-362.3(one)-363.2(is)-360.5(pro)15.4(vided)-364.1(with)-361.4(man)15.4(y)]TJ -21.421 -1.1003 TD [(pairs)-231.3(containing)-234(a)-232.2(corrupted)-233.1(observ)25.3(ation)-234(along)-233.1(with)-231.3(the)-232.2(true)-232.2(v)25.3(alue)-233.1(of)-231.3(the)-232.2(quantity)-233.1(to)-232.2(be)-232.2(estimated.)-304.4(In)]TJ T* [(this)-295.4(case,)-308.1(selecting)-297.2(an)-296.3(estimator)-296.3(is)-295.4(a)-296.3(classic)-296.3(re)15.4(gression)-296.3(problem:)]TJ /TT7 1 Tf 26.1965 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(nd)-297.2(a)-296.3(function)-297.2(that)-296.3(best)-296.3(maps)-296.3(the)]TJ -26.7527 -1.0994 TD [(observ)25.3(ations)-243(to)-240.3(the)-242.1(correct)-241.2(v)25.3(alues,)-243.9(in)-241.2(a)-241.2(least)-240.3(squares)-242.1(sense.)-307.1(Gi)25.3(v)15.4(e)0(n)-242.1(a)-241.2(lar)18.1(ge)-242.1(enough)-243(number)-243(of)-240.3(training)]TJ 0 -1.1003 TD [(samples,)-355.9(this)-333.3(function)-336.1(will)-333.3(approach)-337(the)-335.2(BLS)-335.2(estimate,)-355(and)-336.1(should)-335.2(perform)-335.2(well)-334.3(on)-335.2(ne)25.3(w)-335.2(samples)]TJ T* [(dra)15.4(wn)-293.6(from)-291.8(the)-291.8(same)-292.7(distrib)19.9(ution)-291.8(as)-291.8(the)-292.7(training)-291.8(samples.)-436.3(In)-291.8(man)15.4(y)-293.6(real-w)9.9(orld)-291.8(situations,)-301.7(ho)25.3(we)25.3(v)15.4(e)0(r)39.7(,)]TJ 0 -1.0994 TD [(one)-251.1(does)-251.1(not)-250.2(ha)19.9(v)15.4(e)-252(access)-251.1(to)-250.2(such)-251.1(training)-250.2(data.)]TJ 0 -1.7002 TD [(In)-294.5(this)-293.6(paper)39.7(,)-306.2(w)0(e)-294.5(e)15.4(xamine)-297.2(the)-294.5(BLS)-295.4(estimation)-294.5(problem)-296.3(in)-293.6(a)-295.4(setting)-294.5(that)-294.5(lies)-293.6(between)-296.3(the)-294.5(tw)9.9(o)-294.5(cases)]TJ 0 -1.1003 TD [(described)-278.2(abo)15.4(v)15.4(e)0(.)-393.9(Speci)]TJ /TT7 1 Tf 9.3323 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(cally)65(,)-286.4(w)0(e)-277.3(assume)-277.3(the)-277.3(observ)25.3(ation)-279.1(process)-277.3(\(b)19.9(ut)-277.3(not)-277.3(the)-278.2(prior\))-276.4(is)-275.5(kno)25.3(wn,)-286.4(and)]TJ ET endstream endobj 3 0 obj << /ProcSet [/PDF /Text ] /Font << /TT2 4 0 R /TT4 5 0 R /TT6 6 0 R /TT7 7 0 R /TT9 8 0 R >> /ExtGState << /GS1 9 0 R >> >> endobj 12 0 obj << /Length 15939 >> stream BT /TT4 1 Tf 9.9626 0 0 9.9626 108 713.613 Tm 0 g /GS1 gs 0 Tc 0 Tw [(we)-201.5(assume)]TJ /TT9 1 Tf 4.5128 0 TD (unsupervised)Tj /TT4 1 Tf 5.4801 0 TD [(training)-201.5(data,)-211.4(consisting)-201.5(only)-201.5(of)-200.6(corrupted)-202.4(observ)25.3(ations)-203.3(\(without)-200.6(the)-201.5(correct)]TJ -9.9929 -1.0994 TD [(v)25.3(alues\).)-304.4(W)80.4(e)-231.3(sho)25.3(w)-231.3(that)-231.3(for)-230.4(man)15.4(y)-232.2(observ)25.3(ation)-233.1(processes,)-234.9(the)-231.3(BLS)-232.2(estimator)-230.4(may)-231.3(be)-232.2(written)-230.4(directly)-231.3(in)]TJ 0 -1.1003 TD [(terms)-218.6(of)-219.5(the)-219.5(observ)25.3(ation)-221.3(density)65(.)-599.8(W)80.4(e)-220.4(also)-218.6(sho)25.3(w)-220.4(a)-219.5(dual)-220.4(formulation,)-225.8(in)-219.5(which)-219.5(the)-220.4(BLS)-219.5(estimator)-219.5(may)]TJ T* [(be)-255.7(obtained)-256.6(by)-254.8(minimizing)-255.7(an)-255.7(e)15.4(xpression)-255.7(for)-253.8(the)-255.7(mean)-255.7(squared)-255.7(error)-254.7(that)-254.7(is)-252.9(written)-254.7(only)-255.6(in)-254.8(terms)-253.8(of)]TJ 0 -1.0994 TD [(the)-275.5(observ)25.3(ation)-277.3(density)65(.)-385.7(A)-274.6(fe)25.3(w)-275.5(special)-276.4(cases)-275.5(of)-550.2(the)]TJ /TT7 1 Tf 20.9388 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(rst)-274.6(formulation)-275.5(appear)-277.3(in)-274.6(the)-275.5(empirical)-276.4(Bayes)]TJ -21.4949 -1.1003 TD [(literature)-262([2],)-265.6(and)-262.9(of)-262.9(the)-262.9(second)-263.8(formulation)-262.9(in)-262.9(another)-263.8(branch)-263.8(of)-262.9(the)-262.9(statistical)-261.1(literature)-262.9(concerned)]TJ T* [(with)-262.9(impro)15.4(v)15.4(ement)-265.6(of)-262(estimators)-262.9([3,)-262(4,)-262(5].)-346.9(Our)-262.9(w)9.9(ork)-262.9(serv)15.4(es)-263.8(to)-262(unify)-263.8(these)-262.9(prior)19.9(-free)-262.9(methods)-263.8(within)]TJ 0 -1.0994 TD [(a)-222.2(linear)-223.1(algebraic)-224(frame)25.3(w)9.9(ork,)-228.6(and)-224(to)-222.2(generalize)-224(them)-223.1(to)-223.1(a)-222.2(wider)-223.1(range)-223.1(of)-222.2(cases.)-301.7(W)80.4(e)-222.2(de)25.3(v)15.4(elop)-225.8(practical)]TJ 0 -1.1003 TD [(nonparametric)-215.9(approximations)-215.9(of)-214.1(estimators)-213.2(for)-214.1(se)25.3(v)15.4(eral)-215(dif)25.3(ferent)-214.1(observ)25.3(ation)-215.9(processes,)-221.3(demonstrat-)]TJ T* [(ing)-300.8(empirically)-300.8(that)-299.9(the)15.4(y)-300.8(con)39.7(v)15.4(e)0(r)18.1(g)0(e)-302.6(t)0(o)-299.9(the)-300.8(BLS)-300.8(estimator)-299.9(as)-299.9(the)-299.9(amount)-301.7(of)-299.9(observ)15.4(ed)-301.7(data)-300.8(increases.)]TJ 0 -1.0994 TD [(W)80.4(e)-206.9(also)-206(de)25.3(v)15.4(elop)-208.7(a)-206.9(parametric)-206.9(f)9.9(amily)-206(of)-206(estimators)-206(for)-206(use)-206(in)-206(the)-206.9(additi)25.3(v)15.4(e)-207.8(Gaussian)-206.9(case,)-215.9(and)-206.9(e)15.4(xamine)]TJ 0 -1.1003 TD [(their)-228.6(empirical)-229.5(con)39.7(v)15.4(e)0(r)18.1(gence)-233.1(properties.)-302.6(W)80.4(e)-229.5(e)15.4(xpect)-231.3(such)-229.5(BLS)-229.5(estimators,)-232.2(constructed)-230.4(from)-228.6(corrupted)]TJ T* [(observ)25.3(ations)-263.8(without)-262.9(e)15.4(xplicit)-262.9(kno)25.3(wledge)-265.6(of,)-264.7(assumptions)-262.9(about,)-265.6(or)-262.9(samples)-262(from)-262(the)-262.9(prior)39.7(,)-263.8(t)0(o)-262.9(pro)15.4(v)15.4(e)]TJ 0 -1.0994 TD [(useful)-235.8(in)-235.8(a)-236.7(v)25.3(ariety)-236.7(real-w)9.9(orld)-235.8(estimation)-235.8(problems)-236.7(f)9.9(aced)-237.6(by)-235.8(machine)-238.5(or)-235.8(biological)-236.7(systems)-235.8(that)-235.8(must)]TJ 0 -1.1003 TD [(learn)-251.1(from)-249.3(e)15.4(xamples.)]TJ /TT2 1 Tf 11.9551 0 0 11.9551 108 531.606 Tm [(2)-1000.5(Bay)9.8(es)-249.2(least)-250.7(squar)18.1(es)-248.4(estimation)]TJ /TT4 1 Tf 9.9626 0 0 9.9626 108 508.251 Tm [(Suppose)-324.3(we)-323.4(mak)9.9(e)-323.4(a)0(n)-323.4(observ)25.3(ation,)]TJ /F1 1 Tf 14.1818 0 TD (Y)Tj /TT4 1 Tf 0.8031 0 TD [(,)-340.6(that)-322.5(depends)-324.3(on)-323.4(a)-323.4(hidden)-324.3(v)25.3(ariable)]TJ /F1 1 Tf 14.6687 0 TD (X)Tj /TT4 1 Tf 0.907 0 TD [(,)-340.6(where)]TJ /F1 1 Tf 3.3569 0 TD (X)Tj /TT4 1 Tf 1.2295 0 TD (and)Tj /F1 1 Tf 1.7673 0 TD (Y)Tj /TT4 1 Tf 1.1256 0 TD (may)Tj -38.0398 -1.1003 TD [(be)-386.6(scalars)-384.8(or)-385.7(v)15.4(ectors.)-717.3(Gi)25.3(v)15.4(e)0(n)-387.5(this)-384.8(observ)25.3(ation,)-421.9(the)-385.7(BLS)-386.6(estimate)-385.7(of)]TJ /F1 1 Tf 28.1915 0 TD (X)Tj /TT4 1 Tf 1.2918 0 TD [(is)-384.8(simply)-385.7(the)-386.6(conditional)]TJ -29.4833 -1.1003 TD [(e)15.4(xpectation)-317.1(of)-313.5(the)-314.4(posterior)-314.4(density)65(,)]TJ /F1 1 Tf 14.8665 0 TD (E)Tj /F2 1 Tf 0.7959 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (X)Tj /F2 1 Tf 0.907 0 TD (|)Tj /F1 1 Tf 0.2773 0 TD (Y)Tj /F3 1 Tf 1.1997 0 TD (=)Tj /F4 1 Tf 1.1735 0 TD (y)Tj /F2 1 Tf 0.6233 0 TD (})Tj /TT4 1 Tf 0.4996 0 TD [(.)-501.4(I)0(f)-313.5(the)-314.4(prior)-313.5(distrib)19.9(ution)-314.4(on)]TJ /F1 1 Tf 11.7444 0 TD (X)Tj /TT4 1 Tf 1.2214 0 TD (is)Tj /F1 1 Tf 0.9796 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 460.962 484.833 Tm (X)Tj /TT4 1 Tf 9.9626 0 0 9.9626 468.54 486.327 Tm [(,)-328.8(and)-315.3(the)]TJ -36.1892 -1.0994 TD [(lik)9.9(elihood)-251.1(function)-252(is)]TJ /F1 1 Tf 8.7973 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 202.032 473.574 Tm (Y)Tj /F6 1 Tf 0.9163 0 TD (|)Tj /F5 1 Tf 0.3394 0 TD (X)Tj /TT4 1 Tf 9.9626 0 0 9.9626 220.86 475.374 Tm [(then)-250.2(this)-250.2(can)-251.1(be)-251.1(written)-249.3(using)-251.1(Bayes)-251.1(rule)-250.2(as)]TJ /F1 1 Tf -3.3777 -2.347 TD (E)Tj /F2 1 Tf 0.7959 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (X)Tj /F2 1 Tf 0.907 0 TD (|)Tj /F1 1 Tf 0.2773 0 TD (Y)Tj /F3 1 Tf 1.0814 0 TD (=)Tj /F4 1 Tf 1.0561 0 TD (y)Tj /F2 1 Tf 0.6233 0 TD (})Tj /F3 1 Tf 1.4996 0 TD (=)Tj /F7 1 Tf 1.7778 1.3614 TD ()Tj /F4 1 Tf 1.1663 -1.3614 TD (x)Tj /F1 1 Tf 0.7733 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 297.792 450.192 Tm (X)Tj /F6 1 Tf 1.0144 0 TD (|)Tj /F5 1 Tf 0.3394 0 TD (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 314.136 451.992 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (x)Tj /F2 1 Tf 0.6071 0 TD (|)Tj /F4 1 Tf 0.2773 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /F1 1 Tf 0.5547 0 TD (d)Tj /F4 1 Tf 0.5204 0 TD (x)Tj /F3 1 Tf -8.9715 -2.6216 TD (=)Tj /F7 1 Tf 1.7778 1.3605 TD ()Tj /F4 1 Tf 1.1663 -1.3605 TD (x)Tj /F1 1 Tf 0.7733 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 297.792 424.0741 Tm (Y)Tj /F6 1 Tf 0.9176 0 TD (|)Tj /F5 1 Tf 0.3394 0 TD (X)Tj /F3 1 Tf 9.9626 0 0 9.9626 314.136 425.8741 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.6233 0 TD (|)Tj /F4 1 Tf 0.2773 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F1 1 Tf 0.5547 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 344.952 424.3801 Tm (X)Tj /F3 1 Tf 9.9626 0 0 9.9626 352.53 425.8741 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F1 1 Tf 0.5547 0 TD (d)Tj /F4 1 Tf 0.5203 0 TD (x)Tj /F7 1 Tf 0.8582 1.1093 TD ()Tj /F1 1 Tf 1.0615 -1.1093 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 398.682 424.3801 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 405.576 425.8741 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /F1 1 Tf 0.6387 0 TD (,)Tj /TT4 1 Tf 7.0626 0 TD (\(1\))Tj -38.5823 -2.1735 TD [(where)-251.1(the)-250.2(denominator)-252.9(is)-249.3(the)-250.2(distrib)19.9(ution)-250.2(of)-250.2(the)-250.2(observ)15.4(ed)-252.9(data:)]TJ /F1 1 Tf 12.5849 -2.0046 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 239.778 382.7551 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 246.672 384.2491 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD 0.2778 Tc (\)=)Tj /F7 1 Tf 1.7227 1.3614 TD 0 Tc ()Tj /F1 1 Tf 1.1663 -1.3614 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 291.933 382.449 Tm (Y)Tj /F6 1 Tf 0.9176 0 TD (|)Tj /F5 1 Tf 0.3394 0 TD (X)Tj /F3 1 Tf 9.9626 0 0 9.9626 308.268 384.2491 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.6233 0 TD (|)Tj /F4 1 Tf 0.2773 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F1 1 Tf 0.5547 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 339.084 382.7551 Tm (X)Tj /F3 1 Tf 9.9626 0 0 9.9626 346.671 384.2491 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F1 1 Tf 0.5547 0 TD (d)Tj /F4 1 Tf 0.5204 0 TD (x)Tj /F1 1 Tf 0.8582 0 TD (.)Tj /TT4 1 Tf 11.6969 0 TD (\(2\))Tj -38.5823 -2.1744 TD [(If)-249.3(we)-250.2(kno)25.3(w)]TJ /F1 1 Tf 4.7805 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 162.009 361.092 Tm (X)Tj /TT4 1 Tf 9.9626 0 0 9.9626 172.071 362.5861 Tm (and)Tj /F1 1 Tf 1.695 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 195.345 360.7861 Tm (Y)Tj /F6 1 Tf 0.9176 0 TD (|)Tj /F5 1 Tf 0.3394 0 TD (X)Tj /TT4 1 Tf 9.9626 0 0 9.9626 211.68 362.5861 Tm [(,)-250.2(w)0(e)-250.2(can)-251.1(calculate)-252(this)-250.2(e)15.4(xplicitly)65(.)]TJ -10.4069 -1.7002 TD [(Alternati)25.3(v)15.4(ely)65(,)-404.7(i)0(f)-372.2(w)0(e)-373.1(d)0(o)-374(not)-373.1(kno)25.3(w)]TJ /F1 1 Tf 13.9437 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 253.287 344.1541 Tm (X)Tj /TT4 1 Tf 9.9626 0 0 9.9626 264.564 345.648 Tm (or)Tj /F1 1 Tf 1.2061 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 282.978 343.8481 Tm (Y)Tj /F6 1 Tf 0.9176 0 TD (|)Tj /F5 1 Tf 0.3394 0 TD (X)Tj /TT4 1 Tf 9.9626 0 0 9.9626 299.313 345.648 Tm [(,)-402.9(b)19.9(ut)-373.1(are)-373.1(gi)25.3(v)15.4(e)0(n)-374.9(independent)-376.7(identically)-374(distrib)19.9(uted)]TJ -19.203 -1.2051 TD [(\(i.i.d.\))-608.9(samples)]TJ /F3 1 Tf 6.6537 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (X)Tj /F5 1 Tf 6.9738 0 0 6.9738 186.426 332.148 Tm (n)Tj /F1 1 Tf 9.9626 0 0 9.9626 191.853 333.642 Tm 0.1658 Tc (,Y)Tj /F5 1 Tf 6.9738 0 0 6.9738 202.059 332.148 Tm 0 Tc (n)Tj /F3 1 Tf 9.9626 0 0 9.9626 207.486 333.642 Tm (\))Tj /TT4 1 Tf 0.739 0 TD [(dra)15.4(wn)-352.3(from)-349.6(the)-351.4(joint)-350.5(distrib)19.9(ution)-349.6(of)]TJ /F3 1 Tf 15.0111 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD 0.0225 Tc [(X,)-143.3(Y)]TJ /F3 1 Tf 2.0995 0 TD 0 Tc (\))Tj /TT4 1 Tf 0.3884 0 TD [(,)-374.9(then)-351.4(we)-351.4(can)-351.4(solv)15.4(e)-351.4(for)-349.6(the)]TJ -28.6124 -1.1003 TD (estimator)Tj /F1 1 Tf 4.0753 0 TD (f)Tj /F3 1 Tf 0.5971 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD 0.4711 Tc (\)=)Tj /F1 1 Tf 2.1094 0 TD 0 Tc (E)Tj /F2 1 Tf 0.7959 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (X)Tj /F2 1 Tf 0.907 0 TD (|)Tj /F1 1 Tf 0.2773 0 TD (Y)Tj /F3 1 Tf 1.2747 0 TD (=)Tj /F4 1 Tf 1.2485 0 TD (y)Tj /F2 1 Tf 0.6233 0 TD (})Tj /TT4 1 Tf 0.8537 0 TD [(nonparametrically)65(,)-383.9(o)0(r)-354.1(w)0(e)-355(could)-355.9(choose)-355.9(a)-355(parametric)-355(f)9.9(amily)-355(of)]TJ -14.2736 -1.1003 TD (estimators)Tj /F2 1 Tf 4.3597 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 161.298 310.2241 Tm ()Tj /F2 1 Tf 9.9626 0 0 9.9626 165.816 311.718 Tm (})Tj /TT4 1 Tf 0.4996 0 TD [(,)-250.2(and)-251.1(choose)]TJ /F1 1 Tf 5.2241 0 TD ()Tj /TT4 1 Tf 0.7471 0 TD [(to)-250.2(minimize)-250.2(the)-251.1(empirical)-250.2(squared)-252(error:)]TJ /F3 1 Tf 0.207 -2.4436 TD ()Tj /F1 1 Tf -0.0822 -0.2638 TD ()Tj /F3 1 Tf 0.7751 0 TD -0.0001 Tc [(=)-278.4(a)0.3(rg)-180.3(min)]TJ /F5 1 Tf 6.9738 0 0 6.9738 271.728 278.238 Tm 0 Tc ()Tj /F3 1 Tf 9.9626 0 0 9.9626 286.947 291.4771 Tm (1)Tj ET 0 G 0 J 0 j 0.405 w 10 M []0 d 1 i 284.886 287.234 m 293.985 287.234 l S BT /F1 1 Tf 9.9626 0 0 9.9626 284.886 277.9051 Tm (N)Tj /F5 1 Tf 6.9738 0 0 6.9738 300.816 297.192 Tm (N)Tj /F7 1 Tf 9.9626 0 0 9.9626 297.144 294.204 Tm ()Tj /F5 1 Tf 6.9738 0 0 6.9738 296.838 273.108 Tm (n)Tj /F8 1 Tf 0.706 0 TD 0.0007 Tc (=1)Tj /F2 1 Tf 9.9626 0 0 9.9626 313.506 284.7451 Tm 0 Tc (|)Tj /F1 1 Tf 0.2773 0 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 321.147 283.2511 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 325.656 284.7451 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F5 1 Tf 6.9738 0 0 6.9738 335.313 283.2511 Tm (n)Tj /F3 1 Tf 9.9626 0 0 9.9626 340.74 284.7451 Tm (\))Tj /F2 1 Tf 0.6116 0 TD ()Tj /F1 1 Tf 1 0 TD (X)Tj /F5 1 Tf 6.9738 0 0 6.9738 365.049 283.2511 Tm (n)Tj /F2 1 Tf 9.9626 0 0 9.9626 370.467 284.7451 Tm (|)Tj /F8 1 Tf 6.9738 0 0 6.9738 373.23 288.858 Tm (2)Tj /F1 1 Tf 9.9626 0 0 9.9626 377.703 284.7451 Tm (.)Tj /TT4 1 Tf -27.0714 -2.5809 TD [(Ho)25.3(we)25.3(v)15.4(e)0(r)39.7(,)-252(in)-250.2(man)15.4(y)-252(situations,)-249.3(one)-252(does)-250.2(not)-251.1(ha)19.9(v)15.4(e)-252(access)-251.1(to)]TJ /F1 1 Tf 23.1262 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 344.727 257.538 Tm (X)Tj /TT4 1 Tf 9.9626 0 0 9.9626 352.296 259.032 Tm [(,)-249.3(o)0(r)-250.2(t)0(o)-250.2(samples)-250.2(dra)15.4(wn)-252(from)]TJ /F1 1 Tf 11.0115 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 468.387 257.538 Tm (X)Tj /TT4 1 Tf 9.9626 0 0 9.9626 475.965 259.032 Tm (.)Tj /TT2 1 Tf -36.9345 -2.4798 TD [(2.1)-1000.9(Prior)37(-fr)18.1(ee)-252(r)18.1(e)0(f)25.3(ormulation)-252(of)-250.2(the)-251.1(BLS)-250.2(estimator)]TJ /TT4 1 Tf 0 -2.0597 TD [(In)-261.1(man)15.4(y)-262.9(cases,)-263.8(the)-261.1(BLS)-262(estimate)-261.1(may)-262(be)-262(written)-260.2(without)-262(e)15.4(xplicit)-262(reference)-262(to)-261.1(the)-262(prior)-260.2(distrib)19.9(ution.)]TJ 0 -1.1003 TD [(W)80.4(e)-251.1(be)15.4(gin)-251.1(by)-251.1(noting)-251.1(that)-250.2(in)-250.2(Eq.)-251.1(\(1\),)-249.3(the)-250.2(prior)-250.2(appears)-251.1(only)-251.1(in)-250.2(the)-251.1(numerator)]TJ /F1 1 Tf 12.5343 -2.2078 TD (N)Tj /F3 1 Tf 0.9124 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD 0.2778 Tc (\)=)Tj /F7 1 Tf 1.7227 1.3614 TD 0 Tc ()Tj /F1 1 Tf 1.1663 -1.3614 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 287.226 179.049 Tm (Y)Tj /F6 1 Tf 0.9176 0 TD (|)Tj /F5 1 Tf 0.3394 0 TD (X)Tj /F3 1 Tf 9.9626 0 0 9.9626 303.561 180.849 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.6233 0 TD (|)Tj /F4 1 Tf 0.2773 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F4 1 Tf 0.5547 0 TD (x)Tj /F1 1 Tf 0.7733 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 342.081 179.3551 Tm (X)Tj /F3 1 Tf 9.9626 0 0 9.9626 349.668 180.849 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F1 1 Tf 0.5547 0 TD (d)Tj /F4 1 Tf 0.5203 0 TD (x)Tj /F1 1 Tf 0.6071 0 TD (.)Tj /TT4 1 Tf -26.9351 -2.2404 TD [(This)-250.2(equation)-252(may)-251.1(be)-251.1(vie)25.3(wed)-252(as)-249.3(a)-251.1(composition)-251.1(of)-250.2(linear)-250.2(transformations)-250.2(of)-250.2(the)-251.1(function)]TJ /F1 1 Tf 35.2547 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 465.561 157.0351 Tm (X)Tj /F3 1 Tf 9.9626 0 0 9.9626 473.13 158.529 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F1 1 Tf -23.3658 -1.6297 TD (N)Tj /F3 1 Tf 0.9124 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD 0.2781 Tc (\)=\()Tj /F4 1 Tf 2.1112 0 TD 0 Tc (A)Tj /F2 1 Tf 1.0922 0 TD ()Tj /F4 1 Tf 0.7218 0 TD (X)Tj /F3 1 Tf 0.8691 0 TD (\))Tj /F2 1 Tf 0.3885 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 332.442 140.799 Tm (X)Tj /F2 1 Tf 9.9626 0 0 9.9626 340.029 142.2931 Tm (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (,)Tj /TT4 1 Tf -25.1897 -1.6297 TD (where)Tj /F4 1 Tf 15.8488 -1.1003 TD (X)Tj /F2 1 Tf 0.8691 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (f)Tj /F2 1 Tf 0.5971 0 TD (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD 0.2796 Tc (\)=)Tj /F4 1 Tf 1.7237 0 TD 0 Tc (x)Tj /F1 1 Tf 0.6071 0 TD (f)Tj /F3 1 Tf 0.5971 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (,)Tj /TT4 1 Tf -23.6215 -1.3975 TD [(and)-251.1(the)-251.1(operator)]TJ /F4 1 Tf 6.7505 0 TD (A)Tj /TT4 1 Tf 1.1193 0 TD [(computes)-252(an)-250.2(inner)-251.1(product)-251.1(with)-250.2(the)-251.1(lik)9.9(elihood)-251.1(function)]TJ /F4 1 Tf 4.6772 -2.2078 TD (A)Tj /F2 1 Tf 0.8691 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (f)Tj /F2 1 Tf 0.5971 0 TD (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD 0.2787 Tc (\)=)Tj /F7 1 Tf 1.7236 1.3614 TD 0 Tc ()Tj /F1 1 Tf 1.1663 -1.3614 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 302.832 77.376 Tm (Y)Tj /F6 1 Tf 0.9176 0 TD (|)Tj /F5 1 Tf 0.3394 0 TD (X)Tj /F3 1 Tf 9.9626 0 0 9.9626 319.167 79.1761 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.6233 0 TD (|)Tj /F4 1 Tf 0.2773 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F1 1 Tf 0.5547 0 TD (f)Tj /F3 1 Tf 0.5971 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F1 1 Tf 0.5547 0 TD (d)Tj /F4 1 Tf 0.5204 0 TD (x)Tj /F1 1 Tf 0.6071 0 TD (.)Tj /TT4 1 Tf -7.2975 -3.3615 TD (2)Tj ET endstream endobj 13 0 obj << /ProcSet [/PDF /Text ] /Font << /F1 14 0 R /F2 15 0 R /F3 16 0 R /F4 17 0 R /F5 18 0 R /F6 19 0 R /F7 20 0 R /F8 21 0 R /TT2 4 0 R /TT4 5 0 R /TT7 7 0 R /TT9 8 0 R >> /ExtGState << /GS1 9 0 R >> >> endobj 23 0 obj << /Length 21233 >> stream BT /TT4 1 Tf 9.9626 0 0 9.9626 108 713.613 Tm 0 g /GS1 gs 0 Tc 0 Tw [(Similarly)65(,)-366.8(Eq.)-345.1(\(2\))-343.3(may)-345.1(be)-344.2(vie)25.3(wed)-346(as)-343.3(the)-345.1(linear)-344.2(transformation)]TJ /F4 1 Tf 25.6473 0 TD (A)Tj /TT4 1 Tf 1.2132 0 TD [(applied)-345.1(to)]TJ /F1 1 Tf 4.4105 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 425.907 712.119 Tm (X)Tj /F3 1 Tf 9.9626 0 0 9.9626 433.476 713.613 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /TT4 1 Tf 0.3885 0 TD [(.)-591.7(I)0(f)-343.3(the)-344.2(linear)]TJ -34.0536 -1.0994 TD (transformation)Tj /F4 1 Tf 6.2251 0 TD (A)Tj /TT4 1 Tf 1.2069 0 TD [(is)-337(1-1,)-359.5(and)-338.8(we)-338.8(restrict)]TJ /F1 1 Tf 9.3463 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 281.556 701.166 Tm (Y)Tj /TT4 1 Tf 9.9626 0 0 9.9626 291.816 702.66 Tm [(to)-337.9(lie)-337(in)-337.9(the)-337.9(range)-338.8(of)]TJ /F4 1 Tf 8.8577 0 TD (A)Tj /TT4 1 Tf 0.8691 0 TD [(,)-359.5(then)-338.8(we)-337.9(can)-338.8(then)-338.8(write)-337(the)]TJ -28.1773 -1.1003 TD [(numerator)-251.1(as)-250.2(a)-250.2(linear)-251.1(transformation)-250.2(on)]TJ /F1 1 Tf 16.0539 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 274.32 690.204 Tm (Y)Tj /TT4 1 Tf 9.9626 0 0 9.9626 283.698 691.698 Tm [(alone,)-252(without)-250.2(e)15.4(xplicit)-251.1(reference)-252(to)]TJ /F1 1 Tf 14.2066 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 431.613 690.204 Tm (X)Tj /TT4 1 Tf 9.9626 0 0 9.9626 439.182 691.698 Tm (:)Tj /F1 1 Tf -20.9556 -1.8889 TD (N)Tj /F3 1 Tf 0.9124 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD 1.0003 Tc (\)=\()Tj /F4 1 Tf 3.5557 0 TD 0 Tc (A)Tj /F2 1 Tf 1.0922 0 TD ()Tj /F4 1 Tf 0.7218 0 TD (X)Tj /F2 1 Tf 1.0913 0 TD ()Tj /F4 1 Tf 0.7227 0 TD (A)Tj /F6 1 Tf 6.9738 0 0 6.9738 329.805 676.9921 Tm ()Tj /F8 1 Tf 0.8931 0 TD (1)Tj /F3 1 Tf 9.9626 0 0 9.9626 340.506 672.879 Tm (\))Tj /F2 1 Tf 0.3885 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 355.752 671.385 Tm (Y)Tj /F2 1 Tf 9.9626 0 0 9.9626 362.655 672.879 Tm (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj -11.472 -1.4002 TD (=)Tj /F4 1 Tf 1.7779 0 TD (L)Tj /F2 1 Tf 0.692 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 299.403 657.4351 Tm (Y)Tj /F2 1 Tf 9.9626 0 0 9.9626 306.297 658.9291 Tm (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (.)Tj /TT4 1 Tf 16.7784 0 TD (\(3\))Tj -38.5823 -1.889 TD [(In)-355(the)-355.9(discrete)-355.9(case,)]TJ /F1 1 Tf 8.5847 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 199.917 638.616 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 206.811 640.11 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /TT4 1 Tf 0.7435 0 TD (and)Tj /F1 1 Tf 1.8007 0 TD (N)Tj /F3 1 Tf 0.9124 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /TT4 1 Tf 0.7444 0 TD [(are)-355.9(each)-356.8(v)15.4(ectors,)]TJ /F4 1 Tf 7.2704 0 TD (A)Tj /TT4 1 Tf 1.2241 0 TD [(is)-355(a)-355.9(matrix)-355(containing)]TJ /F4 1 Tf 9.3661 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 454.554 638.3101 Tm (Y)Tj /F6 1 Tf 0.9176 0 TD (|)Tj /F5 1 Tf 0.3394 0 TD (X)Tj /TT4 1 Tf 9.9626 0 0 9.9626 470.898 640.11 Tm (,)Tj /F4 1 Tf 0.6312 0 TD (X)Tj /TT4 1 Tf 1.225 0 TD [(is)-355(a)]TJ -38.2821 -1.0994 TD [(diagonal)-252(matrix)-250.2(containing)-252(v)25.3(alues)-252(of)]TJ /F4 1 Tf 14.893 0 TD (x)Tj /TT4 1 Tf 0.6071 0 TD [(,)-250.2(and)]TJ /F2 1 Tf 2.1952 0 TD ()Tj /TT4 1 Tf 0.7498 0 TD [(is)-249.3(matrix)-250.2(multiplication.)]TJ -18.4451 -1.7002 TD [(This)-250.2(allo)25.3(ws)-250.2(us)-250.2(to)-250.2(write)-249.3(the)-251.1(BLS)-251.1(estimator)-250.2(as)]TJ /F1 1 Tf 12.8659 -2.3298 TD (E)Tj /F2 1 Tf 0.7959 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (X)Tj /F2 1 Tf 0.907 0 TD (|)Tj /F1 1 Tf 0.2773 0 TD (Y)Tj /F3 1 Tf 1.0814 0 TD (=)Tj /F4 1 Tf 1.0552 0 TD (y)Tj /F2 1 Tf 0.6233 0 TD (})Tj /F3 1 Tf 0.7778 0 TD (=)Tj /F4 1 Tf 1.1752 0.6766 TD (L)Tj /F2 1 Tf 0.692 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 326.106 594.2551 Tm (Y)Tj /F2 1 Tf 9.9626 0 0 9.9626 333 595.749 Tm (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj ET 0 G 0 J 0 j 0.405 w 10 M []0 d 1 i 307.836 591.506 m 351.945 591.506 l S BT /F1 1 Tf 9.9626 0 0 9.9626 316.26 582.1771 Tm (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 322.659 580.683 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 329.553 582.1771 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /F1 1 Tf 1.3551 0.6857 TD (.)Tj /TT4 1 Tf 13.977 0 TD (\(4\))Tj -38.5822 -3.1745 TD [(Note)-401.1(that)-401.1(if)-399.3(we)-401.1(wished)-401.1(to)-400.2(calculate)]TJ /F1 1 Tf 15.1906 0 TD (E)Tj /F2 1 Tf 0.7959 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (X)Tj /F5 1 Tf 6.9738 0 0 6.9738 281.259 560.991 Tm (n)Tj /F2 1 Tf 9.9626 0 0 9.9626 286.677 557.3821 Tm (|)Tj /F1 1 Tf 0.2773 0 TD (Y)Tj /F2 1 Tf 0.804 0 TD (})Tj /TT4 1 Tf 0.4996 0 TD [(,)-438.1(then)-401.1(Eq.)-401.1(\(3\))-399.3(w)9.9(ould)-402(be)-401.1(replaced)-402(by)]TJ /F3 1 Tf 15.5645 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (A)Tj /F2 1 Tf 1.2042 0 TD ()Tj /F4 1 Tf 0.8329 0 TD (X)Tj /F5 1 Tf 6.9738 0 0 6.9738 490.266 560.991 Tm (n)Tj /F2 1 Tf 9.9626 0 0 9.9626 499.023 557.3821 Tm ()Tj /F4 1 Tf -39.2489 -1.1003 TD (A)Tj /F6 1 Tf 6.9738 0 0 6.9738 116.658 550.038 Tm ()Tj /F8 1 Tf 0.8931 0 TD (1)Tj /F3 1 Tf 9.9626 0 0 9.9626 127.359 546.42 Tm (\))Tj /F2 1 Tf 0.3885 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 142.605 544.926 Tm (Y)Tj /F2 1 Tf 9.9626 0 0 9.9626 149.508 546.42 Tm (})Tj /F3 1 Tf 0.9359 0 TD 0.4364 Tc (=\()Tj /F4 1 Tf 1.6026 0 TD 0 Tc (A)Tj /F2 1 Tf 1.1554 0 TD ()Tj /F4 1 Tf 0.7859 0 TD (X)Tj /F2 1 Tf 1.1554 0 TD ()Tj /F4 1 Tf 0.785 0 TD (A)Tj /F6 1 Tf 6.9738 0 0 6.9738 222.129 550.038 Tm ()Tj /F8 1 Tf 0.8931 0 TD (1)Tj /F3 1 Tf 9.9626 0 0 9.9626 232.83 546.42 Tm (\))Tj /F5 1 Tf 6.9738 0 0 6.9738 236.7 550.038 Tm (n)Tj /F2 1 Tf 9.9626 0 0 9.9626 242.127 546.42 Tm ({)Tj /F1 1 Tf 0.4996 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 253.503 544.926 Tm (Y)Tj /F2 1 Tf 9.9626 0 0 9.9626 260.406 546.42 Tm (})Tj /F3 1 Tf 0.9359 0 TD (=)Tj /F4 1 Tf 1.2141 0 TD (L)Tj /F5 1 Tf 6.9738 0 0 6.9738 288.72 550.038 Tm (n)Tj /F2 1 Tf 9.9626 0 0 9.9626 294.138 546.42 Tm ({)Tj /F1 1 Tf 0.4996 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 305.514 544.926 Tm (Y)Tj /F2 1 Tf 9.9626 0 0 9.9626 312.417 546.42 Tm (})Tj /TT4 1 Tf 0.8356 0 TD [(.)-566.4(B)0(y)-336.1(linearity)-336.1(of)-336.1(the)-336.1(conditional)-337.9(e)15.4(xpectation,)]TJ -21.354 -1.1003 TD [(we)-272.8(may)-272.8(e)15.4(xtend)-274.6(this)-271.9(to)-271.9(an)15.4(y)-273.7(polynomial)-274.6(function)-272.8(\(and)-273.7(thus)-271.9(to)-272.8(an)15.4(y)-273.7(function)-272.8(that)-272.8(can)-273.7(be)-272.8(approximated)]TJ 0 -1.0994 TD [(with)-250.2(a)-250.2(polynomial\):)]TJ /F1 1 Tf 8.9506 -2.9342 TD (E)Tj /F7 1 Tf 0.963 1.7101 TD ()Tj /F5 1 Tf 6.9738 0 0 6.9738 222.525 507.729 Tm (M)Tj /F7 1 Tf 9.9626 0 0 9.9626 219.501 504.741 Tm ()Tj /F5 1 Tf 6.9738 0 0 6.9738 214.794 483.294 Tm (k)Tj /F8 1 Tf 0.6324 0 TD (=)Tj /F6 1 Tf 0.8776 0 TD ()Tj /F5 1 Tf 0.8931 0 TD (N)Tj /F1 1 Tf 9.9626 0 0 9.9626 240.255 495.273 Tm (c)Tj /F5 1 Tf 6.9738 0 0 6.9738 244.566 493.7791 Tm (k)Tj /F1 1 Tf 9.9626 0 0 9.9626 249.471 495.273 Tm (X)Tj /F5 1 Tf 6.9738 0 0 6.9738 258.507 499.386 Tm (k)Tj /F2 1 Tf 9.9626 0 0 9.9626 263.403 495.273 Tm (|)Tj /F1 1 Tf 0.2773 0 TD (Y)Tj /F3 1 Tf 1.0813 0 TD (=)Tj /F4 1 Tf 1.0552 0 TD (y)Tj /F7 1 Tf 0.6233 1.7101 TD ()Tj /F3 1 Tf 1.0831 -1.7101 TD (=)Tj /F7 1 Tf 1.1753 1.5231 TD ()Tj /F5 1 Tf 6.9738 0 0 6.9738 326.682 507.9901 Tm (M)Tj 0 -1.1473 TD (k)Tj /F8 1 Tf 0.6324 0 TD (=)Tj /F6 1 Tf 0.8776 0 TD ()Tj /F5 1 Tf 0.8931 0 TD (N)Tj /F1 1 Tf 9.9626 0 0 9.9626 352.647 502.9771 Tm (c)Tj /F5 1 Tf 6.9738 0 0 6.9738 356.958 501.483 Tm (k)Tj /F4 1 Tf 9.9626 0 0 9.9626 361.854 502.9771 Tm (L)Tj /F5 1 Tf 6.9738 0 0 6.9738 368.748 506.595 Tm (k)Tj /F2 1 Tf 9.9626 0 0 9.9626 373.653 502.9771 Tm ({)Tj /F1 1 Tf 0.4996 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 385.029 501.483 Tm (Y)Tj /F2 1 Tf 9.9626 0 0 9.9626 391.923 502.9771 Tm (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj ET 316.161 497.771 m 410.859 497.771 l S BT /F1 1 Tf 9.9626 0 0 9.9626 349.893 488.442 Tm (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 356.292 486.9481 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 363.186 488.442 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /F1 1 Tf 3.8935 0.6857 TD (.)Tj /TT4 1 Tf -30.5196 -3.6894 TD [(In)-280.9(the)-281.9(de)]TJ /TT7 1 Tf 3.5613 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(nition)-282.8(of)-280.9(the)-281.9(operator)]TJ /F4 1 Tf 8.8471 0 TD (L)Tj /TT4 1 Tf 0.692 0 TD (,)Tj /F4 1 Tf 0.5391 0 TD (A)Tj /F6 1 Tf 6.9738 0 0 6.9738 258.057 462.1351 Tm ()Tj /F8 1 Tf 0.8931 0 TD (1)Tj /TT4 1 Tf 9.9626 0 0 9.9626 271.548 458.517 Tm [(ef)25.3(fecti)25.3(v)15.4(ely)-283.7(in)39.7(v)15.4(erts)-280.9(the)-281.9(observ)25.3(ation)-282.8(process,)-290(reco)15.4(v)15.4(ering)]TJ /F1 1 Tf 21.934 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 496.431 457.023 Tm (X)Tj /TT4 1 Tf 9.9626 0 0 9.9626 108 447.5641 Tm (from)Tj /F1 1 Tf 2.2916 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 137.232 446.0701 Tm (Y)Tj /TT4 1 Tf 9.9626 0 0 9.9626 144.126 447.5641 Tm [(.)-602.6(I)0(n)-348.7(man)15.4(y)-349.6(situations,)-371.3(this)-347.8(operation)-349.6(will)-346.9(not)-348.7(be)-348.7(well-beha)19.9(v)15.4(ed.)-606.2(F)15.4(o)0(r)-348.7(e)15.4(xample,)-374(in)-347.8(the)-348.7(case)]TJ -3.6261 -1.1003 TD [(of)-269.2(additi)25.3(v)15.4(e)-271(Gaussian)-270.1(noise,)]TJ /F4 1 Tf 11.1245 0 TD (A)Tj /F6 1 Tf 6.9738 0 0 6.9738 227.466 440.2201 Tm ()Tj /F8 1 Tf 0.8931 0 TD (1)Tj /TT4 1 Tf 9.9626 0 0 9.9626 240.849 436.6021 Tm [(is)-268.3(a)-269.2(decon)39.8(v)19.9(olution)-272.8(operation)-270.1(which)-271(is)-268.3(inherently)-270.1(unstable)-270.1(for)-269.2(high)]TJ -13.3347 -1.1003 TD [(frequencies.)-355.9(The)-266.5(usefulness)-264.7(of)-265.6(Eq.)-264.7(\(4\))-264.7(comes)-266.5(from)-264.7(the)-265.6(f)9.9(act)-264.7(that)-265.6(in)-264.7(man)15.4(y)-266.5(cases,)-269.2(the)-265.6(composite)-265.6(oper)19.9(-)]TJ 0 -1.0994 TD (ation)Tj /F4 1 Tf 2.2633 0 TD (L)Tj /TT4 1 Tf 0.954 0 TD [(may)-263.8(be)-263.8(written)-262.9(e)15.4(xplicitly)65(,)-267.4(e)25.3(v)15.4(e)0(n)-264.7(when)-264.7(the)-262.9(in)39.8(v)15.4(erse)-263.8(operation)-264.7(is)-262(poorly)-263.8(de)]TJ /TT7 1 Tf 28.4142 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(ned)-265.6(or)-262.9(unstable.)-349.6(In)]TJ -32.1877 -1.1003 TD [(section)-251.1(3,)-250.2(we)-250.2(de)25.3(v)15.4(elop)-252.9(e)15.4(xamples)-252(of)-250.2(operators)]TJ /F4 1 Tf 17.9461 0 TD (L)Tj /TT4 1 Tf 0.9413 0 TD [(for)-250.2(a)-250.2(v)25.3(ariety)-251.1(of)-250.2(observ)25.3(ation)-252(processes.)]TJ /TT2 1 Tf -18.8874 -2.6099 TD [(2.2)-1000.9(Prior)37(-fr)18.1(ee)-252(r)18.1(e)0(f)25.3(ormulation)-252(of)-250.2(the)-251.1(mean)-251.1(squar)18.1(ed)-252(err)18.1(or)]TJ /TT4 1 Tf 0 -2.1003 TD [(In)-238.5(some)-239.4(cases,)-241.2(de)25.3(v)15.4(eloping)-243(a)-238.5(stable)-239.4(nonparametric)-241.2(approximation)-241.2(of)-238.5(the)-239.4(ratio)-238.5(in)-239.4(Eq.)-238.5(\(4\))-238.5(may)-240.3(be)-239.4(dif)]TJ /TT7 1 Tf 38.8675 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD (-)Tj -39.4237 -1.0994 TD [(cult.)-369.5(Ho)25.3(we)25.3(v)15.4(e)0(r)39.7(,)-277.3(the)-271(linear)-270.1(operator)-271(formulation)-271(of)-269.2(the)-271(BLS)-271(estimator)-270.1(also)-270.1(leads)-270.1(to)-270.1(a)-270.1(dual)-271(e)15.4(xpression)]TJ 0 -1.1003 TD [(for)-213.2(the)-214.1(mean)-215(squared)-214.1(error)-213.2(that)-214.1(does)-214.1(not)-214.1(depend)-215.9(e)15.4(xplicitly)-215(on)-214.1(the)-214.1(prior)39.7(,)-219.5(and)-215(this)-212.3(may)-215(be)-214.1(used)-214.1(to)-214.1(select)]TJ T* [(an)-284.6(optimal)-284.6(estimator)-282.8(from)-283.7(a)-284.6(parametric)-284.6(f)9.9(amily)-283.7(of)-283.7(estimators.)-410.1(Speci)]TJ /TT7 1 Tf 27.0804 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(cally)65(,)-293.6(for)-283.7(an)15.4(y)-285.5(estimator)]TJ /F1 1 Tf 9.5904 0 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 483.75 322.428 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 488.25 323.922 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F3 1 Tf 0.804 0 TD (\))Tj /TT4 1 Tf -39.3601 -1.0994 TD [(parameterized)-252(by)]TJ /F1 1 Tf 7.1658 0 TD ()Tj /TT4 1 Tf 0.4978 0 TD [(,)-249.3(the)-250.2(mean)-252(squared)-251.1(error)-250.2(may)-251.1(be)-250.2(decomposed)-253.8(into)-250.2(tw)9.9(o)-250.2(orthogonal)-252(terms:)]TJ /F1 1 Tf -3.0636 -2.2557 TD (E)Tj /F7 1 Tf 0.963 1.1102 TD ()Tj /F2 1 Tf 0.6667 -1.1102 TD (|)Tj /F1 1 Tf 0.2773 0 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 177.705 289.002 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 182.214 290.4961 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F3 1 Tf 0.8031 0 TD (\))Tj /F2 1 Tf 0.6116 0 TD ()Tj /F1 1 Tf 1 0 TD (X)Tj /F2 1 Tf 0.907 0 TD (|)Tj /F8 1 Tf 6.9738 0 0 6.9738 221.94 295.5001 Tm (2)Tj /F7 1 Tf 9.9626 0 0 9.9626 226.413 301.557 Tm ()Tj /F3 1 Tf 0.944 -1.1102 TD (=)Tj /F1 1 Tf 1.0561 0 TD (E)Tj /F7 1 Tf 0.9621 1.1102 TD ()Tj /F2 1 Tf 0.6667 -1.1102 TD (|)Tj /F1 1 Tf 0.2773 0 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 270.207 289.002 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 274.716 290.4961 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F3 1 Tf 0.8031 0 TD (\))Tj /F2 1 Tf 0.6116 0 TD ()Tj /F1 1 Tf 1 0 TD (E)Tj /F3 1 Tf 0.7959 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (X)Tj /F2 1 Tf 0.907 0 TD (|)Tj /F1 1 Tf 0.2773 0 TD (Y)Tj /F3 1 Tf 0.8031 0 TD (\))Tj /F2 1 Tf 0.3885 0 TD (|)Tj /F8 1 Tf 6.9738 0 0 6.9738 340.884 295.5001 Tm (2)Tj /F7 1 Tf 9.9626 0 0 9.9626 345.357 301.557 Tm ()Tj /F3 1 Tf 0.8889 -1.1102 TD (+)Tj /F1 1 Tf 1 0 TD (E)Tj /F7 1 Tf 0.9621 1.1102 TD ()Tj /F2 1 Tf 0.6667 -1.1102 TD (|)Tj /F1 1 Tf 0.2782 0 TD (E)Tj /F3 1 Tf 0.7959 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (X)Tj /F2 1 Tf 0.907 0 TD (|)Tj /F1 1 Tf 0.2773 0 TD (Y)Tj /F3 1 Tf 0.8031 0 TD (\))Tj /F2 1 Tf 0.6116 0 TD ()Tj /F1 1 Tf 1 0 TD (X)Tj /F2 1 Tf 0.907 0 TD (|)Tj /F8 1 Tf 6.9738 0 0 6.9738 442.629 295.5001 Tm (2)Tj /F7 1 Tf 9.9626 0 0 9.9626 447.102 301.557 Tm ()Tj /F1 1 Tf 0.8329 -1.1102 TD (.)Tj /TT4 1 Tf -34.8703 -2.2214 TD [(The)-280(second)-280.9(term)-279.1(is)-279.1(the)-280(minimum)-280(possible)-279.1(MSE,)-280(obtained)-281(when)-281(using)-280(the)-280(optimal)-279.1(estimator)55.1(.)-397.5(Since)]TJ 0 -1.0994 TD [(it)-249.3(does)-251.1(not)-250.2(depend)-252.9(on)]TJ /F1 1 Tf 8.809 0 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 200.601 255.918 Tm ()Tj /TT4 1 Tf 9.9626 0 0 9.9626 205.101 257.412 Tm [(,)-250.2(i)0(t)-249.3(i)0(s)-249.3(irrele)25.3(v)25.3(ant)-251.1(for)-250.2(optimizing)]TJ /F1 1 Tf 12.2536 0 TD ()Tj /TT4 1 Tf 0.4978 0 TD [(.)-309(The)]TJ /TT7 1 Tf 2.3648 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(rst)-250.2(term)-249.3(may)-251.1(be)-251.1(e)15.4(xpanded)-253.8(as)]TJ /F1 1 Tf -22.5921 -2.2557 TD (E)Tj /F7 1 Tf 0.9621 1.1102 TD ()Tj /F2 1 Tf 0.6667 -1.1102 TD (|)Tj /F1 1 Tf 0.2782 0 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 160.038 233.4451 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 164.547 234.939 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F3 1 Tf 0.8031 0 TD (\))Tj /F2 1 Tf 0.6107 0 TD ()Tj /F1 1 Tf 1 0 TD (E)Tj /F3 1 Tf 0.7959 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (X)Tj /F2 1 Tf 0.907 0 TD (|)Tj /F1 1 Tf 0.2773 0 TD (Y)Tj /F3 1 Tf 0.804 0 TD (\))Tj /F2 1 Tf 0.3885 0 TD (|)Tj /F8 1 Tf 6.9738 0 0 6.9738 230.715 239.9521 Tm (2)Tj /F7 1 Tf 9.9626 0 0 9.9626 235.179 246 Tm ()Tj /F3 1 Tf 0.9449 -1.1102 TD (=)Tj /F1 1 Tf 1.0552 0 TD (E)Tj /F7 1 Tf 0.963 1.1102 TD ()Tj /F2 1 Tf 0.6667 -1.1102 TD (|)Tj /F1 1 Tf 0.2773 0 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 278.982 233.4451 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 283.491 234.939 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F3 1 Tf 0.8031 0 TD (\))Tj /F2 1 Tf 0.3885 0 TD (|)Tj /F8 1 Tf 6.9738 0 0 6.9738 302.004 239.9521 Tm (2)Tj /F2 1 Tf 9.9626 0 0 9.9626 308.682 234.939 Tm ()Tj /F3 1 Tf 1 0 TD (2)Tj /F1 1 Tf 0.4996 0 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 328.5 233.4451 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 333.018 234.939 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F3 1 Tf 0.8031 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (E)Tj /F3 1 Tf 0.7959 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (X)Tj /F2 1 Tf 0.907 0 TD (|)Tj /F1 1 Tf 0.2773 0 TD (Y)Tj /F3 1 Tf 0.804 0 TD (\))Tj /F7 1 Tf 0.3884 1.1102 TD ()Tj /F3 1 Tf 0.8889 -1.1102 TD (+)Tj /F1 1 Tf 1 0 TD (E)Tj /F7 1 Tf 0.963 1.1102 TD ()Tj /F2 1 Tf 0.6667 -1.1102 TD (|)Tj /F1 1 Tf 0.2773 0 TD (E)Tj /F3 1 Tf 0.7959 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (X)Tj /F2 1 Tf 0.907 0 TD (|)Tj /F1 1 Tf 0.2773 0 TD (Y)Tj /F3 1 Tf 0.804 0 TD (\))Tj /F2 1 Tf 0.3885 0 TD (|)Tj /F8 1 Tf 6.9738 0 0 6.9738 460.305 239.9521 Tm (2)Tj /F7 1 Tf 9.9626 0 0 9.9626 464.769 246 Tm ()Tj /F1 1 Tf 0.8338 -1.1102 TD (.)Tj /TT4 1 Tf -36.6445 -2.2331 TD [(Ag)5.4(ain,)-245.7(the)-243.9(second)-244.8(e)15.4(xpectation)-246.6(does)-243.9(not)-243.9(depend)-245.7(on)]TJ /F1 1 Tf 20.2375 0 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 314.406 211.197 Tm ()Tj /TT4 1 Tf 9.9626 0 0 9.9626 318.915 212.6911 Tm [(.)-307.1(Using)-243.9(the)-243(prior)19.9(-free)-243(formulation)-243.9(of)-243(the)-243.9(pre)25.3(vi-)]TJ -21.1706 -1.1003 TD [(ous)-250.2(section,)-251.1(the)-250.2(second)-252(component)-252.9(of)-250.2(the)]TJ /TT7 1 Tf 16.7253 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(rst)-249.3(e)15.4(xpectation)-253.8(may)-250.2(be)-251.1(written)-250.2(as)]TJ /F1 1 Tf -8.8467 -2.5556 TD (E)Tj /F2 1 Tf 0.963 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 211.482 174.774 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 215.991 176.2681 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F3 1 Tf 0.8031 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (E)Tj /F3 1 Tf 0.7959 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (X)Tj /F2 1 Tf 0.907 0 TD (|)Tj /F1 1 Tf 0.2773 0 TD (Y)Tj /F3 1 Tf 0.804 0 TD (\))Tj /F2 1 Tf 0.3885 0 TD (})Tj /F3 1 Tf 1.5005 0 TD (=)Tj /F1 1 Tf 1.7779 0 TD (E)Tj /F7 1 Tf 0.962 1.4102 TD ( )Tj /F1 1 Tf 0.7507 -1.4102 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 321.813 174.774 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 326.313 176.2681 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F3 1 Tf 0.804 0 TD (\))Tj /F4 1 Tf 0.5086 0.6766 TD (L)Tj /F2 1 Tf 0.692 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 361.53 181.5151 Tm (Y)Tj /F2 1 Tf 9.9626 0 0 9.9626 368.424 183.009 Tm (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F3 1 Tf 0.804 0 TD (\))Tj ET 343.26 178.766 m 389.16 178.766 l S BT /F1 1 Tf 9.9626 0 0 9.9626 351.684 169.437 Tm (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 358.083 167.9431 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 364.977 169.437 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F3 1 Tf 0.8031 0 TD (\))Tj /F7 1 Tf 1.355 2.0958 TD (\012)Tj /F3 1 Tf -10.8595 -4.1862 TD (=)Tj /F7 1 Tf 1.7778 1.3605 TD ()Tj /F1 1 Tf 1.1663 -1.3605 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 316.368 147.117 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 320.877 148.6111 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /F4 1 Tf 0.5086 0.6766 TD (L)Tj /F2 1 Tf 0.692 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 354.294 153.8581 Tm (Y)Tj /F2 1 Tf 9.9626 0 0 9.9626 361.197 155.352 Tm (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj ET 336.024 151.1 m 380.133 151.1 l S BT /F1 1 Tf 9.9626 0 0 9.9626 344.457 141.7711 Tm (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 350.856 140.277 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 357.75 141.7711 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /F1 1 Tf 1.355 0.6866 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 387.729 147.117 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 394.623 148.6111 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (d)Tj /F4 1 Tf 0.5204 0 TD (y)Tj /F3 1 Tf -13.2092 -2.6975 TD (=)Tj /F7 1 Tf 1.7778 1.3614 TD ()Tj /F1 1 Tf 1.1663 -1.3614 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 316.368 120.2431 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 320.877 121.737 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /F4 1 Tf 0.6387 0 TD (L)Tj /F2 1 Tf 0.692 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 355.59 120.2431 Tm (Y)Tj /F2 1 Tf 9.9626 0 0 9.9626 362.493 121.737 Tm (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (d)Tj /F4 1 Tf 0.5204 0 TD (y)Tj /F3 1 Tf -10.4837 -2.6225 TD (=)Tj /F7 1 Tf 1.7778 1.3614 TD ()Tj /F4 1 Tf 1.1663 -1.3614 TD (L)Tj /F6 1 Tf 6.9738 0 0 6.9738 318.384 99.732 Tm ()Tj /F2 1 Tf 9.9626 0 0 9.9626 322.965 95.6101 Tm ({)Tj /F1 1 Tf 0.4996 0 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 332.82 94.1161 Tm ()Tj /F2 1 Tf 9.9626 0 0 9.9626 337.329 95.6101 Tm (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 362.655 94.1161 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 369.558 95.6101 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (d)Tj /F4 1 Tf 0.5204 0 TD (y)Tj /F3 1 Tf -10.6933 -2.0109 TD (=)Tj /F1 1 Tf 1.7779 0 TD (E)Tj /F2 1 Tf 0.9621 0 TD ({)Tj /F4 1 Tf 0.5005 0 TD (L)Tj /F6 1 Tf 6.9738 0 0 6.9738 321.336 79.689 Tm ()Tj /F2 1 Tf 9.9626 0 0 9.9626 325.908 75.576 Tm ({)Tj /F1 1 Tf 0.4996 0 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 335.763 74.082 Tm ()Tj /F2 1 Tf 9.9626 0 0 9.9626 340.281 75.576 Tm (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F3 1 Tf 0.8031 0 TD (\))Tj /F2 1 Tf 0.3885 0 TD (})Tj /F1 1 Tf 0.6676 0 TD (,)Tj /TT4 1 Tf -6.4384 -3.0001 TD (3)Tj ET endstream endobj 24 0 obj << /ProcSet [/PDF /Text ] /Font << /F1 14 0 R /F2 15 0 R /F3 16 0 R /F4 17 0 R /F5 18 0 R /F6 19 0 R /F7 20 0 R /F8 21 0 R /TT2 4 0 R /TT4 5 0 R /TT7 7 0 R >> /ExtGState << /GS1 9 0 R >> >> endobj 26 0 obj << /Length 18178 >> stream BT /TT4 1 Tf 9.9626 0 0 9.9626 108 713.613 Tm 0 g /GS1 gs 0 Tc 0 Tw (where)Tj /F4 1 Tf 2.6624 0 TD (L)Tj /F6 1 Tf 6.9738 0 0 6.9738 141.408 717.2311 Tm ()Tj /TT4 1 Tf 9.9626 0 0 9.9626 148.158 713.613 Tm [(is)-217.7(the)-219.5(dual)-218.6(operator)-219.5(of)]TJ /F4 1 Tf 8.8689 0 TD (L)Tj /TT4 1 Tf 0.9106 0 TD [(\(in)-217.7(the)-218.6(discrete)-219.5(case,)]TJ /F4 1 Tf 8.2934 0 TD (L)Tj /F6 1 Tf 6.9738 0 0 6.9738 335.088 717.2311 Tm ()Tj /TT4 1 Tf 9.9626 0 0 9.9626 341.838 713.613 Tm [(is)-217.7(the)-219.5(matrix)-218.6(transpose)-218.6(of)]TJ /F4 1 Tf 10.202 0 TD (L)Tj /TT4 1 Tf 0.692 0 TD [(\).)-299(Combining)]TJ -34.3655 -1.0994 TD [(all)-250.2(of)-250.2(the)-250.2(abo)15.4(v)15.4(e)0(,)-252.9(w)0(e)-250.2(h)0(a)19.9(v)15.4(e:)]TJ /F3 1 Tf 5.8394 -1.7272 TD -0.0002 Tc [(arg)-180.4(min)]TJ /F5 1 Tf 6.9738 0 0 6.9738 188.136 678.9451 Tm 0 Tc ()Tj /F1 1 Tf 9.9626 0 0 9.9626 200.106 685.452 Tm (E)Tj /F7 1 Tf 0.9621 1.1103 TD ()Tj /F2 1 Tf 0.6667 -1.1103 TD (|)Tj /F1 1 Tf 0.2782 0 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 223.983 683.958 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 228.483 685.452 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F3 1 Tf 0.804 0 TD (\))Tj /F2 1 Tf 0.6107 0 TD ()Tj /F1 1 Tf 1 0 TD (X)Tj /F2 1 Tf 0.907 0 TD (|)Tj /F8 1 Tf 6.9738 0 0 6.9738 268.209 690.465 Tm (2)Tj /F7 1 Tf 9.9626 0 0 9.9626 272.682 696.5131 Tm ()Tj /F3 1 Tf 0.944 -1.1103 TD -0.0001 Tc [(=)-278.4(a)0.3(rg)-180.3(min)]TJ /F5 1 Tf 6.9738 0 0 6.9738 314.568 678.9451 Tm 0 Tc ()Tj /F1 1 Tf 9.9626 0 0 9.9626 326.538 685.452 Tm (E)Tj /F7 1 Tf 0.9621 1.1103 TD ()Tj /F2 1 Tf 0.6667 -1.1103 TD (|)Tj /F1 1 Tf 0.2782 0 TD (f)Tj /F3 1 Tf 0.5971 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F3 1 Tf 0.8031 0 TD (\))Tj /F2 1 Tf 0.3885 0 TD (|)Tj /F8 1 Tf 6.9738 0 0 6.9738 369.999 690.465 Tm (2)Tj /F2 1 Tf 9.9626 0 0 9.9626 376.677 685.452 Tm ()Tj /F3 1 Tf 1 0 TD (2)Tj /F4 1 Tf 0.4996 0 TD (L)Tj /F6 1 Tf 6.9738 0 0 6.9738 398.511 689.5651 Tm ()Tj /F2 1 Tf 9.9626 0 0 9.9626 403.092 685.452 Tm ({)Tj /F1 1 Tf 0.4996 0 TD (f)Tj /F2 1 Tf 0.5971 0 TD (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F3 1 Tf 0.8049 0 TD (\))Tj /F7 1 Tf 0.3884 1.1103 TD ()Tj /F1 1 Tf 0.8338 -1.1103 TD (.)Tj /TT4 1 Tf 4.9505 0 TD (\(5\))Tj -38.5822 -1.8718 TD [(where)-262.9(the)-262(e)15.4(xpectation)-264.7(on)-262.9(the)-262(right)-262(is)-261.1(o)15.4(v)15.4(e)0(r)-263.8(the)-262(observ)25.3(ation)-263.8(v)25.3(ariable,)]TJ /F1 1 Tf 26.9819 0 TD (Y)Tj /TT4 1 Tf 0.8022 0 TD [(.)-345.1(I)0(n)-262(practice,)-265.6(we)-262(can)-262.9(solv)15.4(e)-262.9(for)]TJ -27.7841 -1.1003 TD [(an)-251.1(optimal)]TJ /F1 1 Tf 4.5004 0 TD ()Tj /TT4 1 Tf 0.7471 0 TD [(by)-251.1(minimizing)-251.1(the)-250.2(sample)-251.1(mean)-252(of)-249.3(this)-250.2(quantity:)]TJ /F3 1 Tf 4.4222 -2.2169 TD ()Tj /F1 1 Tf -0.0822 -0.2638 TD ()Tj /F3 1 Tf 0.7751 0 TD -0.0001 Tc [(=)-277.5(a)0.3(rg)-181.3(min)]TJ /F5 1 Tf 6.9738 0 0 6.9738 243.711 624.621 Tm 0 Tc ()Tj /F3 1 Tf 9.9626 0 0 9.9626 258.93 637.869 Tm (1)Tj ET 0 G 0 J 0 j 0.405 w 10 M []0 d 1 i 256.878 633.626 m 265.977 633.626 l S BT /F1 1 Tf 9.9626 0 0 9.9626 256.878 624.2971 Tm (N)Tj /F5 1 Tf 6.9738 0 0 6.9738 272.799 643.584 Tm (N)Tj /F7 1 Tf 9.9626 0 0 9.9626 269.136 640.5961 Tm ()Tj /F5 1 Tf 6.9738 0 0 6.9738 268.821 619.491 Tm (n)Tj /F8 1 Tf 0.706 0 TD 0.0007 Tc (=1)Tj /F7 1 Tf 9.9626 0 0 9.9626 285.498 642.189 Tm 0 Tc ()Tj /F2 1 Tf 0.6667 -1.1102 TD (|)Tj /F1 1 Tf 0.2773 0 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 299.781 629.634 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 304.29 631.1281 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F5 1 Tf 6.9738 0 0 6.9738 313.947 629.634 Tm (n)Tj /F3 1 Tf 9.9626 0 0 9.9626 319.374 631.1281 Tm (\))Tj /F2 1 Tf 0.3885 0 TD (|)Tj /F8 1 Tf 6.9738 0 0 6.9738 326.016 636.1411 Tm (2)Tj /F2 1 Tf 9.9626 0 0 9.9626 332.694 631.1281 Tm ()Tj /F3 1 Tf 1 0 TD (2)Tj /F4 1 Tf 0.4996 0 TD (L)Tj /F6 1 Tf 6.9738 0 0 6.9738 354.528 635.241 Tm ()Tj /F2 1 Tf 9.9626 0 0 9.9626 359.109 631.1281 Tm ({)Tj /F1 1 Tf 0.4996 0 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 368.964 629.634 Tm ()Tj /F2 1 Tf 9.9626 0 0 9.9626 373.482 631.1281 Tm (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F5 1 Tf 6.9738 0 0 6.9738 388.116 629.634 Tm (n)Tj /F3 1 Tf 9.9626 0 0 9.9626 393.543 631.1281 Tm (\))Tj /F7 1 Tf 0.3885 1.1102 TD ()Tj /F1 1 Tf 0.8338 -1.1102 TD (.)Tj /TT4 1 Tf 8.6986 0 TD (\(6\))Tj -38.5822 -2.4536 TD (where)Tj /F2 1 Tf 2.7744 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (Y)Tj /F5 1 Tf 6.9738 0 0 6.9738 146.394 605.1901 Tm (n)Tj /F2 1 Tf 9.9626 0 0 9.9626 151.821 606.6841 Tm (})Tj /TT4 1 Tf 0.8302 0 TD [(is)-329.7(a)-330.6(set)-330.6(of)-330.6(observ)15.4(ed)-332.4(data.)-552(Ag)5.4(ain)-332.4(this)-329.7(does)-331.5(not)-330.6(require)-331.5(an)15.4(y)-331.5(kno)25.3(wledge)-334.2(of,)-350.5(or)-329.7(samples)]TJ -5.2287 -1.1003 TD [(dra)15.4(wn)-251.1(from,)-250.2(the)-250.2(prior)]TJ /F1 1 Tf 8.8449 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 202.509 594.228 Tm (X)Tj /TT4 1 Tf 9.9626 0 0 9.9626 210.078 595.722 Tm (.)Tj /TT2 1 Tf 11.9551 0 0 11.9551 108 567.489 Tm [(3)-1000.5(Example)-249.2(estimators)]TJ /TT4 1 Tf 9.9626 0 0 9.9626 108 544.4761 Tm [(In)-243.9(general,)-246.6(it)-243.9(can)-244.8(be)-244.8(dif)]TJ /TT7 1 Tf 9.2222 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(cult)-244.8(to)-244.8(obtain)-244.8(the)-244.8(operator)]TJ /F4 1 Tf 10.5542 0 TD (L)Tj /TT4 1 Tf 0.9359 0 TD [(directly)-244.8(from)-243.9(the)-244.8(de)]TJ /TT7 1 Tf 7.8971 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(nition)-245.7(in)-243.9(Eq.)-244.8(\(3\),)-244.8(because)]TJ -29.7217 -1.0994 TD [(in)39.7(v)15.4(ersion)-202.4(of)-202.4(the)-202.4(operator)]TJ /F4 1 Tf 9.8631 0 TD (A)Tj /TT4 1 Tf 1.0705 0 TD [(could)-203.3(be)-202.4(unstable)-203.3(or)-202.4(unde)]TJ /TT7 1 Tf 10.0861 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(ned.)-297.2(Instead,)-211.4(a)-202.4(solution)-202.4(may)-202.4(often)-202.4(be)-203.3(obtained)]TJ -21.5759 -1.1003 TD [(by)-251.1(noting)-251.1(that)-250.2(the)-250.2(de)]TJ /TT7 1 Tf 8.2234 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(nition)-252(implies)-250.2(that)]TJ /F4 1 Tf 7.6943 -1.4364 TD (L)Tj /F2 1 Tf 0.9142 0 TD ()Tj /F4 1 Tf 0.7218 0 TD (A)Tj /F3 1 Tf 1.1473 0 TD (=)Tj /F4 1 Tf 1.0561 0 TD (A)Tj /F2 1 Tf 1.0913 0 TD ()Tj /F4 1 Tf 0.7227 0 TD (X)Tj /F1 1 Tf 0.8691 0 TD (,)Tj /TT4 1 Tf -22.9964 -1.4355 TD [(or)39.7(,)-249.3(equi)25.3(v)25.3(alently)]TJ /F4 1 Tf 13.3519 -1.1003 TD (L)Tj /F2 1 Tf 0.692 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 259.29 481.188 Tm (Y)Tj /F6 1 Tf 0.9176 0 TD (|)Tj /F5 1 Tf 0.3394 0 TD (X)Tj /F3 1 Tf 9.9626 0 0 9.9626 275.625 482.988 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.6233 0 TD (|)Tj /F4 1 Tf 0.2773 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F2 1 Tf 0.3885 0 TD (})Tj /F3 1 Tf 0.7787 0 TD (=)Tj /F4 1 Tf 1.0561 0 TD (x)Tj /F1 1 Tf 0.6071 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 329.112 481.188 Tm (Y)Tj /F6 1 Tf 0.9163 0 TD (|)Tj /F5 1 Tf 0.3394 0 TD (X)Tj /F3 1 Tf 9.9626 0 0 9.9626 345.447 482.988 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.6233 0 TD (|)Tj /F4 1 Tf 0.2773 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (.)Tj /TT4 1 Tf -26.1184 -1.3867 TD [(This)-276.4(is)-276.4(an)-277.3(eigenfunction)-279.1(equation:)-365(for)-276.4(each)-279.1(v)25.3(alue)-278.2(of)]TJ /F4 1 Tf 21.1633 0 TD (x)Tj /TT4 1 Tf 0.6071 0 TD [(,)-282.8(the)-277.3(conditional)-278.2(density)]TJ /F1 1 Tf 9.976 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 430.605 467.373 Tm (Y)Tj /F6 1 Tf 0.9163 0 TD (|)Tj /F5 1 Tf 0.3394 0 TD (X)Tj /F3 1 Tf 9.9626 0 0 9.9626 446.94 469.173 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.6233 0 TD (|)Tj /F4 1 Tf 0.2773 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /TT4 1 Tf 0.6658 0 TD [(must)-276.4(be)]TJ -36.5831 -1.1003 TD [(an)-251.1(eigenfunction)-252.9(\(eigen)39.7(v)15.4(ector)39.7(,)-251.1(for)-250.2(discrete)-250.2(v)25.3(ariables\))-251.1(of)-250.2(eoperator)]TJ /F4 1 Tf 26.4032 0 TD (L)Tj /TT4 1 Tf 0.692 0 TD [(,)-249.3(with)-250.2(associated)-252(eigen)39.8(v)25.3(alue)]TJ /F4 1 Tf 11.4078 0 TD (x)Tj /TT4 1 Tf 0.6071 0 TD (.)Tj -39.11 -1.7002 TD [(Consider)-264.7(a)-264.7(standard)-264.7(e)15.4(xample,)-269.2(in)-264.7(which)-264.7(the)-264.7(v)25.3(ariable)-265.6(of)-263.8(interest)-263.8(is)-262.9(corrupted)-265.6(by)-264.7(independent)-267.4(additi)25.3(v)15.4(e)]TJ 0 -1.0994 TD (noise:)Tj /F1 1 Tf 2.6994 0 TD (Y)Tj /F3 1 Tf 1.0804 0 TD (=)Tj /F1 1 Tf 1.0552 0 TD (X)Tj /F3 1 Tf 1.1292 0 TD (+)Tj /F1 1 Tf 1 0 TD (W)Tj /TT4 1 Tf 1.0832 0 TD [(.)-309.9(The)-251.1(conditional)-252(density)-251.1(is)]TJ /F1 1 Tf 6.3469 -1.4364 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 257.805 414.2101 Tm (Y)Tj /F6 1 Tf 0.9163 0 TD (|)Tj /F5 1 Tf 0.3394 0 TD (X)Tj /F3 1 Tf 9.9626 0 0 9.9626 274.14 416.0101 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.6233 0 TD (|)Tj /F4 1 Tf 0.2773 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD 0.2778 Tc (\)=)Tj /F1 1 Tf 1.7228 0 TD 0 Tc (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 316.593 414.516 Tm (W)Tj /F3 1 Tf 9.9626 0 0 9.9626 325.647 416.0101 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.8456 0 TD ()Tj /F4 1 Tf 1 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (.)Tj /TT4 1 Tf -25.0759 -1.4355 TD [(W)80.4(e)-243.9(wish)-243.9(to)]TJ /TT7 1 Tf 4.7051 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(nd)-244.8(an)-243.9(operator)-244.8(which)-244.8(when)-244.8(applied)-244.8(to)-243.9(this)-243(conditional)-244.8(density)-244.8(\(vie)25.3(wed)-244.8(as)-243(a)-243.9(function)-244.8(of)]TJ /F4 1 Tf -5.2613 -1.1003 TD (y)Tj /TT4 1 Tf 0.6233 0 TD [(\))-249.3(will)-249.3(gi)25.3(v)15.4(e)]TJ /F4 1 Tf 12.4313 -1.1003 TD (L)Tj /F2 1 Tf 0.692 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 256.329 378.291 Tm (W)Tj /F3 1 Tf 9.9626 0 0 9.9626 265.392 379.7851 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.8456 0 TD ()Tj /F4 1 Tf 1 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F2 1 Tf 0.3885 0 TD (})Tj /F3 1 Tf 0.7778 0 TD (=)Tj /F4 1 Tf 1.0552 0 TD (x)Tj /F1 1 Tf 0.7733 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 329.931 378.291 Tm (W)Tj /F3 1 Tf 9.9626 0 0 9.9626 338.994 379.7851 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.8456 0 TD ()Tj /F4 1 Tf 1 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (.)Tj /TT4 1 Tf 12.1667 0 TD (\(7\))Tj -38.5823 -1.281 TD (Subtracting)Tj /F4 1 Tf 4.8624 0 TD (y)Tj /F1 1 Tf 0.7896 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 170.694 365.5291 Tm (W)Tj /F3 1 Tf 9.9626 0 0 9.9626 179.757 367.023 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.8456 0 TD ()Tj /F4 1 Tf 1 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /TT4 1 Tf 0.6387 0 TD [(from)-249.3(both)-251.1(sides)-250.2(gi)25.3(v)15.4(e)0(s)]TJ /F4 1 Tf 0.3884 -1.4364 TD (M)Tj /F2 1 Tf 1.2575 0 TD ({)Tj /F1 1 Tf 0.5005 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 242.208 351.2191 Tm (W)Tj /F3 1 Tf 9.9626 0 0 9.9626 251.271 352.713 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.8456 0 TD ()Tj /F4 1 Tf 1 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F2 1 Tf 0.3885 0 TD (})Tj /F3 1 Tf 0.7778 0 TD (=)Tj /F2 1 Tf 1.0561 0 TD ()Tj /F3 1 Tf 0.7778 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.8456 0 TD ()Tj /F4 1 Tf 1 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F1 1 Tf 0.5547 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 349.695 351.2191 Tm (W)Tj /F3 1 Tf 9.9626 0 0 9.9626 358.758 352.713 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.8456 0 TD ()Tj /F4 1 Tf 1 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (,)Tj /TT4 1 Tf 10.1828 0 TD (\(8\))Tj -38.5823 -1.4355 TD (where)Tj /F4 1 Tf 13.1468 -1.1003 TD (M)Tj /F2 1 Tf 1.2575 0 TD ({)Tj /F1 1 Tf 0.5005 0 TD (f)Tj /F2 1 Tf 0.5971 0 TD (})Tj /F3 1 Tf 0.6667 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD 0.2778 Tc (\)=)Tj /F4 1 Tf 1.7228 0 TD 0 Tc (L)Tj /F2 1 Tf 0.692 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (f)Tj /F2 1 Tf 0.5971 0 TD (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /F2 1 Tf 0.6116 0 TD ()Tj /F4 1 Tf 1 0 TD (y)Tj /F1 1 Tf 0.7896 0 TD (f)Tj /F3 1 Tf 0.5971 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /TT4 1 Tf -26.2134 -1.2819 TD [(is)-249.3(a)-250.2(linear)-251.1(shift-in)39.7(v)25.3(ariant)-249.3(operator)-251.1(\(acting)-251.1(in)]TJ /F4 1 Tf 17.6255 0 TD (y)Tj /TT4 1 Tf 0.6233 0 TD (\).)Tj -18.2488 -1.6992 TD [(T)80.4(aking)-252(F)15.4(ourier)-251.1(transforms)-249.3(and)-252(using)-250.2(the)-250.2(con)39.7(v)19.9(olution)-252.9(and)-251.1(dif)25.3(ferentiation)-251.1(properties)-250.2(gi)25.3(v)15.4(es:)]TJ /F7 1 Tf 12.8731 -1.4662 TD ( )Tj /F4 1 Tf -0.0461 -0.2557 TD (M)Tj /F3 1 Tf 1.0922 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD ()Tj /F3 1 Tf 0.6586 0 TD (\))Tj /F7 1 Tf 0.4417 0.252 TD ( )Tj /F1 1 Tf -0.0533 -0.252 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 267.372 279.1021 Tm (W)Tj /F3 1 Tf 9.9626 0 0 9.9626 276.435 280.5961 Tm (\()Tj /F1 1 Tf 0.3885 0 TD ()Tj /F3 1 Tf 0.6586 0 TD 1.0005 Tc (\)=)Tj /F2 1 Tf 3.1672 0 TD 0 Tc ()Tj /F7 1 Tf 1.5321 0.3189 TD ( )Tj /F3 1 Tf -0.7543 -0.3189 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F1 1 Tf 0.6233 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 342.648 279.1021 Tm (W)Tj /F3 1 Tf 9.9626 0 0 9.9626 351.711 280.5961 Tm -0.0004 Tc (\)\()Tj /F1 1 Tf 0.7769 0 TD 0 Tc ()Tj /F3 1 Tf 0.6586 0 TD (\))Tj -6.5549 -1.6532 TD (=)Tj /F2 1 Tf 1.7779 0 TD ()Tj /F1 1 Tf 0.7778 0 TD (i)Tj /F2 1 Tf 0.3442 0 TD ()Tj /F5 1 Tf 6.9738 0 0 6.9738 337.896 262.6321 Tm ()Tj /F7 1 Tf 9.9626 0 0 9.9626 344.205 266.6461 Tm ( )Tj /F1 1 Tf -0.0533 -0.2529 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 350.073 262.6321 Tm (W)Tj /F3 1 Tf 9.9626 0 0 9.9626 359.127 264.126 Tm (\()Tj /F1 1 Tf 0.3885 0 TD ()Tj /F3 1 Tf 0.6586 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (,)Tj /TT4 1 Tf 11.9399 0 TD (\(9\))Tj -38.5823 -1.4355 TD [(so)-250.2(that)]TJ /F7 1 Tf 13.1035 -1.8718 TD ( )Tj /F4 1 Tf -0.0461 -0.2557 TD (M)Tj /F3 1 Tf 1.0922 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD ()Tj /F3 1 Tf 0.6586 0 TD 0.9996 Tc (\)=)Tj /F2 1 Tf 3.1663 0 TD 0 Tc ()Tj /F1 1 Tf 0.7778 0 TD (i)Tj /F2 1 Tf 0.4643 0.6766 TD ()Tj /F5 1 Tf 6.9738 0 0 6.9738 311.616 233.8771 Tm ()Tj /F7 1 Tf 9.9626 0 0 9.9626 317.925 237.8911 Tm ( )Tj /F1 1 Tf -0.0533 -0.2529 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 323.793 233.8771 Tm (W)Tj /F3 1 Tf 9.9626 0 0 9.9626 332.847 235.3711 Tm (\()Tj /F1 1 Tf 0.3885 0 TD ()Tj /F3 1 Tf 0.6586 0 TD (\))Tj ET 303.318 231.128 m 347.157 231.128 l S BT /F7 1 Tf 9.9626 0 0 9.9626 310.887 222.2581 Tm ( )Tj /F1 1 Tf -0.0533 -0.2529 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 316.755 218.244 Tm (W)Tj /F3 1 Tf 9.9626 0 0 9.9626 325.818 219.7381 Tm (\()Tj /F1 1 Tf 0.3885 0 TD ()Tj /F3 1 Tf 0.6586 0 TD (\))Tj -6.3254 -1.7995 TD (=)Tj /F2 1 Tf 1.7779 0 TD ()Tj /F1 1 Tf 0.7778 0 TD (i)Tj /F2 1 Tf 0.3442 0 TD ()Tj /F5 1 Tf 6.9738 0 0 6.9738 310.419 200.3161 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 317.853 201.8101 Tm -0.0004 Tc (ln)Tj /F7 1 Tf 1 1.1093 TD 0 Tc (\015)Tj 0.6513 -0.8573 TD ( )Tj /F1 1 Tf -0.0542 -0.252 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 340.164 200.3161 Tm (W)Tj /F3 1 Tf 9.9626 0 0 9.9626 349.227 201.8101 Tm (\()Tj /F1 1 Tf 0.3885 0 TD ()Tj /F3 1 Tf 0.6586 0 TD (\))Tj /F7 1 Tf 0.3884 1.1093 TD ()Tj /F1 1 Tf 0.7643 -1.1093 TD (.)Tj /TT4 1 Tf 11.6698 0 TD (\(10\))Tj -38.0827 -1.7679 TD [(This)-250.2(gi)25.3(v)15.4(e)0(s)-251.1(u)0(s)-250.2(the)-250.2(linear)-251.1(operator)]TJ /F4 1 Tf 8.003 -1.8031 TD (L)Tj /F2 1 Tf 0.692 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (f)Tj /F2 1 Tf 0.5971 0 TD (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD 0.2787 Tc (\)=)Tj /F4 1 Tf 1.7237 0 TD 0 Tc (y)Tj /F1 1 Tf 0.7896 0 TD (f)Tj /F3 1 Tf 0.5971 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /F2 1 Tf 0.6107 0 TD 0.2223 Tc (F)Tj /F6 1 Tf 6.9738 0 0 6.9738 285.876 170.3551 Tm 0 Tc ()Tj /F8 1 Tf 0.8931 0 TD (1)Tj /F7 1 Tf 9.9626 0 0 9.9626 298.233 177.294 Tm ()Tj /F1 1 Tf 0.6667 -1.1102 TD (i)Tj /F2 1 Tf 0.3442 0 TD ()Tj /F5 1 Tf 6.9738 0 0 6.9738 316.602 164.739 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 324.036 166.2331 Tm -0.0004 Tc (ln)Tj /F7 1 Tf 1 1.1102 TD 0 Tc (\015)Tj 0.6504 -0.8573 TD ( )Tj /F1 1 Tf -0.0533 -0.2529 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 346.347 164.739 Tm (W)Tj /F3 1 Tf 9.9626 0 0 9.9626 355.41 166.2331 Tm (\()Tj /F1 1 Tf 0.3885 0 TD ()Tj /F3 1 Tf 0.6586 0 TD (\))Tj /F7 1 Tf 0.3884 1.1102 TD ()Tj 1.1184 -0.8456 TD ()Tj /F1 1 Tf -0.1879 -0.2647 TD (f)Tj /F3 1 Tf 0.5971 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD ()Tj /F3 1 Tf 0.6586 0 TD (\))Tj /F7 1 Tf 0.3884 1.1102 TD ()Tj /F3 1 Tf 0.8347 -1.1102 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (,)Tj /TT4 1 Tf 6.6154 0 TD (\(11\))Tj -38.0827 -1.8998 TD (where)Tj /F2 1 Tf 2.7952 0 TD (F)Tj /F6 1 Tf 6.9738 0 0 6.9738 143.991 150.924 Tm ()Tj /F8 1 Tf 0.8931 0 TD (1)Tj /TT4 1 Tf 9.9626 0 0 9.9626 158.184 147.3061 Tm [(denotes)-352.3(the)-352.3(in)39.7(v)15.4(erse)-351.4(F)15.4(ourier)-352.3(transform.)-1226.8(Note)-352.3(that)-351.4(throughout)-353.2(this)-350.5(discussion)]TJ /F1 1 Tf 32.0139 0 TD (X)Tj /TT4 1 Tf 1.2584 0 TD (and)Tj /F1 1 Tf -38.3095 -1.0994 TD (W)Tj /TT4 1 Tf 1.4039 0 TD [(played)-322.5(symmetric)-320.7(roles.)-520.3(Thus,)-338.8(in)-320.7(cases)-320.7(with)-320.7(kno)25.3(wn)-322.5(prior)-320.7(density)-320.7(and)-321.6(unkno)25.3(wn)-323.4(additi)25.3(v)15.4(e)-322.5(noise)]TJ -1.4039 -1.1003 TD [(density)65(,)-251.1(one)-251.1(can)-251.1(formulate)-250.2(the)-251.1(estimator)-250.2(entirely)-250.2(in)-250.2(terms)-249.3(of)-250.2(the)-251.1(prior)55.1(.)]TJ 0 -1.7002 TD [(Our)-215.9(prior)19.9(-free)-215(estimator)-215.9(methodology)-219.5(is)-215(quite)-215.9(general,)-224(and)-216.8(can)-217.7(often)-215.9(be)-216.8(applied)-217.7(to)-215.9(more)-215.9(complicated)]TJ 0 -1.0994 TD [(observ)25.3(ation)-284.6(processes.)-409.2(In)-282.8(order)-283.7(to)-282.8(gi)25.3(v)15.4(e)-284.6(some)-283.7(sense)-283.7(of)-282.8(the)-283.7(di)25.3(v)15.4(ersity)-283.7(of)-282.8(forms)-282.8(that)-282.8(can)-284.6(arise,)-290(T)80.4(able)-285.5(1)]TJ 0 -1.1003 TD [(pro)15.4(vides)-280(additional)-280(e)15.4(xamples.)-397.5(References)-280(for)-278.2(the)-279.1(speci)]TJ /TT7 1 Tf 22.1173 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(c)-280(cases)-279.1(that)-279.1(we)-279.1(ha)19.9(v)15.4(e)-280(found)-280(in)-279.1(the)-279.1(statistics)]TJ -22.6735 -1.1003 TD [(literature)-250.2(are)-250.2(pro)15.4(vided)-252(in)-250.2(table.)]TJ 19.624 -3.0001 TD (4)Tj ET endstream endobj 27 0 obj << /ProcSet [/PDF /Text ] /Font << /F1 14 0 R /F2 15 0 R /F3 16 0 R /F4 17 0 R /F5 18 0 R /F6 19 0 R /F7 20 0 R /F8 21 0 R /TT2 4 0 R /TT4 5 0 R /TT7 7 0 R >> /ExtGState << /GS1 9 0 R >> >> endobj 29 0 obj << /Length 29589 >> stream 0 G 0 J 0 j 0.405 w 10 M []0 d /GS1 gs 1 i 108 722.582 m 506.439 722.582 l 108.004 706.188 m 108.004 722.586 l S BT /TT2 1 Tf 9.9626 0 0 9.9626 113.976 712.416 Tm 0 g 0 Tc 0 Tw [(Obs.)-309.9(pr)18.1(ocess)]TJ ET 200.74 706.188 m 200.74 722.586 l S BT 9.9626 0 0 9.9626 213.8116 712.416 Tm [(Obs.)-309.9(density:)]TJ /F1 1 Tf 5.9829 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 279.792 710.6161 Tm (Y)Tj /F6 1 Tf 0.9163 0 TD (|)Tj /F5 1 Tf 0.3394 0 TD (X)Tj /F3 1 Tf 9.9626 0 0 9.9626 296.127 712.416 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.6233 0 TD (|)Tj /F4 1 Tf 0.2773 0 TD (x)Tj /F3 1 Tf 0.6071 0 TD (\))Tj ET 331.952 706.188 m 331.952 722.586 l S BT /TT2 1 Tf 9.9626 0 0 9.9626 351.9813 712.416 Tm (Numerator:)Tj /F1 1 Tf 5.4215 0 TD (N)Tj /F3 1 Tf 0.9124 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD 0.2778 Tc (\)=)Tj /F4 1 Tf 1.7218 0 TD 0 Tc (L)Tj /F2 1 Tf 0.692 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 460.566 710.9221 Tm (Y)Tj /F2 1 Tf 9.9626 0 0 9.9626 467.469 712.416 Tm (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj ET 506.435 706.188 m 506.435 722.586 l 108 706.193 m 506.439 706.193 l 108.004 689.907 m 108.004 706.188 l S BT /TT4 1 Tf 9.9626 0 0 9.9626 113.976 695.3881 Tm (Discrete)Tj ET 200.74 689.907 m 200.74 706.188 l S BT /F4 1 Tf 9.9626 0 0 9.9626 262.007 695.3881 Tm (A)Tj ET 331.952 689.907 m 331.952 706.188 l S BT /F3 1 Tf 9.9626 0 0 9.9626 373.7601 695.3881 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (A)Tj /F2 1 Tf 1.0913 0 TD ()Tj /F1 1 Tf 0.7227 0 TD (X)Tj /F2 1 Tf 1.1292 0 TD ()Tj /F4 1 Tf 0.7218 0 TD (A)Tj /F6 1 Tf 6.9738 0 0 6.9738 422.802 699.006 Tm ()Tj /F8 1 Tf 0.8931 0 TD (1)Tj /F3 1 Tf 9.9626 0 0 9.9626 433.503 695.3881 Tm (\))Tj /F1 1 Tf 0.3885 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 443.772 693.894 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 450.675 695.3881 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj ET 506.435 689.907 m 506.435 706.188 l 108 689.911 m 506.439 689.911 l 108.004 666.597 m 108.004 689.916 l S BT /TT4 1 Tf 9.9626 0 0 9.9626 113.976 675.759 Tm [(Gen.)-310.8(add.)]TJ ET 200.74 666.597 m 200.74 689.916 l S BT /F1 1 Tf 9.9626 0 0 9.9626 243.1978 675.759 Tm (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 249.579 674.265 Tm (W)Tj /F3 1 Tf 9.9626 0 0 9.9626 258.642 675.759 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.7489 0 TD ()Tj /F1 1 Tf 1 0 TD (x)Tj /F3 1 Tf 0.5718 0 TD (\))Tj ET 331.952 666.597 m 331.952 689.916 l S BT /F4 1 Tf 9.9626 0 0 9.9626 336.9333 675.759 Tm (y)Tj /F1 1 Tf 0.6233 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 349.542 674.265 Tm (Y)Tj /F2 1 Tf 9.9626 0 0 9.9626 358.641 675.759 Tm 0.2223 Tc (F)Tj /F6 1 Tf 6.9738 0 0 6.9738 376.758 679.3771 Tm 0 Tc ()Tj /F8 1 Tf 0.8931 0 TD (1)Tj /F7 1 Tf 9.9626 0 0 9.9626 389.115 686.8201 Tm ()Tj /F1 1 Tf 0.6667 -1.1103 TD (i)Tj /F2 1 Tf 0.3442 0 TD ()Tj /F5 1 Tf 6.9738 0 0 6.9738 407.484 674.265 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 414.918 675.759 Tm -0.0004 Tc (ln)Tj /F7 1 Tf 1 1.1103 TD 0 Tc (\015)Tj 0.6504 -0.8573 TD ( )Tj /F1 1 Tf -0.0533 -0.253 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 437.229 674.265 Tm (W)Tj /F3 1 Tf 9.9626 0 0 9.9626 446.292 675.759 Tm (\()Tj /F1 1 Tf 0.3885 0 TD ()Tj /F3 1 Tf 0.6586 0 TD (\))Tj /F7 1 Tf 0.3884 1.1103 TD ()Tj 0.9314 -0.8573 TD ( )Tj /F1 1 Tf -0.1671 -0.253 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 474.606 674.265 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 481.5 675.759 Tm (\()Tj /F1 1 Tf 0.3885 0 TD ()Tj /F3 1 Tf 0.6586 0 TD (\))Tj /F7 1 Tf 0.3884 1.1103 TD ()Tj ET 506.435 666.597 m 506.435 689.916 l 108 666.602 m 506.439 666.602 l 108.004 634.413 m 108.004 666.597 l S BT /TT4 1 Tf 9.9626 0 0 9.9626 113.976 650.8561 Tm [(Add.)-2471.6(Gaussian)]TJ 0 -1.1003 TD ([6]/[4]*)Tj ET 200.74 634.413 m 200.74 666.597 l S BT /F8 1 Tf 6.9738 0 0 6.9738 206.91 657.183 Tm 0.0003 Tc (exp)Tj /F2 1 Tf 9.9626 0 0 9.9626 219.042 656.436 Tm 0 Tc ({)Tj /F9 1 Tf 4.9813 0 0 4.9813 225.216 660.261 Tm ()Tj /F10 1 Tf 1.0839 0 TD (1)Tj ET 0.342 w 225.216 658.92 m 234.009 658.92 l S BT 4.9813 0 0 4.9813 230.409 654.78 Tm (2)Tj /F8 1 Tf 6.9738 0 0 6.9738 235.197 657.183 Tm (\()Tj /F11 1 Tf 0.4466 0 TD (y)Tj /F6 1 Tf 0.7008 0 TD ()Tj /F11 1 Tf 0.8931 0 TD (x)Tj /F6 1 Tf 0.6828 0 TD ()Tj /F5 1 Tf 0.8931 0 TD ()Tj /F8 1 Tf 0.6944 0 TD (\))Tj /F12 1 Tf 4.9813 0 0 4.9813 268.371 660.189 Tm (T)Tj /F8 1 Tf 6.9738 0 0 6.9738 273.879 657.183 Tm ()Tj /F9 1 Tf 4.9813 0 0 4.9813 279.333 660.189 Tm ()Tj /F10 1 Tf 1.0839 0 TD (1)Tj /F8 1 Tf 6.9738 0 0 6.9738 288.621 657.183 Tm (\()Tj /F11 1 Tf 0.4466 0 TD (y)Tj /F6 1 Tf 0.7008 0 TD ()Tj /F11 1 Tf 0.8931 0 TD (x)Tj /F6 1 Tf 0.6828 0 TD ()Tj /F5 1 Tf 0.8931 0 TD ()Tj /F8 1 Tf 0.6931 0 TD (\))Tj /F2 1 Tf 9.9626 0 0 9.9626 321.786 656.436 Tm (})Tj ET 0.405 w 206.91 653.354 m 326.772 653.354 l S BT 9.9626 0 0 9.9626 253.161 651.954 Tm ()Tj ET 261.459 652.156 m 280.53 652.156 l S BT /F6 1 Tf 6.9738 0 0 6.9738 261.4591 645.213 Tm (|)Tj /F8 1 Tf 0.3394 0 TD (2)Tj /F5 1 Tf 0.5692 0 TD ()Tj /F8 1 Tf 0.7047 0 TD ()Tj /F6 1 Tf 0.7821 0 TD (|)Tj ET 331.952 634.413 m 331.952 666.597 l S BT /F3 1 Tf 9.9626 0 0 9.9626 359.487 650.8561 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.8456 0 TD ()Tj /F1 1 Tf 1 0 TD ()Tj /F3 1 Tf 0.6026 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 398.016 649.3621 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 404.91 650.8561 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD 0.2225 Tc (\)+)Tj /F2 1 Tf 2.3063 0 TD 0 Tc ()Tj /F11 1 Tf 6.9738 0 0 6.9738 446.265 649.3621 Tm (y)Tj /F1 1 Tf 9.9626 0 0 9.9626 451.647 650.8561 Tm (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 458.046 649.3621 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 464.94 650.8561 Tm (\()Tj /F4 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.6233 0 TD (\))Tj ET 506.435 634.413 m 506.435 666.597 l 108 634.418 m 506.439 634.418 l 108.004 615.216 m 108.004 634.422 l S BT /TT4 1 Tf 9.9626 0 0 9.9626 113.976 621.3361 Tm [(Add.)-310.8(Poisson)]TJ ET 200.74 615.216 m 200.74 634.422 l S BT /F7 1 Tf 9.9626 0 0 9.9626 218.583 628.8151 Tm ()Tj /F5 1 Tf 6.9738 0 0 6.9738 231.957 625.26 Tm ()Tj /F12 1 Tf 4.9813 0 0 4.9813 236.682 628.2661 Tm (k)Tj /F5 1 Tf 6.9738 0 0 6.9738 241.038 625.26 Tm (e)Tj /F9 1 Tf 4.9813 0 0 4.9813 244.818 628.2661 Tm ()Tj /F12 1 Tf 1.0839 0 TD ()Tj ET 231.957 623.834 m 254.898 623.834 l S BT /F5 1 Tf 6.9738 0 0 6.9738 240.093 617.907 Tm (k)Tj /F8 1 Tf 0.6324 0 TD (!)Tj /F1 1 Tf 9.9626 0 0 9.9626 256.095 621.3361 Tm ()Tj /F3 1 Tf 0.4824 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.748 0 TD ()Tj /F1 1 Tf 1 0 TD (x)Tj /F2 1 Tf 0.7941 0 TD ()Tj /F1 1 Tf 1 0 TD 0.0314 Tc (ks)Tj /F3 1 Tf 1.0208 0 TD 0 Tc (\))Tj ET 331.952 615.216 m 331.952 634.422 l S BT /F1 1 Tf 9.9626 0 0 9.9626 370.5396 621.3361 Tm 0.0364 Tc (yP)Tj /F5 1 Tf 6.9738 0 0 6.9738 382.185 619.842 Tm 0 Tc (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 389.07 621.3361 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD (\))Tj /F2 1 Tf 0.6107 0 TD ()Tj /F1 1 Tf 1 0 TD 0.0002 Tc (sP)Tj /F5 1 Tf 6.9738 0 0 6.9738 431.118 619.842 Tm 0 Tc (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 438.012 621.3361 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.7489 0 TD ()Tj /F1 1 Tf 1 0 TD (s)Tj /F3 1 Tf 0.4689 0 TD (\))Tj ET 506.435 615.216 m 506.435 634.422 l 108 615.221 m 506.439 615.221 l 108.004 597.549 m 108.004 615.216 l S BT /TT4 1 Tf 9.9626 0 0 9.9626 113.976 603.678 Tm [(Add.)-310.8(Laplacian)]TJ ET 200.74 597.549 m 200.74 615.216 l S BT /F8 1 Tf 6.9738 0 0 6.9738 241.047 607.6021 Tm (1)Tj ET 238.455 606.176 m 247.608 606.176 l S BT 6.9738 0 0 6.9738 238.455 600.2401 Tm (2)Tj /F5 1 Tf 0.5692 0 TD ()Tj /F1 1 Tf 9.9626 0 0 9.9626 248.805 603.678 Tm (e)Tj /F6 1 Tf 6.9738 0 0 6.9738 253.44 607.296 Tm 0.0003 Tc (|)Tj /F8 1 Tf 1.2326 0 TD 0 Tc (\()Tj /F5 1 Tf 0.4466 0 TD (y)Tj /F6 1 Tf 0.6156 0 TD ()Tj /F5 1 Tf 0.8931 0 TD (x)Tj /F8 1 Tf 0.6479 0 TD (\))Tj /F5 1 Tf 0.4466 0 TD 0.0006 Tc (/)Tj /F6 1 Tf 1.3281 0 TD 0 Tc (|)Tj ET 331.952 597.549 m 331.952 615.216 l S BT /F1 1 Tf 9.9626 0 0 9.9626 358.857 603.678 Tm 0.0364 Tc (yP)Tj /F5 1 Tf 6.9738 0 0 6.9738 370.503 602.1841 Tm 0 Tc (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 377.388 603.678 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD 0.2221 Tc (\)+2)Tj /F1 1 Tf 2.1103 0 TD 0 Tc ()Tj /F8 1 Tf 6.9738 0 0 6.9738 413.937 607.296 Tm (2)Tj /F2 1 Tf 9.9626 0 0 9.9626 418.419 603.678 Tm ({)Tj /F1 1 Tf 0.4996 0 TD (P)Tj /F6 1 Tf 6.9738 0 0 6.9738 431.181 607.296 Tm ()Tj /F5 1 Tf -0.1987 -0.9124 TD (W)Tj /F1 1 Tf 9.9626 0 0 9.9626 441.072 603.678 Tm 0.2218 Tc (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 454.662 602.1841 Tm 0 Tc (Y)Tj /F2 1 Tf 9.9626 0 0 9.9626 461.556 603.678 Tm (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD (\))Tj ET 506.435 597.549 m 506.435 615.216 l 108 597.554 m 506.439 597.554 l 108.004 578.577 m 108.004 597.558 l S BT /TT4 1 Tf 9.9626 0 0 9.9626 113.976 586.4431 Tm [(Add.)-310.8(Cauch)5.4(y)]TJ ET 200.74 578.577 m 200.74 597.558 l S BT /F8 1 Tf 6.9738 0 0 6.9738 235.962 590.3671 Tm (1)Tj ET 235.494 588.941 m 240.408 588.941 l S BT /F5 1 Tf 6.9738 0 0 6.9738 235.494 583.014 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 241.605 586.4431 Tm (\()Tj /F5 1 Tf 6.9738 0 0 6.9738 267.408 590.3671 Tm ()Tj ET 246.672 588.941 m 293.319 588.941 l S BT /F8 1 Tf 6.9738 0 0 6.9738 246.672 583.014 Tm (\()Tj /F5 1 Tf 0.4466 0 TD ()Tj /F8 1 Tf 0.7421 0 TD (\()Tj /F5 1 Tf 0.4466 0 TD (y)Tj /F6 1 Tf 0.6156 0 TD ()Tj /F5 1 Tf 0.8931 0 TD (x)Tj /F8 1 Tf 0.6479 0 TD 0.0001 Tc (\)\))Tj /F10 1 Tf 4.9813 0 0 4.9813 279.342 585.0031 Tm 0 Tc (2)Tj /F8 1 Tf 6.9738 0 0 6.9738 283.23 583.014 Tm 0.0007 Tc (+1)Tj /F3 1 Tf 9.9626 0 0 9.9626 294.507 586.4431 Tm 0 Tc (\))Tj ET 331.952 578.577 m 331.952 597.558 l S BT /F1 1 Tf 9.9626 0 0 9.9626 364.14 586.4431 Tm 0.0364 Tc (yP)Tj /F5 1 Tf 6.9738 0 0 6.9738 375.786 584.949 Tm 0 Tc (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 382.68 586.4431 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD (\))Tj /F2 1 Tf 0.6107 0 TD 0.2223 Tc ({)Tj /F8 1 Tf 6.9738 0 0 6.9738 421.209 590.3671 Tm 0 Tc (1)Tj ET 414.018 588.941 m 432.369 588.941 l S BT 6.9738 0 0 6.9738 414.018 583.014 Tm (2)Tj /F5 1 Tf 0.5692 0 TD 0.0366 Tc [()37.2(y)]TJ /F1 1 Tf 9.9626 0 0 9.9626 435.78 586.4431 Tm 0.2227 Tc (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 449.379 584.949 Tm 0 Tc (Y)Tj /F2 1 Tf 9.9626 0 0 9.9626 456.273 586.4431 Tm (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD (\))Tj ET 506.435 578.577 m 506.435 597.558 l 108 578.582 m 506.439 578.582 l 108.004 549.282 m 108.004 578.577 l S BT /TT4 1 Tf 9.9626 0 0 9.9626 113.976 561.441 Tm [(Add.)-310.8(uniform)]TJ ET 200.74 549.282 m 200.74 578.577 l S BT /F7 1 Tf 9.9626 0 0 9.9626 221.724 575.4901 Tm ( )Tj /F8 1 Tf 6.9738 0 0 6.9738 237.537 570.9901 Tm (1)Tj ET 235.368 569.564 m 243.666 569.564 l S BT 6.9738 0 0 6.9738 235.368 563.637 Tm (2)Tj /F5 1 Tf 0.5692 0 TD (a)Tj /F1 1 Tf 9.9626 0 0 9.9626 244.863 567.066 Tm (,)Tj /F2 1 Tf 1.2774 0 TD (|)Tj /F1 1 Tf 0.2773 0 TD (y)Tj /F2 1 Tf 0.7489 0 TD ()Tj /F1 1 Tf 1 0 TD (x)Tj /F2 1 Tf 0.5718 0 TD 0.2778 Tc (|)Tj /F1 1 Tf 1.6107 0 TD 0 Tc (a)Tj /F3 1 Tf -6.5585 -1.1943 TD (0)Tj /F1 1 Tf 0.4996 0 TD (,)Tj /F2 1 Tf 1.8501 0 TD (|)Tj /F1 1 Tf 0.2773 0 TD (y)Tj /F2 1 Tf 0.7489 0 TD ()Tj /F1 1 Tf 1 0 TD (x)Tj /F2 1 Tf 0.5718 0 TD (|)Tj /F1 1 Tf 0.5556 0 TD 0.2774 Tc (>a)Tj ET 331.952 549.282 m 331.952 578.577 l S BT 9.9626 0 0 9.9626 349.632 568.011 Tm 0.0364 Tc (yP)Tj /F5 1 Tf 6.9738 0 0 6.9738 361.278 566.517 Tm 0 Tc (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 368.172 568.011 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD 0.2218 Tc (\)+)Tj /F1 1 Tf 1.6107 0 TD 0 Tc (a)Tj /F7 1 Tf 0.6947 0.7507 TD ()Tj /TT4 1 Tf 1.2223 -0.7507 TD (sgn)Tj /F3 1 Tf 1.3901 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (k)Tj /F3 1 Tf 0.552 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 445.914 566.517 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 452.817 568.011 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.7489 0 TD ()Tj /F1 1 Tf 1 0 TD -0.0001 Tc (ak)Tj /F3 1 Tf 1.0805 0 TD 0 Tc (\))Tj /F2 1 Tf -12.2688 -1.2241 TD ()Tj /F8 1 Tf 6.9738 0 0 6.9738 371.592 559.731 Tm (1)Tj ET 371.592 558.305 m 375.57 558.305 l S BT 6.9738 0 0 6.9738 371.592 552.3781 Tm (2)Tj /F7 1 Tf 9.9626 0 0 9.9626 378.414 563.8351 Tm ()Tj /F1 1 Tf 0.8338 -0.8049 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 393.12 554.322 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 400.014 555.816 Tm 0.0682 Tc (\()Tj /F1 1 Tf 0.3885 0 TD 0 Tc (y)Tj /F3 1 Tf 0.5267 0 TD (\))Tj /TT4 1 Tf 0.3885 0 TD (sgn)Tj /F3 1 Tf 1.3901 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.748 0 TD ()Tj /F3 1 Tf 1.0687 0 TD ()Tj /F1 1 Tf -0.0687 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (d)Tj /F3 1 Tf 0.589 0 TD ()Tj /F1 1 Tf -0.0687 0 TD (y)Tj ET 506.435 549.282 m 506.435 578.577 l 108 549.287 m 506.439 549.287 l 108.004 499.557 m 108.004 549.282 l S BT /TT4 1 Tf 9.9626 0 0 9.9626 113.976 520.8331 Tm [(Add.)-874.5(random)-439(#)-438.1(o)0(f)]TJ 0 -1.0994 TD (components)Tj ET 200.74 499.557 m 200.74 549.282 l S BT /F1 1 Tf 9.9626 0 0 9.9626 222.219 539.121 Tm (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 228.618 537.6271 Tm (W)Tj /F3 1 Tf 9.9626 0 0 9.9626 237.681 539.121 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F2 1 Tf 0.7489 0 TD ()Tj /F1 1 Tf 1 0 TD (x)Tj /F3 1 Tf 0.5718 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (,)Tj /TT4 1 Tf 0.4436 0 TD (where:)Tj /F1 1 Tf -3.0932 -1.3605 TD (W)Tj /F2 1 Tf 1.3614 0 TD ()Tj /F7 1 Tf 1.0551 0.7498 TD ()Tj /F5 1 Tf 6.9738 0 0 6.9738 276.741 530.571 Tm (K)Tj 0 -1.146 TD (k)Tj /F8 1 Tf 0.6324 0 TD 0.0007 Tc (=0)Tj /F1 1 Tf 9.9626 0 0 9.9626 293.391 525.567 Tm 0 Tc (W)Tj /F5 1 Tf 6.9738 0 0 6.9738 302.796 524.0731 Tm (k)Tj /F1 1 Tf 9.9626 0 0 9.9626 307.701 525.567 Tm (,)Tj -6.5802 -1.15 TD (W)Tj /F5 1 Tf 6.9738 0 0 6.9738 251.55 512.616 Tm (k)Tj /TT4 1 Tf 9.9626 0 0 9.9626 258.948 514.11 Tm (i.i.d.)Tj /F3 1 Tf 2.055 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 289.701 512.616 Tm (c)Tj /F3 1 Tf 9.9626 0 0 9.9626 293.76 514.11 Tm (\))Tj /F1 1 Tf 0.3885 0 TD (,)Tj -5.5693 -1.1301 TD (K)Tj /F2 1 Tf 1.1988 0 TD ()Tj /TT4 1 Tf 1.0551 0 TD (Poiss)Tj /F3 1 Tf 2.1123 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD ()Tj /F3 1 Tf 0.5836 0 TD (\))Tj ET 331.952 499.557 m 331.952 549.282 l S BT /F1 1 Tf 9.9626 0 0 9.9626 359.883 520.8331 Tm 0.0364 Tc (yP)Tj /F5 1 Tf 6.9738 0 0 6.9738 371.529 519.3391 Tm 0 Tc (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 378.423 520.8331 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD (\))Tj /F2 1 Tf 0.6107 0 TD ()Tj /F1 1 Tf 1 0 TD ()Tj /F2 1 Tf 0.5836 0 TD ({)Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD 0.0364 Tc (yP)Tj /F5 1 Tf 6.9738 0 0 6.9738 429.894 519.3391 Tm 0 Tc (c)Tj /F3 1 Tf 9.9626 0 0 9.9626 433.953 520.8331 Tm (\))Tj /F1 1 Tf 0.6107 0 TD 0.2227 Tc (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 453.636 519.3391 Tm 0 Tc (Y)Tj /F2 1 Tf 9.9626 0 0 9.9626 460.53 520.8331 Tm (})Tj /F3 1 Tf 0.4996 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD (\))Tj ET 506.435 499.557 m 506.435 549.282 l 108 499.562 m 506.439 499.562 l 108.004 478.938 m 108.004 499.566 l S BT /TT4 1 Tf 9.9626 0 0 9.9626 113.976 486.813 Tm -0.0001 Tc [(Disc.)-310(e)15.3(xp.)-311.8([2]/[5]*)]TJ ET 200.74 478.938 m 200.74 499.566 l S BT /F1 1 Tf 9.9626 0 0 9.9626 241.7789 486.813 Tm 0 Tc (h)Tj /F3 1 Tf 0.5764 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (x)Tj /F3 1 Tf 0.5718 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (g)Tj /F3 1 Tf 0.5131 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (n)Tj /F3 1 Tf 0.5998 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (x)Tj /F5 1 Tf 6.9738 0 0 6.9738 285.48 490.4221 Tm (n)Tj ET 331.952 478.938 m 331.952 499.566 l S BT 6.9738 0 0 6.9738 389.457 491.6371 Tm (g)Tj /F8 1 Tf 0.5937 0 TD (\()Tj /F5 1 Tf 0.4466 0 TD (n)Tj /F8 1 Tf 0.706 0 TD (\))Tj ET 384.417 489.302 m 409.797 489.302 l S BT /F5 1 Tf 6.9738 0 0 6.9738 384.417 483.3751 Tm (g)Tj /F8 1 Tf 0.5937 0 TD (\()Tj /F5 1 Tf 0.4466 0 TD (n)Tj /F8 1 Tf 0.706 0 TD 0.0002 Tc (+1\))Tj /F1 1 Tf 9.9626 0 0 9.9626 410.985 486.813 Tm 0 Tc (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 417.384 485.319 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 424.278 486.813 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (n)Tj /F3 1 Tf 0.823 0 TD 0.2223 Tc [(+1)222.7(\))]TJ ET 506.435 478.938 m 506.435 499.566 l 108 478.943 m 506.439 478.943 l 108.004 458.319 m 108.004 478.947 l S BT /TT4 1 Tf 9.9626 0 0 9.9626 113.976 466.1851 Tm 0 Tc [(Disc.)-309.9(in)39.7(v)65(.)-309.9(e)15.4(xp.)-311.7([5]*)]TJ ET 200.74 458.319 m 200.74 478.947 l S BT /F1 1 Tf 9.9626 0 0 9.9626 238.6736 466.1851 Tm (h)Tj /F3 1 Tf 0.5764 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (x)Tj /F3 1 Tf 0.5718 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (g)Tj /F3 1 Tf 0.5131 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (n)Tj /F3 1 Tf 0.5999 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (x)Tj /F6 1 Tf 6.9738 0 0 6.9738 282.366 469.803 Tm ()Tj /F5 1 Tf 0.8931 0 TD (n)Tj ET 331.952 458.319 m 331.952 478.947 l S BT 6.9738 0 0 6.9738 389.457 471.0181 Tm (g)Tj /F8 1 Tf 0.5937 0 TD (\()Tj /F5 1 Tf 0.4466 0 TD (n)Tj /F8 1 Tf 0.706 0 TD (\))Tj ET 384.363 468.683 m 409.851 468.683 l S BT /F5 1 Tf 6.9738 0 0 6.9738 384.363 462.756 Tm (g)Tj /F8 1 Tf 0.5937 0 TD (\()Tj /F5 1 Tf 0.4466 0 TD (n)Tj /F6 1 Tf 0.706 0 TD ()Tj /F8 1 Tf 0.8931 0 TD -0.0003 Tc (1\))Tj /F1 1 Tf 9.9626 0 0 9.9626 411.039 466.1851 Tm 0 Tc (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 417.438 464.691 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 424.332 466.1851 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (n)Tj /F2 1 Tf 0.823 0 TD ()Tj /F3 1 Tf 1 0 TD -0.0004 Tc (1\))Tj ET 506.435 458.319 m 506.435 478.947 l 108 458.324 m 506.439 458.324 l 108.004 437.7 m 108.004 458.328 l S BT /TT4 1 Tf 9.9626 0 0 9.9626 113.976 445.566 Tm 0 Tc [(Cnt.)-310.8(e)15.4(xp.)-310.8([2]/[3]*)]TJ ET 200.74 437.7 m 200.74 458.328 l S BT /F1 1 Tf 9.9626 0 0 9.9626 234.7346 445.566 Tm (h)Tj /F3 1 Tf 0.5764 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (x)Tj /F3 1 Tf 0.5718 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (g)Tj /F3 1 Tf 0.5131 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (e)Tj /F5 1 Tf 6.9738 0 0 6.9738 276.642 449.1841 Tm (T)Tj /F8 1 Tf 0.8286 0 TD (\()Tj /F5 1 Tf 0.4466 0 TD (y)Tj /F8 1 Tf 0.6156 0 TD (\))Tj /F5 1 Tf 0.4466 0 TD (x)Tj ET 331.952 437.7 m 331.952 458.328 l S BT 6.9738 0 0 6.9738 388.242 450.399 Tm (g)Tj /F8 1 Tf 0.5937 0 TD (\()Tj /F5 1 Tf 0.4466 0 TD (y)Tj /F8 1 Tf 0.6156 0 TD (\))Tj ET 386.073 448.064 m 405.072 448.064 l S BT /F5 1 Tf 6.9738 0 0 6.9738 386.073 442.1281 Tm (T)Tj /F9 1 Tf 4.9813 0 0 4.9813 391.851 444.126 Tm ()Tj /F8 1 Tf 6.9738 0 0 6.9738 394.542 442.1281 Tm (\()Tj /F5 1 Tf 0.4466 0 TD (y)Tj /F8 1 Tf 0.6156 0 TD (\))Tj /F5 1 Tf 1.0969 1.0557 TD (d)Tj ET 407.457 448.064 m 415.899 448.064 l S BT 6.9738 0 0 6.9738 407.457 442.1281 Tm 0.0003 Tc (dy)Tj /F2 1 Tf 9.9626 0 0 9.9626 417.087 445.566 Tm 0 Tc ({)Tj /F5 1 Tf 6.9738 0 0 6.9738 423.261 450.399 Tm (P)Tj /F12 1 Tf 4.9813 0 0 4.9813 428.337 449.4001 Tm (Y)Tj /F8 1 Tf 6.9738 0 0 6.9738 434.322 450.399 Tm (\()Tj /F5 1 Tf 0.4466 0 TD (y)Tj /F8 1 Tf 0.6156 0 TD (\))Tj ET 423.261 448.064 m 444.843 448.064 l S BT /F5 1 Tf 6.9738 0 0 6.9738 426.726 442.1281 Tm (g)Tj /F8 1 Tf 0.5937 0 TD (\()Tj /F5 1 Tf 0.4466 0 TD (y)Tj /F8 1 Tf 0.6156 0 TD (\))Tj /F2 1 Tf 9.9626 0 0 9.9626 446.04 445.566 Tm (})Tj ET 506.435 437.7 m 506.435 458.328 l 108 437.705 m 506.439 437.705 l 108.004 416.532 m 108.004 437.7 l S BT /TT4 1 Tf 9.9626 0 0 9.9626 113.976 424.398 Tm [(Cnt.)-310.8(in)39.7(v)65(.)-309.9(e)15.4(xp.)-311.7([3]*)]TJ ET 200.74 416.532 m 200.74 437.7 l S BT /F1 1 Tf 9.9626 0 0 9.9626 232.7003 424.398 Tm (h)Tj /F3 1 Tf 0.5764 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (x)Tj /F3 1 Tf 0.5718 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (g)Tj /F3 1 Tf 0.5131 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (e)Tj /F5 1 Tf 6.9738 0 0 6.9738 274.599 428.016 Tm (T)Tj /F8 1 Tf 0.8286 0 TD (\()Tj /F5 1 Tf 0.4466 0 TD (y)Tj /F8 1 Tf 0.6156 0 TD (\))Tj /F5 1 Tf 0.4466 0 TD 0.0006 Tc (/x)Tj ET 331.952 416.532 m 331.952 437.7 l S BT /F1 1 Tf 9.9626 0 0 9.9626 369.747 424.398 Tm 0 Tc (g)Tj /F3 1 Tf 0.5131 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD (\))Tj /F7 1 Tf 0.5547 0.8058 TD ()Tj /F5 1 Tf 6.9738 0 0 6.9738 396.153 429.9691 Tm (y)Tj /F6 1 Tf -0.2775 -1.306 TD 0.0003 Tc ()Tj /F5 1 Tf 2.5127 1.2002 TD 0 Tc (T)Tj /F9 1 Tf 4.9813 0 0 4.9813 417.519 432.237 Tm ()Tj /F8 1 Tf 6.9738 0 0 6.9738 420.21 429.231 Tm 0.084 Tc (\()Tj /F5 1 Tf 0.4466 0 TD 0 Tc (y)Tj /F8 1 Tf 0.6156 0 TD (\))Tj ET 411.741 426.896 m 430.74 426.896 l S BT /F5 1 Tf 6.9738 0 0 6.9738 413.91 420.9691 Tm (g)Tj /F8 1 Tf 0.5937 0 TD 0.084 Tc (\()Tj /F5 1 Tf 0.4466 0 TD 0 Tc (y)Tj /F8 1 Tf 0.6143 0 TD (\))Tj /F1 1 Tf 9.9626 0 0 9.9626 431.919 424.398 Tm (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 438.318 422.9041 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 445.212 424.398 Tm 0.0682 Tc (\()Tj /F1 1 Tf 0.3885 0 TD 0 Tc (y)Tj /F3 1 Tf 0.5267 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (d)Tj /F3 1 Tf 0.589 0 TD ()Tj /F1 1 Tf -0.0687 0 TD (y)Tj ET 506.435 416.532 m 506.435 437.7 l 108 416.537 m 506.439 416.537 l 108.004 397.47 m 108.004 416.541 l S BT /TT4 1 Tf 9.9626 0 0 9.9626 113.976 403.5901 Tm -0.0001 Tc [(Poisson)-251.2([7]/[5]*)]TJ ET 200.74 397.47 m 200.74 416.541 l S BT /F5 1 Tf 6.9738 0 0 6.9738 254.835 407.514 Tm 0 Tc (x)Tj /F12 1 Tf 4.9813 0 0 4.9813 259.353 410.5201 Tm (n)Tj /F5 1 Tf 6.9738 0 0 6.9738 264.24 407.514 Tm (e)Tj /F9 1 Tf 4.9813 0 0 4.9813 268.02 410.5201 Tm ()Tj /F12 1 Tf 1.0839 0 TD (x)Tj ET 254.835 406.088 m 277.857 406.088 l S BT /F5 1 Tf 6.9738 0 0 6.9738 262.755 400.161 Tm (n)Tj /F8 1 Tf 0.706 0 TD (!)Tj ET 331.952 397.47 m 331.952 416.541 l S BT /F3 1 Tf 9.9626 0 0 9.9626 381.663 403.5901 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (n)Tj /F3 1 Tf 0.8221 0 TD 0.2223 Tc [(+1)222.7(\))]TJ /F1 1 Tf 1.8881 0 TD 0 Tc (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 418.932 402.096 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 425.835 403.5901 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (n)Tj /F3 1 Tf 0.823 0 TD 0.2223 Tc [(+1)222.7(\))]TJ ET 506.435 397.47 m 506.435 416.541 l 108 397.475 m 506.439 397.475 l 108.004 374.61 m 108.004 397.47 l S BT /TT4 1 Tf 9.9626 0 0 9.9626 113.976 382.7191 Tm 0 Tc [(Gauss.)-309.9(scale)-251.1(mixture)]TJ ET 200.74 374.61 m 200.74 397.47 l S BT /F8 1 Tf 6.9738 0 0 6.9738 253.629 386.643 Tm (1)Tj ET 245.637 385.217 m 265.581 385.217 l S BT /F6 1 Tf 6.9738 0 0 6.9738 245.637 383.9341 Tm ()Tj ET 0.342 w 252.189 384.105 m 265.59 384.105 l S BT /F8 1 Tf 6.9738 0 0 6.9738 252.189 378.1651 Tm (2)Tj /F5 1 Tf 0.5692 0 TD 0.0366 Tc (x)Tj /F1 1 Tf 9.9626 0 0 9.9626 266.778 382.7191 Tm 0 Tc (e)Tj /F6 1 Tf 6.9738 0 0 6.9738 271.413 386.337 Tm ()Tj /F12 1 Tf 4.9813 0 0 4.9813 278.838 389.5591 Tm (y)Tj /F10 1 Tf 0.7661 0.4029 TD (2)Tj ET 278.838 388.083 m 286.551 388.083 l S BT 4.9813 0 0 4.9813 279.027 383.9341 Tm (2)Tj /F12 1 Tf 0.681 0 TD (x)Tj ET 0.405 w 331.952 374.61 m 331.952 397.47 l S BT /F2 1 Tf 9.9626 0 0 9.9626 383.733 382.7191 Tm ()Tj /F1 1 Tf 0.7778 0 TD (E)Tj /F5 1 Tf 6.9738 0 0 6.9738 398.835 381.2251 Tm (Y)Tj /F2 1 Tf 9.9626 0 0 9.9626 405.738 382.7191 Tm ({)Tj /F1 1 Tf 0.4996 0 TD (Y)Tj /F3 1 Tf 0.8031 0 TD (;)Tj /F1 1 Tf 0.4436 0 TD 0.5008 Tc [(Y<)222.5(y)]TJ /F2 1 Tf 2.6632 0 TD 0 Tc (})Tj ET 506.435 374.61 m 506.435 397.47 l 108 374.615 m 506.439 374.615 l 108.004 355.035 m 108.004 374.61 l S BT /TT4 1 Tf 9.9626 0 0 9.9626 113.976 361.1641 Tm [(Lapl.)-310.8(scale)-251.1(mixture)]TJ ET 200.74 355.035 m 200.74 374.61 l S BT /F8 1 Tf 6.9738 0 0 6.9738 235.233 365.088 Tm (1)Tj ET 234.963 363.662 m 239.481 363.662 l S BT /F5 1 Tf 6.9738 0 0 6.9738 234.963 357.7261 Tm (x)Tj /F1 1 Tf 9.9626 0 0 9.9626 240.678 361.1641 Tm (e)Tj /F6 1 Tf 6.9738 0 0 6.9738 245.313 364.782 Tm ()Tj /F12 1 Tf 4.9813 0 0 4.9813 252.801 367.9951 Tm (y)Tj ET 0.342 w 252.738 366.519 m 256.689 366.519 l S BT 4.9813 0 0 4.9813 252.738 362.3791 Tm (x)Tj /F3 1 Tf 9.9626 0 0 9.9626 258.372 361.1641 Tm (;)Tj /F1 1 Tf 0.4436 0 TD 0.0003 Tc [(x,)-165.5(y)-315.2(>)]TJ /F3 1 Tf 2.8764 0 TD 0 Tc (0)Tj ET 0.405 w 331.952 355.035 m 331.952 374.61 l S BT /F1 1 Tf 9.9626 0 0 9.9626 394.2993 361.1641 Tm (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 400.698 359.67 Tm (Y)Tj /F2 1 Tf 9.9626 0 0 9.9626 407.592 361.1641 Tm ({)Tj /F1 1 Tf 0.4996 0 TD 0.5008 Tc [(Y>)223.4(y)]TJ /F2 1 Tf 2.6632 0 TD 0 Tc (})Tj ET 506.435 355.035 m 506.435 374.61 l 108 355.04 m 506.439 355.04 l S BT /TT4 1 Tf 9.9626 0 0 9.9626 108 332.3011 Tm [(T)80.4(able)-378.5(1:)-564.6(Prior)19.9(-free)-376.7(estimation)-377.6(formulas.)-690.2(Functions)-378.5(written)-377.6(with)-376.7(hats)-377.6(or)-376.7(in)-377.6(terms)-376.7(of)]TJ /F1 1 Tf 35.0487 0 TD ()Tj /TT4 1 Tf 1.0353 0 TD (represent)Tj -36.084 -1.0994 TD [(multiplication)-229.5(in)-228.6(the)-228.6(F)15.4(ourier)-229.5(Domain.)]TJ /F1 1 Tf 15.2305 0 TD (n)Tj /TT4 1 Tf 0.8284 0 TD (replaces)Tj /F1 1 Tf 3.5048 0 TD (y)Tj /TT4 1 Tf 0.7552 0 TD [(for)-227.7(discrete)-228.6(distrib)19.9(utions.)-302.6(Brack)9.9(eted)-230.4(numbers)-229.5(are)]TJ -20.319 -1.1003 TD [(references)-251.1(for)-250.2(operators)]TJ /F4 1 Tf 9.7458 0 TD (L)Tj /TT4 1 Tf 0.692 0 TD [(,)-249.3(with)-250.2(*)-250.2(denoting)-252.9(references)-251.1(for)-249.3(the)-250.2(parametric)-251.1(\(dual\))-251.1(operator)39.7(,)]TJ /F4 1 Tf 25.2328 0 TD (L)Tj /F6 1 Tf 6.9738 0 0 6.9738 470.223 314.0041 Tm ()Tj /TT4 1 Tf 9.9626 0 0 9.9626 474.804 310.386 Tm (.)Tj /TT2 1 Tf 11.9551 0 0 11.9551 108 279.012 Tm [(4)-1000.5(Simulations)]TJ 9.9626 0 0 9.9626 108 255.504 Tm [(4.1)-1000.9(Non-parametric)-252.9(examples)]TJ /TT4 1 Tf 0 -2.0597 TD [(Since)-373.1(each)-373.1(of)-372.2(the)-372.2(prior)19.9(-free)-371.3(estimators)-371.3(discussed)-373.1(abo)15.4(v)15.4(e)-374(relies)-371.3(on)-373.1(approximating)-374(v)25.3(alues)-373.1(from)-371.3(the)]TJ 0 -1.1003 TD [(observ)15.4(ed)-249.3(data,)-248.4(the)-247.5(beha)19.9(vior)-249.3(of)-247.5(such)-247.5(estimators)-246.6(should)-248.4(approach)-249.3(the)-248.4(BLS)-247.5(estimator)-247.5(as)-246.6(the)-248.4(number)-248.4(of)]TJ T* [(data)-202.4(samples)-202.4(gro)25.3(ws.)-293.6(In)-201.5(Fig.)-202.4(1,)-211.4(we)-201.5(e)15.4(xamine)-204.2(the)-202.4(beha)19.9(vior)-203.3(of)-201.5(three)-202.4(non-parametric)-203.3(prior)19.9(-free)-200.6(estimators)]TJ 0 -1.0994 TD [(based)-358.6(on)-357.7(Eq.)-358.6(\(4\).)-630.6(The)]TJ /TT7 1 Tf 9.6726 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(rst)-356.8(case)-358.6(corresponds)-358.6(to)-357.7(data)-357.7(dra)15.4(wn)-358.6(independently)-361.4(from)-356.8(a)-357.7(binary)-358.6(source,)]TJ -10.2288 -1.1003 TD [(which)-271.9(are)-271(observ)15.4(ed)-272.8(through)-271.9(a)-271(process)-271(in)-271(which)-271.9(bits)-270.1(are)-271(switched)-271.9(with)-270.1(probability)]TJ /F8 1 Tf 6.9738 0 0 6.9738 437.373 195.069 Tm (1)Tj ET 437.373 193.643 m 441.351 193.643 l S BT 6.9738 0 0 6.9738 437.373 187.707 Tm (4)Tj /TT4 1 Tf 9.9626 0 0 9.9626 442.539 191.1451 Tm [(.)-371.3(The)-271.9(estimator)]TJ -33.5793 -1.1003 TD [(does)-335.2(not)-335.2(kno)25.3(w)-336.1(the)-334.2(binary)-336.1(distrib)19.9(ution)-334.3(of)-334.2(the)-334.2(source)-336.1(\(which)-335.2(w)9.9(a)0(s)-334.2(a)-334.2()0(f)9.9(air)-334.2(coin)-336.1(for)-333.3(our)-335.1(simulation\),)]TJ 0 -1.0994 TD [(b)19.9(u)0(t)-281.9(does)-282.8(kno)25.3(w)-283.7(the)-282.8(bit-switching)-281.9(probability)65(.)-406.5(F)15.4(or)-282.8(this)-281.9(estimator)-281.9(we)-281.9(approximate)]TJ /F1 1 Tf 32.2962 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 436.104 167.7361 Tm (Y)Tj /TT4 1 Tf 9.9626 0 0 9.9626 445.806 169.2301 Tm [(using)-281.8(a)-282.8(simple)]TJ -33.9073 -1.1003 TD [(histogram,)-359.5(and)-339.7(then)-338.8(use)-337.9(the)-337.9(matrix)-337.9(v)15.4(ersion)-338.8(of)-337.9(the)-337.9(linear)-338.8(operator)-338.8(in)-337.9(Eq.)-337.9(\(3\).)-571.8(W)80.4(e)-338.8(characterize)-339.7(the)]TJ T* [(beha)19.9(vior)-309.9(of)-308.1(this)-307.1(estimator)-308.1(as)-308.1(a)-309(function)-309(of)-308.1(the)-309(number)-309(of)-308(data)-309(points,)]TJ /F1 1 Tf 28.4152 0 TD (N)Tj /TT4 1 Tf 0.9124 0 TD [(,)-321.6(b)0(y)-309(running)-309.9(man)15.4(y)-309.9(Monte)]TJ -29.3277 -1.0994 TD [(Carlo)-340.6(simulations)-339.7(for)-340.6(each)]TJ /F1 1 Tf 11.1929 0 TD (N)Tj /TT4 1 Tf 1.2521 0 TD [(and)-341.5(indicating)-341.5(the)-340.6(mean)-341.5(impro)15.4(v)15.4(ement)-343.3(in)-339.7(MSE)-340.6(\(compared)-342.4(with)-339.7(the)]TJ -12.4449 -1.1003 TD [(ML)-305.3(estimator)39.7(,)-317.1(which)-306.2(is)-303.5(the)-305.3(identity)-305.3(function\),)-318.9(the)-305.3(mean)-306.2(impro)15.4(v)15.4(ement)-307.1(using)-305.3(the)-305.3(con)39.7(v)15.4(entional)-308.1(BLS)]TJ T* [(estimation)-222.2(function,)]TJ /F1 1 Tf 8.1993 0 TD (E)Tj /F2 1 Tf 0.7959 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (X)Tj /F2 1 Tf 0.907 0 TD (|)Tj /F1 1 Tf 0.2773 0 TD (Y)Tj /F3 1 Tf 1.0813 0 TD (=)Tj /F4 1 Tf 1.0552 0 TD (y)Tj /F2 1 Tf 0.6233 0 TD (})Tj /TT4 1 Tf 0.7218 0 TD [(assuming)-222.2(the)-223.1(prior)-221.3(density)-222.2(is)-221.3(kno)25.3(wn,)-229.5(and)-223.1(the)-222.2(standard)-223.1(de)25.3(viations)]TJ -14.1608 -1.0994 TD [(of)-250.2(the)-250.2(impro)15.4(v)15.4(ements)-252.9(tak)9.9(en)-251.1(o)15.4(v)15.4(e)0(r)-252(our)-250.2(simulations.)]TJ 0 -1.7002 TD [(Figure)-269.2(1)]TJ /TT2 1 Tf 3.38 0 TD (b)Tj /TT4 1 Tf 0.8254 0 TD [(sho)25.3(ws)-269.2(similar)-267.4(results)-267.4(for)-267.4(additi)25.3(v)15.4(e)-271(Gaussian)-269.2(noise,)-272.8(with)-268.3(SNR)-269.2(replacing)-270.1(MSE.)-269.2(Signal)-269.2(den-)]TJ -4.2054 -1.1003 TD [(sity)-332.4(is)-332.4(a)-333.3(generalized)-336.1(Gaussian)-334.2(with)-333.3(e)15.4(xponent)]TJ /F3 1 Tf 18.5955 0 TD (0)Tj /F1 1 Tf 0.4996 0 TD (.)Tj /F3 1 Tf 0.2773 0 TD (5)Tj /TT4 1 Tf 0.4996 0 TD [(.)-560.1(I)0(n)-333.3(this)-332.4(case,)-354.1(we)-334.2(compute)-335.2(Eq.)-333.3(\(4\))-333.3(using)-333.3(a)-333.3(more)]TJ -0.248 -3.0001 TD (5)Tj ET endstream endobj 30 0 obj << /ProcSet [/PDF /Text ] /Font << /F1 14 0 R /F2 15 0 R /F3 16 0 R /F4 17 0 R /F5 18 0 R /F6 19 0 R /F7 20 0 R /F8 21 0 R /F9 31 0 R /F10 32 0 R /F11 33 0 R /F12 34 0 R /TT2 4 0 R /TT4 5 0 R /TT7 7 0 R >> /ExtGState << /GS1 9 0 R >> >> endobj 36 0 obj << /Length 27770 >> stream q 1 i 114.84 629.821 121.387 93.245 re W n 1 g /GS1 gs 114.84 723.066 121.387 -93.245 re f Q 1 g /GS1 gs 131.602 719.282 100.014 -77.229 re f 1 G 0 J 1 j 0.16 w 10 M []0 d 1 i 131.602 642.053 m 131.602 719.282 l 231.616 719.282 l 231.616 642.053 l 131.602 642.053 l S 0 G 131.602 642.053 m 231.616 642.053 l 131.602 642.053 m 131.602 719.282 l 131.602 642.053 m 131.602 642.559 l 131.602 642.053 m 131.602 643.065 l S BT /TT11 1 Tf 4.477 0 0 4.477 128.2978 635.6035 Tm 0 g 0 Tc 0 Tw (10)Tj 2.9847 0 0 2.9847 133.2545 638.3749 Tm (0)Tj ET 139.117 642.053 m 139.117 642.559 l 143.514 642.053 m 143.514 642.559 l 146.632 642.053 m 146.632 642.559 l 149.057 642.053 m 149.057 642.559 l 151.056 642.053 m 151.056 642.559 l 152.708 642.053 m 152.708 642.559 l 154.174 642.053 m 154.174 642.559 l 155.453 642.053 m 155.453 642.559 l 156.599 642.053 m 156.599 642.559 l 156.599 642.053 m 156.599 643.065 l S BT 4.477 0 0 4.477 153.2946 635.6035 Tm (10)Tj 2.9847 0 0 2.9847 158.2514 638.3749 Tm (1)Tj ET 164.114 642.053 m 164.114 642.559 l 168.511 642.053 m 168.511 642.559 l 171.656 642.053 m 171.656 642.559 l 174.081 642.053 m 174.081 642.559 l 176.053 642.053 m 176.053 642.559 l 177.732 642.053 m 177.732 642.559 l 179.171 642.053 m 179.171 642.559 l 180.45 642.053 m 180.45 642.559 l 181.596 642.053 m 181.596 642.559 l 181.596 642.053 m 181.596 643.065 l S BT 4.477 0 0 4.477 178.2915 635.6035 Tm (10)Tj 2.9847 0 0 2.9847 183.2482 638.3749 Tm (2)Tj ET 189.111 642.053 m 189.111 642.559 l 193.535 642.053 m 193.535 642.559 l 196.653 642.053 m 196.653 642.559 l 199.078 642.053 m 199.078 642.559 l 201.05 642.053 m 201.05 642.559 l 202.729 642.053 m 202.729 642.559 l 204.168 642.053 m 204.168 642.559 l 205.447 642.053 m 205.447 642.559 l 206.593 642.053 m 206.593 642.559 l 206.593 642.053 m 206.593 643.065 l S BT 4.477 0 0 4.477 203.2883 635.6035 Tm (10)Tj 2.9847 0 0 2.9847 208.245 638.3749 Tm (3)Tj ET 214.134 642.053 m 214.134 642.559 l 218.532 642.053 m 218.532 642.559 l 221.65 642.053 m 221.65 642.559 l 224.075 642.053 m 224.075 642.559 l 226.047 642.053 m 226.047 642.559 l 227.725 642.053 m 227.725 642.559 l 229.191 642.053 m 229.191 642.559 l 230.47 642.053 m 230.47 642.559 l 231.616 642.053 m 231.616 642.559 l 231.616 642.053 m 231.616 643.065 l S BT 4.477 0 0 4.477 228.3118 635.6035 Tm (10)Tj 2.9847 0 0 2.9847 233.2685 638.3749 Tm (4)Tj ET 131.602 642.053 m 132.588 642.053 l S BT /TT10 1 Tf 4.477 0 0 4.477 121.8487 640.4003 Tm <00ef>Tj /TT11 1 Tf 0.584 0 TD (0.3)Tj ET 131.602 657.509 m 132.588 657.509 l S BT /TT10 1 Tf 4.477 0 0 4.477 121.8487 655.8568 Tm <00ef>Tj /TT11 1 Tf 0.584 0 TD (0.2)Tj ET 131.602 672.965 m 132.588 672.965 l S BT /TT10 1 Tf 4.477 0 0 4.477 121.8487 671.3132 Tm <00ef>Tj /TT11 1 Tf 0.584 0 TD (0.1)Tj ET 131.602 688.395 m 132.588 688.395 l S BT 4.477 0 0 4.477 128.1912 686.743 Tm (0)Tj ET 131.602 703.852 m 132.588 703.852 l S BT 4.477 0 0 4.477 124.4603 702.1995 Tm (0.1)Tj ET 131.602 719.282 m 132.588 719.282 l S BT 4.477 0 0 4.477 124.4603 717.6293 Tm (0.2)Tj ET 0.9 g 149.057 711.873 m 152.708 714.298 l 156.599 714.778 l 159.451 710.621 l 162.968 707.689 l 166.539 704.465 l 170.19 703.186 l 173.628 701.986 l 177.092 701.56 l 180.583 701.027 l 184.101 700.627 l 187.619 700.201 l 191.11 699.908 l 194.601 699.721 l 198.092 699.455 l 201.609 699.268 l 208.591 698.948 l 212.109 698.815 l 215.6 698.708 l 219.091 698.629 l 219.091 697.429 l 215.6 697.296 l 212.109 697.19 l 208.591 697.003 l 205.1 696.817 l 201.609 696.55 l 198.092 696.23 l 194.601 695.884 l 191.11 695.431 l 187.619 694.844 l 184.101 694.098 l 180.583 693.086 l 177.092 691.7 l 173.628 690.048 l 170.19 687.649 l 166.539 683.412 l 162.968 676.59 l 159.451 667.503 l 156.599 655.35 l 152.708 646.903 l 149.057 646.876 l f* 0.6 g 149.057 713.179 m 152.708 710.701 l 156.599 708.888 l 159.451 707.316 l 162.968 705.744 l 166.539 704.651 l 170.19 703.878 l 173.628 702.759 l 177.092 702.173 l 180.583 701.587 l 184.101 701.027 l 187.619 700.547 l 191.11 700.174 l 194.601 699.934 l 198.092 699.615 l 201.609 699.401 l 205.1 699.188 l 208.591 699.002 l 212.109 698.868 l 215.6 698.735 l 219.091 698.655 l 219.091 697.456 l 212.109 697.243 l 208.591 697.083 l 205.1 696.95 l 201.609 696.71 l 198.092 696.47 l 194.601 696.203 l 191.11 695.884 l 187.619 695.537 l 184.101 695.058 l 180.583 694.551 l 177.092 693.885 l 173.628 693.192 l 170.19 692.473 l 166.539 691.22 l 162.968 690.154 l 159.451 688.822 l 156.599 687.542 l 152.708 685.597 l 149.057 683.225 l f* 1 G 0.64 w 149.057 698.202 m 152.708 698.149 l 156.599 698.229 l 159.451 698.069 l 162.968 697.936 l 166.539 697.936 l 170.19 698.176 l 173.628 697.962 l 177.092 698.016 l 180.583 698.069 l 184.101 698.042 l 191.11 698.042 l 194.601 698.069 l 198.092 698.042 l 201.609 698.042 l 205.1 698.069 l 208.591 698.042 l 212.109 698.069 l 215.6 698.042 l 219.091 698.042 l S 0 G [1.919 ]0 d 149.057 679.388 m 152.708 680.614 l 156.599 685.064 l 159.451 689.062 l 162.968 692.153 l 166.539 693.938 l 170.19 695.431 l 173.628 696.017 l 177.092 696.63 l 180.583 697.056 l 184.101 697.349 l 187.619 697.536 l 191.11 697.669 l 194.601 697.802 l 198.092 697.856 l 201.609 697.909 l 205.1 697.962 l 208.591 697.962 l 212.109 698.016 l 219.091 698.016 l S BT 4.477 0 0 4.477 171.3627 630.8599 Tm 0 g (# samples)Tj 0 4.477 -4.477 0 119.397 662.3325 Tm (MSE improvement)Tj ET q 248.183 629.821 119.08 93.275 re W n 1 g 248.183 723.096 119.08 -93.275 re f Q 1 g 262.604 719.311 100.046 -77.254 re f 1 G 0.16 w []0 d 262.604 642.057 m 262.604 719.311 l 362.651 719.311 l 362.651 642.057 l 262.604 642.057 l S 0 G 262.604 642.057 m 362.651 642.057 l 262.604 642.057 m 262.604 719.311 l 262.604 642.057 m 262.604 642.563 l 262.604 642.057 m 262.604 643.07 l S BT 4.4785 0 0 4.4785 259.2989 635.6053 Tm 0 g (10)Tj 2.9857 0 0 2.9857 264.2572 638.3778 Tm (2)Tj ET 272.628 642.057 m 272.628 642.563 l 278.492 642.057 m 278.492 642.563 l 282.678 642.057 m 282.678 642.563 l 285.903 642.057 m 285.903 642.563 l 288.542 642.057 m 288.542 642.563 l 290.782 642.057 m 290.782 642.563 l 292.701 642.057 m 292.701 642.563 l 294.407 642.057 m 294.407 642.563 l 295.953 642.057 m 295.953 642.563 l 295.953 642.057 m 295.953 643.07 l S BT 4.4785 0 0 4.4785 292.6477 635.6053 Tm (10)Tj 2.9857 0 0 2.9857 297.606 638.3778 Tm (3)Tj ET 305.977 642.057 m 305.977 642.563 l 311.841 642.057 m 311.841 642.563 l 316.026 642.057 m 316.026 642.563 l 319.252 642.057 m 319.252 642.563 l 321.891 642.057 m 321.891 642.563 l 324.13 642.057 m 324.13 642.563 l 326.05 642.057 m 326.05 642.563 l 327.756 642.057 m 327.756 642.563 l 329.302 642.057 m 329.302 642.563 l 329.302 642.057 m 329.302 643.07 l S BT 4.4785 0 0 4.4785 325.9965 635.6053 Tm (10)Tj 2.9857 0 0 2.9857 330.9548 638.3778 Tm (4)Tj ET 339.325 642.057 m 339.325 642.563 l 345.19 642.057 m 345.19 642.563 l 349.375 642.057 m 349.375 642.563 l 352.601 642.057 m 352.601 642.563 l 355.24 642.057 m 355.24 642.563 l 357.479 642.057 m 357.479 642.563 l 359.399 642.057 m 359.399 642.563 l 361.105 642.057 m 361.105 642.563 l 362.651 642.057 m 362.651 642.563 l 362.651 642.057 m 362.651 643.07 l S BT 4.4785 0 0 4.4785 359.3453 635.6053 Tm (10)Tj 2.9857 0 0 2.9857 364.3036 638.3778 Tm (5)Tj ET 262.604 642.057 m 263.591 642.057 l S BT 4.4785 0 0 4.4785 259.1923 640.4037 Tm (0)Tj ET 262.604 654.932 m 263.591 654.932 l S BT 4.4785 0 0 4.4785 255.4602 653.2794 Tm (0.5)Tj ET 262.604 667.808 m 263.591 667.808 l S BT 4.4785 0 0 4.4785 259.1923 666.1552 Tm (1)Tj ET 262.604 680.684 m 263.591 680.684 l S BT 4.4785 0 0 4.4785 255.4602 679.0308 Tm (1.5)Tj ET 262.604 693.559 m 263.591 693.559 l S BT 4.4785 0 0 4.4785 259.1923 691.9065 Tm (2)Tj ET 262.604 706.435 m 263.591 706.435 l S BT 4.4785 0 0 4.4785 255.4602 704.7821 Tm (2.5)Tj ET 262.604 719.311 m 263.591 719.311 l S BT 4.4785 0 0 4.4785 259.1923 717.6578 Tm (3)Tj ET q 262.604 642.03 100.073 77.281 re W n 0.9 g 262.604 654.399 m 267.563 658.451 l 272.628 666.555 l 277.613 672.873 l 282.598 679.484 l 287.583 685.135 l 292.594 690.067 l 297.606 693.719 l 302.618 696.732 l 307.603 698.731 l 312.614 700.09 l 317.626 700.89 l 322.611 701.503 l 327.623 701.637 l 332.634 701.797 l 337.619 701.903 l 342.631 701.876 l 347.643 701.876 l 352.628 701.797 l 357.639 701.743 l 362.651 701.69 l 362.651 700.837 l 357.639 700.703 l 352.628 700.624 l 347.643 700.41 l 342.631 700.224 l 337.619 699.957 l 332.634 699.584 l 327.623 699.131 l 322.611 698.464 l 317.626 697.585 l 312.614 696.172 l 307.603 694.412 l 302.618 692.146 l 297.606 688.947 l 292.594 684.842 l 287.583 680.044 l 282.598 674.099 l 277.613 667.435 l 272.628 658.238 l 267.563 646.508 l 262.604 642.11 l f* 0.6 g 262.604 716.352 m 267.563 713.552 l 272.628 711.766 l 277.613 709.127 l 282.598 708.328 l 287.583 706.941 l 292.594 706.195 l 297.606 705.475 l 302.618 704.809 l 307.603 704.276 l 312.614 703.956 l 317.626 703.503 l 322.611 703.316 l 327.623 702.809 l 332.634 702.623 l 337.619 702.516 l 342.631 702.303 l 347.643 702.196 l 352.628 702.09 l 357.639 701.956 l 362.651 701.876 l 362.651 701.023 l 357.639 700.917 l 352.628 700.863 l 347.643 700.703 l 337.619 700.437 l 332.634 700.25 l 327.623 700.037 l 322.611 699.824 l 317.626 699.477 l 312.614 698.997 l 307.603 698.571 l 302.618 698.171 l 297.606 697.371 l 292.594 696.145 l 287.583 696.012 l 282.598 694.306 l 277.613 693.479 l 272.628 692.066 l 267.563 689.614 l 262.604 687.881 l f* 1 G 0.64 w 262.604 702.116 m 267.563 701.583 l 272.628 701.903 l 277.613 701.29 l 282.598 701.317 l 287.583 701.477 l 292.594 701.183 l 297.606 701.423 l 302.618 701.477 l 307.603 701.423 l 312.614 701.477 l 317.626 701.503 l 322.611 701.557 l 327.623 701.423 l 332.634 701.423 l 337.619 701.477 l 342.631 701.423 l 347.643 701.45 l 352.628 701.477 l 357.639 701.45 l 362.651 701.45 l S 0 G [1.919 ]0 d 262.604 648.241 m 267.563 652.48 l 272.628 662.396 l 277.613 670.154 l 282.598 676.792 l 287.583 682.576 l 292.594 687.455 l 297.606 691.32 l 302.618 694.439 l 307.603 696.572 l 312.614 698.144 l 317.626 699.237 l 322.611 699.984 l 327.623 700.384 l 332.634 700.677 l 337.619 700.943 l 347.643 701.157 l 352.628 701.21 l 357.639 701.237 l 362.651 701.263 l S Q BT 4.4785 0 0 4.4785 302.3777 630.8603 Tm (# samples)Tj 0 4.4785 -4.4785 0 253.0077 662.4497 Tm (SNR improvement)Tj ET q 379.346 629.821 117.92 93.244 re W n 1 g 379.346 723.064 117.92 -93.244 re f Q 1 g 392.644 719.28 100.012 -77.228 re f 1 G 0.16 w 392.644 642.052 m 392.644 719.28 l 492.656 719.28 l 492.656 642.052 l 392.644 642.052 l S 0 G 392.644 642.052 m 492.656 642.052 l 392.644 642.052 m 392.644 719.28 l 392.644 642.052 m 392.644 642.559 l 392.644 642.052 m 392.644 643.065 l S BT 4.477 0 0 4.477 389.3397 635.6034 Tm 0 g (10)Tj 2.9847 0 0 2.9847 394.2964 638.3748 Tm (2)Tj ET 400.159 642.052 m 400.159 642.559 l 404.556 642.052 m 404.556 642.559 l 407.674 642.052 m 407.674 642.559 l 410.099 642.052 m 410.099 642.559 l 412.098 642.052 m 412.098 642.559 l 413.75 642.052 m 413.75 642.559 l 415.216 642.052 m 415.216 642.559 l 416.495 642.052 m 416.495 642.559 l 417.641 642.052 m 417.641 642.559 l 417.641 642.052 m 417.641 643.065 l S BT 4.477 0 0 4.477 414.3361 635.6034 Tm (10)Tj 2.9847 0 0 2.9847 419.2928 638.3748 Tm (3)Tj ET 425.155 642.052 m 425.155 642.559 l 429.552 642.052 m 429.552 642.559 l 432.697 642.052 m 432.697 642.559 l 435.122 642.052 m 435.122 642.559 l 437.094 642.052 m 437.094 642.559 l 438.773 642.052 m 438.773 642.559 l 440.212 642.052 m 440.212 642.559 l 441.491 642.052 m 441.491 642.559 l 442.637 642.052 m 442.637 642.559 l 442.637 642.052 m 442.637 643.065 l S BT 4.477 0 0 4.477 439.3325 635.6034 Tm (10)Tj 2.9847 0 0 2.9847 444.2891 638.3748 Tm (4)Tj ET 450.152 642.052 m 450.152 642.559 l 454.576 642.052 m 454.576 642.559 l 457.693 642.052 m 457.693 642.559 l 460.118 642.052 m 460.118 642.559 l 462.09 642.052 m 462.09 642.559 l 463.769 642.052 m 463.769 642.559 l 465.208 642.052 m 465.208 642.559 l 466.487 642.052 m 466.487 642.559 l 467.633 642.052 m 467.633 642.559 l 467.633 642.052 m 467.633 643.065 l S BT 4.477 0 0 4.477 464.3289 635.6034 Tm (10)Tj 2.9847 0 0 2.9847 469.2855 638.3748 Tm (5)Tj ET 475.175 642.052 m 475.175 642.559 l 479.572 642.052 m 479.572 642.559 l 482.69 642.052 m 482.69 642.559 l 485.115 642.052 m 485.115 642.559 l 487.087 642.052 m 487.087 642.559 l 488.766 642.052 m 488.766 642.559 l 490.231 642.052 m 490.231 642.559 l 491.51 642.052 m 491.51 642.559 l 492.656 642.052 m 492.656 642.559 l 492.656 642.052 m 492.656 643.065 l S BT 4.477 0 0 4.477 489.3519 635.6034 Tm (10)Tj 2.9847 0 0 2.9847 494.3086 638.3748 Tm (6)Tj ET 392.644 642.052 m 393.63 642.052 l S BT /TT10 1 Tf 4.477 0 0 4.477 386.6216 640.4001 Tm <00ef>Tj /TT11 1 Tf 0.584 0 TD (3)Tj ET 392.644 651.726 m 393.63 651.726 l S BT /TT10 1 Tf 4.477 0 0 4.477 386.6216 650.0735 Tm <00ef>Tj /TT11 1 Tf 0.584 0 TD (2)Tj ET 392.644 661.373 m 393.63 661.373 l S BT /TT10 1 Tf 4.477 0 0 4.477 386.6216 659.7203 Tm <00ef>Tj /TT11 1 Tf 0.584 0 TD (1)Tj ET 392.644 671.019 m 393.63 671.019 l S BT 4.477 0 0 4.477 389.2331 669.3671 Tm (0)Tj ET 392.644 680.666 m 393.63 680.666 l S BT 4.477 0 0 4.477 389.2331 679.0139 Tm (1)Tj ET 392.644 690.34 m 393.63 690.34 l S BT 4.477 0 0 4.477 389.2331 688.6874 Tm (2)Tj ET 392.644 699.986 m 393.63 699.986 l S BT 4.477 0 0 4.477 389.2331 698.3341 Tm (3)Tj ET 392.644 709.633 m 393.63 709.633 l S BT 4.477 0 0 4.477 389.2331 707.981 Tm (4)Tj ET 392.644 719.28 m 393.63 719.28 l S BT 4.477 0 0 4.477 389.2331 717.6277 Tm (5)Tj ET q 392.644 642.026 100.039 77.254 re W n 0.9 g 392.644 683.651 m 397.601 686.236 l 402.611 687.701 l 407.621 690.26 l 412.631 691.512 l 417.641 694.017 l 422.624 694.976 l 427.634 696.415 l 432.644 697.508 l 437.627 698.441 l 442.637 698.521 l 447.647 699.107 l 452.63 699.32 l 462.65 699.693 l 467.633 699.8 l 472.643 699.906 l 477.653 699.986 l 482.636 700.04 l 487.646 700.04 l 492.656 700.066 l 492.656 699.747 l 487.646 699.613 l 482.636 699.4 l 477.653 699.16 l 472.643 698.814 l 467.633 698.387 l 462.65 697.615 l 457.64 696.762 l 452.63 695.403 l 447.647 693.831 l 442.637 691.512 l 437.627 688.741 l 432.644 685.889 l 427.634 682.238 l 422.624 678.268 l 417.641 673.018 l 412.631 668.168 l 407.621 662.572 l 402.611 658.548 l 397.601 651.859 l 392.644 647.728 l f* 0.6 g 392.644 710.219 m 397.601 708.434 l 402.611 706.702 l 412.631 704.144 l 417.641 703.477 l 422.624 702.784 l 427.634 702.172 l 432.644 701.798 l 437.627 701.479 l 442.637 701.132 l 447.647 700.946 l 452.63 700.733 l 457.64 700.653 l 462.65 700.493 l 467.633 700.413 l 477.653 700.306 l 482.636 700.253 l 487.646 700.226 l 492.656 700.2 l 492.656 699.96 l 487.646 699.933 l 482.636 699.906 l 477.653 699.88 l 472.643 699.826 l 467.633 699.746 l 462.65 699.64 l 457.64 699.587 l 452.63 699.427 l 447.647 699.293 l 442.637 699 l 437.627 698.707 l 432.644 698.414 l 427.634 697.908 l 422.624 697.295 l 417.641 696.602 l 412.631 695.962 l 407.621 694.71 l 402.611 693.484 l 397.601 691.512 l 392.644 690.153 l f* 1 G 0.64 w 392.644 700.173 m 397.601 699.96 l 402.611 700.093 l 407.621 700.066 l 412.631 700.04 l 427.634 700.04 l 432.644 700.093 l 437.627 700.093 l 442.637 700.066 l 447.647 700.12 l 452.63 700.093 l 457.64 700.12 l 462.65 700.066 l 467.633 700.093 l 487.646 700.093 l 492.656 700.066 l S 0 G [1.919 ]0 d 392.644 665.69 m 397.601 669.047 l 402.611 673.125 l 407.621 676.429 l 412.631 679.84 l 417.641 683.518 l 422.624 686.635 l 427.634 689.327 l 432.644 691.699 l 437.627 693.591 l 442.637 695.003 l 447.647 696.469 l 452.63 697.375 l 457.64 698.148 l 462.65 698.654 l 467.633 699.08 l 472.643 699.347 l 477.653 699.56 l 482.636 699.72 l 487.646 699.827 l 492.656 699.906 l S Q BT 4.477 0 0 4.477 432.4039 630.8599 Tm (# samples)Tj 0 4.477 -4.477 0 384.1699 662.4385 Tm (SNR improvement)Tj /TT4 1 Tf 9.9626 0 0 9.9626 169.956 618.681 Tm [(\(a\))-12122.4(\(b\))-11962.5(\(c\))]TJ -6.2188 -1.8899 TD [(Fig.)-230.4(1:)-299.9(Empirical)-230.4(con)39.7(v)15.4(e)0(r)18.1(gence)-234(of)-229.5(prior)19.9(-free)-229.5(estimator)-230.4(to)-229.5(optimal)-230.4(BLS)-231.3(solution,)-234(as)-230.4(a)-229.5(function)-231.3(number)]TJ 0 -1.0994 TD [(of)-200.6(observ)15.4(ed)-202.4(samples)-200.5(of)]TJ /F1 1 Tf 9.2853 0 TD (Y)Tj /TT4 1 Tf 0.8031 0 TD [(.)-293.6(F)15.4(or)-200.6(each)-201.5(number)-202.4(of)-199.6(observ)25.3(ations,)-212.3(each)-201.5(estimator)-200.6(is)-199.6(simulated)-200.5(man)15.4(y)-202.4(times.)]TJ -10.0884 -1.1003 TD [(Black)-346(dashed)-346(lines)-345.1(sho)25.3(w)-345.1(the)-345.1(impro)15.4(v)15.4(ement)-347.8(of)-344.2(the)-345.1(prior)19.9(-free)-344.2(estimator)39.7(,)-367.7(a)19.9(v)15.4(eraged)-347.8(o)15.4(v)15.4(e)0(r)-346(simulations,)]TJ T* [(relati)25.3(v)15.4(e)-274.6(to)-272.8(the)-273.7(ML)-273.7(estimator)55.1(.)-378.5(White)-273.7(line)-273.7(sho)25.3(ws)-273.7(the)-273.7(mean)-274.6(impro)15.4(v)15.4(ement)-275.5(using)-273.7(the)-273.7(con)39.8(v)15.4(entional)-276.4(BLS)]TJ 0 -1.0994 TD (solution,)Tj /F1 1 Tf 3.7446 0 TD (E)Tj /F2 1 Tf 0.7959 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (X)Tj /F2 1 Tf 0.907 0 TD (|)Tj /F1 1 Tf 0.2773 0 TD (Y)Tj /F3 1 Tf 1.1121 0 TD (=)Tj /F4 1 Tf 1.0877 0 TD (y)Tj /F2 1 Tf 0.6233 0 TD (})Tj /TT4 1 Tf 0.4996 0 TD [(,)-270.1(assuming)-268.3(the)-267.4(prior)-267.4(density)-267.4(is)-266.5(kno)25.3(wn.)-363.2(Gray)-267.4(re)15.4(gions)-268.3(denote)]TJ /F2 1 Tf 24.0632 0 TD ()Tj /TT4 1 Tf 1.0452 0 TD [(one)-268.3(standard)]TJ -34.6554 -1.1003 TD [(de)25.3(viation.)-749.8(\()]TJ /TT2 1 Tf 5.0287 0 TD (a)Tj /TT4 1 Tf 0.5 0 TD [(\))-395.7(Binary)-397.5(noise)-396.6(\(10,000)-397.5(simulations)-395.7(for)-395.7(each)-398.4(number)-397.5(of)-395.7(observ)25.3(ations\);)-470.7(\()]TJ /TT2 1 Tf 29.7592 0 TD (b)Tj /TT4 1 Tf 0.5562 0 TD [(\))-395.7(additi)25.3(v)15.4(e)]TJ -35.844 -1.0994 TD [(Gaussian)-251.1(noise)-250.2(\(1,000)-251.1(simulations\);)-250.2(\()]TJ /TT2 1 Tf 14.9178 0 TD (c)Tj /TT4 1 Tf 0.4438 0 TD [(\))-249.3(Poisson)-251.1(noise)-250.2(\(1,000)-251.1(simulations\).)]TJ -15.3616 -3.0534 TD [(sophisticated)-304.4(approximation)-306.2(method,)-318.9(as)-303.5(described)-304.4(in)-304.4([8].)-469.8(W)80.4(e)]TJ /TT7 1 Tf 25.0846 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(t)-303.5(a)-303.5(local)-304.4(e)15.4(xponential)-307.1(model)-304.4(similar)]TJ -25.6408 -1.0994 TD [(to)-311.7(that)-311.7(used)-312.6(in)-310.8([9])-310.8(t)0(o)-311.7(the)-311.7(data)-312.6(in)-311.7(bins,)-326.1(with)-311.7(binwidth)-312.6(adapti)25.3(v)15.4(ely)-314.4(selected)-312.6(so)-311.7(that)-311.7(the)-311.7(product)-313.5(of)-310.8(the)]TJ 0 -1.1003 TD [(number)-327.9(of)-327(points)-327(in)-327(the)-327(bin)-327(and)-327.9(the)-327.9(squared)-327.9(binwidth)-327.9(is)-326.1(constant.)-540.2(This)-327(binwidth)-327.9(selection)-327.9(proce-)]TJ T* [(dure,)-296.3(analogous)-289.1(to)-286.4(adapti)25.3(v)15.4(e)-289.1(binning)-288.2(procedures)-288.2(de)25.3(v)15.4(eloped)-290(in)-287.3(the)-286.4(density)-287.3(estimation)-287.3(literature)-286.4([10],)]TJ 0 -1.0994 TD [(pro)15.4(vides)-305.3(a)-303.5(reasonable)-305.3(tradeof)25.3(f)-304.4(between)-305.3(bias)-304.4(and)-304.4(v)25.3(ariance,)-318.9(and)-304.4(con)39.7(v)15.4(e)0(r)18.1(ges)-306.2(to)-303.5(the)-304.4(correct)-303.5(answer)-304.4(for)]TJ 0 -1.1003 TD [(an)15.4(y)-234.9(well-beha)19.9(v)15.4(e)0(d)-235.8(density)-234([8].)-304.4(Note)-234(that)-233.1(in)-233.1(this)-233.1(case,)-236.7(con)39.7(v)15.4(e)0(r)18.1(gence)-237.6(is)-232.2(substantially)-234(slo)25.3(wer)-233.1(than)-234.9(for)-232.2(the)]TJ T* [(binary)-269.2(case,)-273.7(as)-267.4(might)-269.2(be)-268.3(e)15.4(xpected)-271.9(gi)25.3(v)15.4(e)0(n)-270.1(that)-268.3(we)-268.3(are)-269.2(dealing)-269.2(with)-268.3(a)-269.2(continuous)-270.1(density)-268.3(rather)-269.2(than)-269.2(a)]TJ 0 -1.0994 TD [(single)-250.2(scalar)-250.2(probability)65(.)-311.7(But)-250.2(the)-250.2(v)25.3(ariance)-252.9(of)-250.2(the)-250.2(estimates)-250.2(is)-249.3(v)15.4(ery)-251.1(lo)25.3(w)65(.)]TJ 0 -1.7001 TD [(Figure)-353.2(1)]TJ /TT2 1 Tf 3.4641 0 TD (c)Tj /TT4 1 Tf 0.7971 0 TD [(sho)25.3(ws)-352.3(the)-352.3(case)-353.2(of)-352.3(estimating)-352.3(a)-353.2(randomly)-353.2(v)25.3(arying)-354.1(rate)-352.3(parameter)-353.2(that)-352.3(go)15.4(v)15.4(erns)-355(an)-352.3(inho-)]TJ -4.2611 -1.1003 TD [(mogeneous)-296.3(Poisson)-294.5(process.)-440.8(The)-295.4(prior)-293.6(on)-294.5(the)-293.6(rate)-294.5(\(unkno)25.3(wn)-296.3(to)-293.6(the)-294.5(estimator\))-292.7(is)-293.6(e)15.4(xponential.)-443.6(The)]TJ 0 -1.0994 TD [(observ)15.4(ed)-342.4(v)25.3(alues)]TJ /F1 1 Tf 6.8087 0 TD (Y)Tj /TT4 1 Tf 1.1428 0 TD [(are)-341.5(the)-340.6(\(inte)15.4(ger\))-341.5(v)25.3(alues)-341.5(dra)15.4(wn)-342.4(from)-340.6(the)-340.6(Poisson)-341.5(process.)-581.8(In)-340.6(this)-339.7(case)-341.5(the)-341.5(his-)]TJ -7.9514 -1.1003 TD [(togram)-314.4(of)-314.4(observ)15.4(ed)-316.2(data)-314.4(w)9.9(a)0(s)-314.4(used)-315.3(to)-313.5(obtain)-315.3(a)-314.4(nai)25.3(v)15.4(e)-316.2(approximation)-316.2(of)]TJ /F1 1 Tf 28.9072 0 TD (P)Tj /F5 1 Tf 6.9738 0 0 6.9738 402.309 375.672 Tm (Y)Tj /F3 1 Tf 9.9626 0 0 9.9626 409.203 377.166 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (n)Tj /F3 1 Tf 0.5998 0 TD (\))Tj /TT4 1 Tf 0.3885 0 TD [(.)-502.3(I)0(t)-313.5(should)-315.3(be)-314.4(noted)]TJ -31.61 -1.1003 TD [(that)-354.1(impro)15.4(v)15.4(e)0(d)-355.9(performance)-355(for)-353.2(this)-353.2(estimator)-353.2(is)-353.2(e)15.4(xpected)-356.8(if)-352.3(we)-354.1(were)-354.1(to)-354.1(use)-354.1(a)-353.2(more)-355(sophisticated)]TJ 0 -1.0994 TD [(approximation)-252.9(of)-249.3(the)-251.1(ratio)-250.2(of)-249.3(densities.)]TJ /TT2 1 Tf 0 -2.4825 TD [(4.2)-1250.3(P)9.9(arametric)-252.9(examples)]TJ /TT4 1 Tf 0 -2.0597 TD [(In)-265.6(this)-264.7(section)-266.5(we)-266.5(discuss)-265.6(the)-266.5(empirical)-265.6(beha)19.9(vior)-267.4(of)-265.6(the)-266.5(parametric)-266.5(approach)-268.3(applied)-267.4(to)-265.6(the)-266.5(additi)25.3(v)15.4(e)]TJ 0 -1.1003 TD [(Gaussian)-251.1(case.)-310.8(From)-250.2(the)-251.1(deri)25.3(v)25.3(ation)-252(in)-250.2(section)-250.2(3,)-250.2(and)-252(restricting)-249.3(to)-250.2(the)-250.2(scalar)-250.2(case,)-251.1(we)-250.2(ha)19.9(v)15.4(e)]TJ /F4 1 Tf 16.4478 -2.2313 TD (L)Tj /F6 1 Tf 6.9738 0 0 6.9738 278.757 280.92 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 286.101 276.8071 Tm (=)Tj /F1 1 Tf 1.0552 0 TD (y)Tj /F2 1 Tf 0.7489 0 TD ()Tj /F1 1 Tf 1 0 TD ()Tj /F8 1 Tf 6.9738 0 0 6.9738 320.094 280.92 Tm (2)Tj /F1 1 Tf 9.9626 0 0 9.9626 328.374 283.548 Tm (d)Tj ET 0 j 0.405 w 325.746 279.305 m 336.177 279.305 l S BT 9.9626 0 0 9.9626 325.746 269.9761 Tm -0.0001 Tc (dy)Tj 1.1672 0.6857 TD 0 Tc (.)Tj /TT4 1 Tf -23.0234 -2.206 TD [(In)-250.2(this)-249.3(particular)-251.1(case,,)-250.2(it)-249.3(is)-249.3(easier)-250.2(to)-250.2(represent)-251.1(the)-250.2(estimator)-250.2(as)]TJ /F1 1 Tf 16.3357 -1.6441 TD (f)Tj /F3 1 Tf 0.5971 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD 0.2778 Tc (\)=)Tj /F1 1 Tf 1.7218 0 TD 0 Tc (y)Tj /F3 1 Tf 0.7489 0 TD (+)Tj /F1 1 Tf 1 0 TD (g)Tj /F3 1 Tf 0.5131 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD (\))Tj /F1 1 Tf 0.3885 0 TD (.)Tj /TT4 1 Tf -23.1355 -1.6441 TD [(Substituting)-251.1(into)-250.2(Eq.)-250.2(\(5\))-250.2(gi)25.3(v)15.4(e)0(s)]TJ /F1 1 Tf 8.9895 -1.6441 TD (E)Tj /F2 1 Tf 0.7959 0 TD -0.0004 Tc ({|)Tj /F1 1 Tf 0.7769 0 TD 0 Tc (f)Tj /F3 1 Tf 0.5971 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F3 1 Tf 0.804 0 TD (\))Tj /F2 1 Tf 0.6116 0 TD ()Tj /F1 1 Tf 1 0 TD (X)Tj /F2 1 Tf 0.907 0 TD (|)Tj /F8 1 Tf 6.9738 0 0 6.9738 258.912 209.802 Tm (2)Tj /F2 1 Tf 9.9626 0 0 9.9626 263.385 205.689 Tm (})Tj /F3 1 Tf 0.7778 0 TD (=)Tj /F1 1 Tf 1.0552 0 TD (E)Tj /F2 1 Tf 0.7959 0 TD -0.0004 Tc ({|)Tj /F1 1 Tf 0.7769 0 TD 0 Tc (g)Tj /F3 1 Tf 0.5131 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F3 1 Tf 0.804 0 TD (\))Tj /F2 1 Tf 0.3885 0 TD (|)Tj /F8 1 Tf 6.9738 0 0 6.9738 320.94 209.802 Tm (2)Tj /F3 1 Tf 9.9626 0 0 9.9626 327.636 205.689 Tm (+)Tj /F1 1 Tf 1 0 TD ()Tj /F8 1 Tf 6.9738 0 0 6.9738 343.656 209.802 Tm (2)Tj /F1 1 Tf 9.9626 0 0 9.9626 348.111 205.689 Tm (g)Tj /F6 1 Tf 6.9738 0 0 6.9738 353.223 209.802 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 356.022 205.689 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F3 1 Tf 0.8031 0 TD (\))Tj /F2 1 Tf 0.3885 0 TD (})Tj /F3 1 Tf 0.7227 0 TD 0.2223 Tc [(+c)222.3(o)222.7(n)222.3(s)222(t)]TJ /F1 1 Tf 3.2829 0 TD 0 Tc (,)Tj /TT4 1 Tf -30.4808 -1.6441 TD [(where)-246.6(the)-246.6(constant)-247.5(does)-246.6(not)-245.7(depend)-248.4(on)]TJ /F1 1 Tf 15.7238 0 TD (g)Tj /TT4 1 Tf 0.5131 0 TD [(.)-309(Therefore,)-247.5(if)-244.8(we)-246.6(ha)19.9(v)15.4(e)-247.5(a)-246.6(parametric)-246.6(f)9.9(amily)]TJ /F2 1 Tf 17.4243 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (g)Tj /F5 1 Tf 6.9738 0 0 6.9738 452.997 187.8151 Tm ()Tj /F2 1 Tf 9.9626 0 0 9.9626 457.515 189.309 Tm (})Tj /TT4 1 Tf 0.7453 0 TD [(of)-245.7(such)]TJ /F1 1 Tf 3.1593 0 TD (g)Tj /TT4 1 Tf 0.5131 0 TD (,)Tj -39.5002 -1.0994 TD [(and)-251.1(are)-251.1(gi)25.3(v)15.4(e)0(n)-252(data)]TJ /F2 1 Tf 7.5166 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD (Y)Tj /F5 1 Tf 6.9738 0 0 6.9738 193.617 176.862 Tm (n)Tj /F2 1 Tf 9.9626 0 0 9.9626 199.035 178.356 Tm (})Tj /TT4 1 Tf 0.7498 0 TD [(we)-251.1(can)-251.1(try)-250.2(and)-251.1(minimize)]TJ /F3 1 Tf 3.7878 -2.0461 TD (1)Tj ET 242.19 153.728 m 251.289 153.728 l S BT /F1 1 Tf 9.9626 0 0 9.9626 242.19 144.399 Tm (N)Tj /F5 1 Tf 6.9738 0 0 6.9738 258.111 163.6861 Tm (N)Tj /F7 1 Tf 9.9626 0 0 9.9626 254.448 160.6981 Tm ()Tj /F5 1 Tf 6.9738 0 0 6.9738 254.133 139.602 Tm (n)Tj /F8 1 Tf 0.706 0 TD 0.0007 Tc (=1)Tj /F2 1 Tf 9.9626 0 0 9.9626 269.145 151.2301 Tm -0.0004 Tc ({|)Tj /F1 1 Tf 0.7769 0 TD 0 Tc (g)Tj /F5 1 Tf 6.9738 0 0 6.9738 281.637 149.7361 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 286.155 151.2301 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F5 1 Tf 6.9738 0 0 6.9738 295.812 149.7361 Tm (n)Tj /F3 1 Tf 9.9626 0 0 9.9626 301.239 151.2301 Tm (\))Tj /F2 1 Tf 0.3885 0 TD (|)Tj /F8 1 Tf 6.9738 0 0 6.9738 307.872 155.3431 Tm (2)Tj /F3 1 Tf 9.9626 0 0 9.9626 314.559 151.2301 Tm (+)Tj /F1 1 Tf 1 0 TD ()Tj /F8 1 Tf 6.9738 0 0 6.9738 330.579 155.3431 Tm (2)Tj /F1 1 Tf 9.9626 0 0 9.9626 335.043 151.2301 Tm (g)Tj /F6 1 Tf 6.9738 0 0 6.9738 340.155 155.3431 Tm ()Tj /F5 1 Tf -0.0516 -0.9421 TD ()Tj /F3 1 Tf 9.9626 0 0 9.9626 344.304 151.2301 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (Y)Tj /F5 1 Tf 6.9738 0 0 6.9738 353.961 149.7361 Tm (n)Tj /F3 1 Tf 9.9626 0 0 9.9626 359.388 151.2301 Tm (\))Tj /F2 1 Tf 0.3885 0 TD (})Tj /F1 1 Tf 0.4996 0 TD (.)Tj /TT4 1 Tf 11.9616 0 TD (\(12\))Tj -38.0827 -2.5936 TD [(This)-209.6(e)15.4(xpression,)-218.6(kno)25.3(wn)-212.3(as)-209.6(Stein)55.1(s)-209.6(unbiased)-211.4(risk)-208.7(estimator)-209.6(\(SURE\))-209.6([4],)-217.7(f)9.9(a)19.9(v)19.9(ors)-208.7(estimators)]TJ /F1 1 Tf 35.0506 0 TD (g)Tj /F5 1 Tf 6.9738 0 0 6.9738 461.916 123.897 Tm ()Tj /TT4 1 Tf 9.9626 0 0 9.9626 468.513 125.3911 Tm [(that)-209.6(ha)19.9(v)15.4(e)]TJ -36.1865 -1.1003 TD [(small)-276.4(amplitude,)-284.6(and)-277.3(highly)-278.2(ne)15.4(g)5.4(ati)25.3(v)15.4(e)-280(deri)25.3(v)25.3(ati)25.3(v)15.4(e)0(s)-278.2(a)0(t)-277.3(the)-276.4(data)-278.2(v)25.3(alues.)-390.3(This)-276.4(is)-276.4(intuiti)25.3(v)15.4(ely)-277.3(sensible:)-363.2(the)]TJ 0 -1.0994 TD [(resulting)-250.2(estimators)-249.3(will)-250.2(shrink)-251.1(the)-250.2(data)-251.1(to)25.3(w)9.9(ard)-251.1(re)15.4(gions)-251.1(of)-250.2(high)-251.1(probability)65(.)]TJ 0 -1.7002 TD [(Recently)65(,)-334.2(a)0(n)-316.2(e)15.4(xpression)-317.1(similar)-315.3(to)-315.3(Eq.)-316.2(\(12\))-316.2(w)9.9(a)0(s)-316.2(used)-316.2(as)-316.2(a)-315.3(criterion)-316.2(for)-315.3(density)-317.1(estimation)-316.2(in)-315.3(cases)]TJ 0 -1.1003 TD [(where)-262.9(the)-262.9(normalizing)-263.8(constant,)-265.6(or)-262(partition)-262.9(function,)-265.6(is)-261.1(dif)]TJ /TT7 1 Tf 23.742 0 TD ()Tj /TT4 1 Tf 0.5561 0 TD [(cult)-262.9(to)-262(obtain.)-346.9(The)-262.9(prior)19.9(-free)-262(approach)]TJ -4.6742 -3.0001 TD (6)Tj ET endstream endobj 37 0 obj << /ProcSet [/PDF /Text ] /Font << /F1 14 0 R /F2 15 0 R /F3 16 0 R /F4 17 0 R /F5 18 0 R /F6 19 0 R /F7 20 0 R /F8 21 0 R /TT2 4 0 R /TT4 5 0 R /TT7 7 0 R /TT10 38 0 R /TT11 39 0 R >> /ExtGState << /GS1 9 0 R >> >> endobj 41 0 obj << /Length 68491 >> stream q 1 i 250.177 635.96 111.942 87.733 re W n 1 g /GS1 gs 250.177 723.694 111.942 -87.733 re f Q 1 g /GS1 gs 1 i 251.198 722.294 109.463 -86.275 re f* q 250.177 635.96 111.942 87.733 re W n 1 G 0 J 1 j 0.175 w 10 M []0 d 251.198 636.019 m 251.198 722.294 l 360.66 722.294 l 360.66 636.019 l 251.198 636.019 l S 0 G 251.198 636.019 m 360.66 636.019 l 251.198 722.294 m 360.66 722.294 l 251.198 636.019 m 251.198 722.294 l 360.66 636.019 m 360.66 722.294 l 251.198 636.019 m 360.66 636.019 l 251.198 636.019 m 251.198 722.294 l 251.198 636.019 m 360.66 636.019 l 251.198 722.294 m 360.66 722.294 l 251.198 636.019 m 251.198 722.294 l 360.66 636.019 m 360.66 722.294 l S Q q 251.198 635.99 109.492 86.304 re W n 0 G 0 J 1 j 0.7 w 10 M [0.175 1.4 ]0 d 349.781 713.748 m 349.898 713.835 l 349.985 713.923 l 350.219 714.098 l 350.335 714.185 l 350.423 714.273 l 350.539 714.36 l 350.773 714.535 l 350.86 714.623 l 350.977 714.681 l 351.21 714.856 l 351.327 714.944 l 351.415 715.031 l 351.531 715.119 l 351.765 715.294 l 351.852 715.381 l 352.202 715.644 l 352.29 715.731 l 352.406 715.819 l 352.523 715.906 l 352.64 715.994 l 352.727 716.081 l 353.194 716.432 l 353.281 716.519 l 353.398 716.607 l 353.515 716.694 l 353.631 716.782 l 353.719 716.869 l 354.069 717.132 l 354.156 717.219 l 354.273 717.277 l 354.39 717.365 l 354.506 717.452 l 354.594 717.54 l 355.06 717.89 l 355.148 717.978 l 355.265 718.065 l 355.381 718.153 l 355.498 718.24 l 355.585 718.328 l 355.935 718.59 l 356.023 718.678 l 356.14 718.765 l 356.373 718.94 l 356.46 719.028 l 356.927 719.378 l 357.015 719.465 l 357.131 719.553 l 357.248 719.64 l 357.365 719.728 l 357.452 719.786 l 357.802 720.049 l 357.89 720.136 l 358.006 720.224 l 358.123 720.311 l 358.24 720.399 l 358.327 720.486 l 358.794 720.836 l 358.881 720.924 l 358.998 721.011 l 359.115 721.099 l 359.231 721.186 l 359.319 721.274 l 359.669 721.536 l 359.756 721.624 l 359.99 721.799 l 360.106 721.886 l 360.194 721.974 l 360.544 722.236 l 360.66 722.295 l 338.902 705.173 m 339.135 705.348 l 339.223 705.435 l 339.456 705.61 l 339.573 705.698 l 339.69 705.785 l 339.777 705.873 l 340.127 706.135 l 340.215 706.223 l 340.448 706.398 l 340.565 706.486 l 340.652 706.573 l 340.769 706.661 l 341.002 706.836 l 341.09 706.923 l 341.206 707.011 l 341.323 707.069 l 341.44 707.156 l 341.556 707.244 l 341.644 707.331 l 341.994 707.594 l 342.081 707.682 l 342.198 707.769 l 342.315 707.857 l 342.431 707.944 l 342.519 708.031 l 342.869 708.294 l 342.956 708.382 l 343.073 708.469 l 343.19 708.557 l 343.306 708.644 l 343.423 708.732 l 343.51 708.819 l 343.86 709.082 l 343.948 709.169 l 344.065 709.257 l 344.181 709.344 l 344.298 709.432 l 344.385 709.519 l 344.502 709.578 l 344.735 709.753 l 344.823 709.84 l 344.94 709.928 l 345.056 710.015 l 345.173 710.103 l 345.26 710.19 l 345.727 710.54 l 345.815 710.628 l 345.931 710.715 l 346.048 710.803 l 346.165 710.89 l 346.252 710.978 l 346.602 711.24 l 346.69 711.328 l 346.806 711.415 l 346.923 711.503 l 347.04 711.59 l 347.127 711.678 l 347.594 712.028 l 347.681 712.115 l 347.798 712.174 l 347.915 712.261 l 348.031 712.349 l 348.119 712.436 l 348.469 712.699 l 348.556 712.786 l 348.906 713.049 l 348.994 713.136 l 349.11 713.224 l 349.227 713.311 l 349.46 713.486 l 349.548 713.574 l 349.665 713.661 l 349.781 713.749 l S 328.052 696.627 m 328.139 696.715 l 328.256 696.802 l 328.373 696.86 l 328.49 696.948 l 328.577 697.035 l 328.927 697.298 l 329.014 697.385 l 329.131 697.473 l 329.248 697.56 l 329.365 697.648 l 329.452 697.735 l 329.802 697.998 l 329.89 698.086 l 330.006 698.173 l 330.123 698.261 l 330.356 698.436 l 330.444 698.523 l 330.794 698.786 l 330.881 698.873 l 330.998 698.961 l 331.115 699.048 l 331.231 699.136 l 331.319 699.223 l 331.435 699.311 l 331.552 699.369 l 331.669 699.457 l 331.756 699.544 l 331.873 699.632 l 331.99 699.719 l 332.106 699.807 l 332.223 699.894 l 332.31 699.982 l 332.66 700.244 l 332.748 700.332 l 332.865 700.419 l 332.981 700.507 l 333.098 700.594 l 333.185 700.682 l 333.535 700.944 l 333.623 701.032 l 333.74 701.119 l 333.856 701.207 l 334.09 701.382 l 334.177 701.469 l 334.527 701.732 l 334.615 701.819 l 334.731 701.907 l 334.848 701.965 l 334.965 702.053 l 335.052 702.14 l 335.169 702.228 l 335.285 702.315 l 335.402 702.403 l 335.49 702.49 l 335.606 702.578 l 335.723 702.665 l 335.956 702.84 l 336.044 702.928 l 336.277 703.103 l 336.394 703.19 l 336.481 703.278 l 336.598 703.365 l 336.831 703.54 l 336.919 703.628 l 337.152 703.803 l 337.269 703.89 l 337.356 703.978 l 337.473 704.065 l 337.823 704.328 l 337.91 704.415 l 338.027 704.474 l 338.144 704.561 l 338.26 704.649 l 338.348 704.736 l 338.698 704.999 l 338.785 705.086 l 338.902 705.174 l 317.173 688.052 m 317.289 688.14 l 317.377 688.227 l 317.727 688.49 l 317.814 688.577 l 317.931 688.665 l 318.048 688.752 l 318.164 688.84 l 318.252 688.927 l 318.485 689.102 l 318.602 689.161 l 318.719 689.248 l 318.806 689.336 l 318.923 689.423 l 319.039 689.511 l 319.156 689.598 l 319.244 689.686 l 319.594 689.948 l 319.681 690.036 l 319.798 690.123 l 319.914 690.211 l 320.031 690.298 l 320.119 690.386 l 320.585 690.736 l 320.673 690.823 l 320.789 690.911 l 320.906 690.998 l 321.023 691.086 l 321.11 691.173 l 321.46 691.436 l 321.548 691.523 l 321.664 691.611 l 321.781 691.698 l 321.898 691.757 l 321.985 691.844 l 322.452 692.194 l 322.539 692.282 l 322.656 692.369 l 322.773 692.457 l 322.889 692.544 l 322.977 692.632 l 323.327 692.894 l 323.415 692.982 l 323.531 693.069 l 323.648 693.157 l 323.765 693.244 l 323.852 693.332 l 324.202 693.594 l 324.319 693.682 l 324.406 693.769 l 324.523 693.857 l 324.756 694.032 l 324.844 694.119 l 324.96 694.207 l 325.077 694.265 l 325.194 694.353 l 325.281 694.44 l 325.398 694.528 l 325.631 694.703 l 325.719 694.79 l 326.069 695.053 l 326.185 695.14 l 326.273 695.228 l 326.39 695.315 l 326.623 695.49 l 326.71 695.578 l 326.944 695.753 l 327.06 695.84 l 327.148 695.928 l 327.265 696.015 l 327.498 696.19 l 327.585 696.278 l 327.819 696.453 l 327.935 696.54 l 328.052 696.628 l S 306.294 679.477 m 306.527 679.652 l 306.615 679.74 l 306.731 679.827 l 306.848 679.915 l 307.081 680.09 l 307.169 680.177 l 307.402 680.352 l 307.519 680.44 l 307.606 680.527 l 307.723 680.615 l 307.956 680.79 l 308.044 680.877 l 308.394 681.14 l 308.481 681.227 l 308.598 681.315 l 308.715 681.402 l 308.831 681.49 l 308.948 681.548 l 309.035 681.636 l 309.269 681.811 l 309.385 681.898 l 309.473 681.986 l 309.59 682.073 l 309.823 682.248 l 309.91 682.336 l 310.144 682.511 l 310.26 682.598 l 310.348 682.686 l 310.465 682.773 l 310.814 683.036 l 310.902 683.123 l 311.019 683.211 l 311.135 683.298 l 311.252 683.386 l 311.34 683.473 l 311.689 683.736 l 311.777 683.823 l 312.01 683.998 l 312.127 684.057 l 312.215 684.144 l 312.681 684.494 l 312.769 684.582 l 312.885 684.669 l 313.002 684.757 l 313.119 684.844 l 313.206 684.932 l 313.556 685.194 l 313.644 685.282 l 313.76 685.369 l 313.877 685.457 l 313.994 685.544 l 314.081 685.632 l 314.431 685.894 l 314.519 685.982 l 314.635 686.069 l 314.752 686.157 l 314.869 686.244 l 314.985 686.332 l 315.073 686.419 l 315.306 686.594 l 315.423 686.653 l 315.51 686.74 l 315.627 686.828 l 315.744 686.915 l 315.86 687.003 l 315.948 687.09 l 316.298 687.353 l 316.385 687.44 l 316.502 687.528 l 316.619 687.615 l 316.735 687.703 l 316.852 687.79 l 316.939 687.878 l 317.173 688.053 l 295.444 670.931 m 295.531 671.019 l 295.648 671.106 l 295.764 671.194 l 295.881 671.281 l 295.969 671.34 l 296.319 671.602 l 296.406 671.69 l 296.523 671.777 l 296.639 671.865 l 296.756 671.952 l 296.844 672.04 l 297.194 672.302 l 297.31 672.39 l 297.398 672.477 l 297.514 672.565 l 297.748 672.74 l 297.835 672.827 l 298.069 673.002 l 298.185 673.09 l 298.273 673.177 l 298.389 673.265 l 298.623 673.44 l 298.71 673.527 l 299.06 673.79 l 299.148 673.848 l 299.264 673.936 l 299.615 674.198 l 299.702 674.286 l 299.935 674.461 l 300.052 674.548 l 300.139 674.636 l 300.256 674.723 l 300.49 674.898 l 300.577 674.986 l 300.81 675.161 l 300.927 675.248 l 301.014 675.336 l 301.131 675.423 l 301.481 675.686 l 301.569 675.773 l 301.685 675.861 l 301.802 675.948 l 301.919 676.036 l 302.006 676.123 l 302.356 676.386 l 302.444 676.444 l 302.56 676.532 l 302.677 676.619 l 302.794 676.707 l 302.881 676.794 l 303.348 677.144 l 303.435 677.232 l 303.552 677.319 l 303.669 677.407 l 303.785 677.494 l 303.873 677.582 l 304.223 677.844 l 304.31 677.932 l 304.427 678.02 l 304.544 678.107 l 304.66 678.195 l 304.748 678.282 l 305.215 678.632 l 305.302 678.72 l 305.419 678.807 l 305.535 678.895 l 305.652 678.953 l 305.74 679.04 l 306.09 679.303 l 306.177 679.391 l 306.294 679.478 l S 284.565 662.356 m 284.681 662.444 l 284.769 662.531 l 284.885 662.619 l 285.002 662.706 l 285.119 662.794 l 285.206 662.881 l 285.556 663.144 l 285.644 663.231 l 285.877 663.406 l 285.994 663.494 l 286.11 663.581 l 286.198 663.64 l 286.548 663.902 l 286.635 663.99 l 286.752 664.077 l 286.869 664.165 l 286.985 664.252 l 287.073 664.34 l 287.423 664.602 l 287.51 664.69 l 287.627 664.777 l 287.744 664.865 l 287.86 664.952 l 287.977 665.04 l 288.065 665.127 l 288.415 665.39 l 288.502 665.477 l 288.619 665.565 l 288.735 665.652 l 288.852 665.74 l 288.94 665.827 l 289.29 666.09 l 289.377 666.177 l 289.494 666.236 l 289.61 666.323 l 289.727 666.411 l 289.844 666.498 l 289.931 666.586 l 290.281 666.848 l 290.369 666.936 l 290.485 667.023 l 290.602 667.111 l 290.719 667.198 l 290.806 667.286 l 291.156 667.548 l 291.244 667.636 l 291.36 667.723 l 291.477 667.811 l 291.594 667.898 l 291.71 667.986 l 291.798 668.073 l 292.148 668.336 l 292.235 668.424 l 292.352 668.511 l 292.469 668.599 l 292.585 668.686 l 292.673 668.744 l 293.023 669.007 l 293.11 669.094 l 293.227 669.182 l 293.344 669.269 l 293.577 669.444 l 293.665 669.532 l 294.015 669.795 l 294.102 669.882 l 294.219 669.97 l 294.335 670.057 l 294.452 670.145 l 294.54 670.232 l 294.89 670.495 l 294.977 670.582 l 295.094 670.67 l 295.21 670.757 l 295.444 670.932 l 273.685 653.781 m 273.802 653.869 l 273.919 653.956 l 274.006 654.044 l 274.123 654.131 l 274.473 654.394 l 274.56 654.481 l 274.677 654.569 l 274.794 654.656 l 274.91 654.744 l 274.998 654.831 l 275.348 655.094 l 275.435 655.181 l 275.552 655.269 l 275.669 655.356 l 275.785 655.444 l 275.873 655.531 l 276.34 655.881 l 276.427 655.969 l 276.544 656.027 l 276.66 656.115 l 276.777 656.202 l 276.865 656.29 l 277.215 656.552 l 277.302 656.64 l 277.652 656.902 l 277.74 656.99 l 278.206 657.34 l 278.294 657.427 l 278.41 657.515 l 278.527 657.602 l 278.644 657.69 l 278.731 657.777 l 279.081 658.04 l 279.169 658.128 l 279.285 658.215 l 279.402 658.303 l 279.519 658.39 l 279.606 658.478 l 279.723 658.536 l 280.073 658.798 l 280.16 658.886 l 280.277 658.973 l 280.394 659.061 l 280.51 659.148 l 280.598 659.236 l 280.948 659.499 l 281.035 659.586 l 281.152 659.674 l 281.269 659.761 l 281.385 659.849 l 281.473 659.936 l 281.94 660.286 l 282.027 660.374 l 282.144 660.461 l 282.26 660.549 l 282.377 660.636 l 282.465 660.724 l 282.815 660.986 l 282.902 661.074 l 283.019 661.132 l 283.252 661.307 l 283.34 661.395 l 283.69 661.657 l 283.777 661.745 l 283.894 661.832 l 284.01 661.92 l 284.244 662.095 l 284.331 662.182 l 284.565 662.357 l S 262.835 645.235 m 262.923 645.323 l 263.273 645.585 l 263.36 645.673 l 263.477 645.76 l 263.594 645.819 l 263.71 645.906 l 263.798 645.994 l 264.148 646.256 l 264.235 646.344 l 264.469 646.519 l 264.585 646.606 l 264.702 646.694 l 264.789 646.781 l 264.906 646.869 l 265.023 646.956 l 265.139 647.044 l 265.227 647.131 l 265.577 647.394 l 265.665 647.481 l 265.898 647.656 l 266.015 647.744 l 266.102 647.831 l 266.335 648.007 l 266.452 648.094 l 266.569 648.182 l 266.656 648.269 l 266.773 648.327 l 266.89 648.415 l 267.006 648.502 l 267.094 648.59 l 267.21 648.677 l 267.327 648.765 l 267.444 648.852 l 267.531 648.94 l 267.765 649.115 l 267.881 649.202 l 267.969 649.29 l 268.085 649.378 l 268.202 649.465 l 268.319 649.552 l 268.406 649.64 l 268.64 649.815 l 268.756 649.903 l 268.873 649.99 l 268.96 650.078 l 269.077 650.165 l 269.194 650.253 l 269.31 650.34 l 269.398 650.428 l 269.631 650.603 l 269.748 650.69 l 269.835 650.778 l 269.952 650.865 l 270.069 650.923 l 270.185 651.011 l 270.273 651.099 l 270.506 651.274 l 270.623 651.361 l 270.74 651.449 l 270.827 651.536 l 270.944 651.624 l 271.177 651.799 l 271.265 651.886 l 271.498 652.061 l 271.615 652.149 l 271.702 652.236 l 271.819 652.324 l 272.052 652.499 l 272.14 652.586 l 272.373 652.761 l 272.49 652.849 l 272.606 652.936 l 272.694 653.024 l 273.044 653.286 l 273.131 653.374 l 273.248 653.432 l 273.365 653.52 l 273.481 653.607 l 273.569 653.695 l 273.685 653.782 l 251.956 636.66 m 252.073 636.748 l 252.16 636.835 l 252.277 636.923 l 252.51 637.098 l 252.598 637.185 l 252.715 637.273 l 252.948 637.448 l 253.035 637.535 l 253.152 637.623 l 253.385 637.798 l 253.502 637.885 l 253.59 637.973 l 253.823 638.148 l 253.94 638.206 l 254.027 638.294 l 254.144 638.381 l 254.377 638.556 l 254.465 638.644 l 254.581 638.731 l 254.815 638.906 l 254.902 638.994 l 255.019 639.081 l 255.252 639.256 l 255.369 639.344 l 255.456 639.431 l 255.69 639.606 l 255.806 639.694 l 255.894 639.781 l 256.01 639.869 l 256.127 639.956 l 256.244 640.044 l 256.331 640.131 l 256.448 640.219 l 256.565 640.306 l 256.681 640.393 l 256.769 640.481 l 256.885 640.568 l 257.002 640.656 l 257.119 640.714 l 257.235 640.802 l 257.323 640.889 l 257.556 641.064 l 257.673 641.152 l 257.76 641.239 l 257.877 641.327 l 257.994 641.414 l 258.11 641.502 l 258.198 641.589 l 258.315 641.677 l 258.431 641.764 l 258.548 641.852 l 258.635 641.939 l 258.752 642.027 l 258.869 642.114 l 259.102 642.289 l 259.19 642.377 l 259.423 642.552 l 259.54 642.639 l 259.627 642.727 l 259.744 642.814 l 259.86 642.902 l 259.977 642.989 l 260.065 643.077 l 260.298 643.252 l 260.415 643.31 l 260.502 643.398 l 260.619 643.485 l 260.735 643.573 l 260.969 643.748 l 261.056 643.835 l 261.173 643.923 l 261.29 644.01 l 261.406 644.098 l 261.494 644.185 l 261.61 644.273 l 261.844 644.448 l 261.931 644.535 l 262.048 644.623 l 262.165 644.71 l 262.281 644.798 l 262.369 644.885 l 262.485 644.973 l 262.835 645.235 l S 251.198 636.048 m 251.285 636.135 l 251.402 636.223 l 251.635 636.398 l 251.723 636.485 l 251.84 636.573 l 251.956 636.66 l S 0 0 1 RG []0 d 349.781 709.577 m 349.898 709.723 l 349.985 709.898 l 350.102 710.044 l 350.335 710.394 l 350.423 710.54 l 350.539 710.715 l 350.656 710.86 l 350.773 711.006 l 350.86 711.181 l 350.977 711.327 l 351.094 711.502 l 351.327 711.794 l 351.415 711.969 l 351.765 712.406 l 351.852 712.581 l 352.202 713.019 l 352.29 713.165 l 352.64 713.602 l 352.727 713.748 l 353.194 714.331 l 353.281 714.477 l 353.515 714.769 l 353.631 714.885 l 353.719 715.031 l 353.952 715.323 l 354.069 715.44 l 354.156 715.586 l 354.273 715.731 l 354.39 715.848 l 354.506 715.994 l 354.594 716.14 l 354.71 716.256 l 354.827 716.402 l 354.944 716.519 l 355.06 716.665 l 355.148 716.781 l 355.265 716.927 l 355.381 717.044 l 355.498 717.161 l 355.585 717.306 l 355.702 717.423 l 355.819 717.54 l 355.935 717.685 l 356.023 717.802 l 356.256 718.036 l 356.373 718.152 l 356.46 718.269 l 356.577 718.415 l 356.81 718.648 l 356.927 718.765 l 357.015 718.881 l 357.131 718.998 l 357.248 719.115 l 357.365 719.231 l 357.452 719.348 l 357.569 719.435 l 357.685 719.552 l 357.802 719.669 l 357.89 719.785 l 358.006 719.902 l 358.123 719.99 l 358.24 720.106 l 358.327 720.223 l 358.444 720.31 l 358.677 720.544 l 358.794 720.631 l 358.881 720.748 l 358.998 720.835 l 359.115 720.952 l 359.231 721.04 l 359.319 721.156 l 359.435 721.244 l 359.552 721.36 l 359.669 721.448 l 359.756 721.535 l 359.873 721.652 l 360.106 721.827 l 360.31 722.031 l 360.66 722.294 l 338.902 690.415 m 339.019 690.648 l 339.135 690.852 l 339.223 691.056 l 339.34 691.29 l 339.573 691.698 l 339.69 691.931 l 339.777 692.135 l 339.894 692.369 l 340.127 692.777 l 340.215 692.981 l 340.331 693.214 l 340.565 693.623 l 340.652 693.827 l 340.769 694.06 l 341.002 694.469 l 341.09 694.673 l 341.206 694.877 l 341.323 695.11 l 341.556 695.519 l 341.644 695.723 l 341.994 696.335 l 342.081 696.54 l 342.431 697.152 l 342.519 697.356 l 342.869 697.969 l 342.956 698.173 l 343.306 698.785 l 343.423 698.96 l 343.51 699.165 l 343.86 699.777 l 343.948 699.952 l 344.181 700.36 l 344.298 700.535 l 344.385 700.74 l 344.502 700.944 l 344.619 701.119 l 344.735 701.323 l 344.823 701.527 l 344.94 701.702 l 345.056 701.906 l 345.173 702.081 l 345.26 702.285 l 345.377 702.46 l 345.494 702.665 l 345.61 702.84 l 345.727 703.044 l 345.815 703.219 l 345.931 703.423 l 346.165 703.773 l 346.252 703.977 l 346.485 704.327 l 346.602 704.531 l 346.69 704.706 l 346.923 705.056 l 347.04 705.26 l 347.127 705.435 l 347.594 706.135 l 347.681 706.31 l 347.915 706.66 l 348.031 706.864 l 348.119 707.039 l 348.235 707.185 l 348.469 707.535 l 348.556 707.71 l 348.906 708.235 l 348.994 708.41 l 349.11 708.556 l 349.227 708.731 l 349.344 708.906 l 349.46 709.081 l 349.548 709.227 l 349.781 709.577 l S 328.052 668.073 m 328.139 668.306 l 328.256 668.51 l 328.49 668.977 l 328.577 669.21 l 328.694 669.414 l 328.927 669.881 l 329.014 670.115 l 329.131 670.319 l 329.365 670.785 l 329.452 671.019 l 329.569 671.252 l 329.685 671.456 l 329.802 671.689 l 329.89 671.923 l 330.123 672.389 l 330.24 672.594 l 330.356 672.827 l 330.444 673.06 l 330.794 673.76 l 330.881 673.964 l 331.231 674.664 l 331.319 674.898 l 331.552 675.364 l 331.669 675.568 l 331.756 675.802 l 332.223 676.735 l 332.31 676.939 l 332.66 677.639 l 332.748 677.872 l 332.865 678.106 l 332.981 678.31 l 333.098 678.543 l 333.185 678.777 l 333.535 679.477 l 333.623 679.681 l 334.09 680.614 l 334.177 680.818 l 334.527 681.518 l 334.615 681.751 l 334.731 681.956 l 334.965 682.422 l 335.052 682.656 l 335.169 682.86 l 335.402 683.326 l 335.49 683.56 l 335.606 683.764 l 335.84 684.231 l 335.956 684.435 l 336.044 684.668 l 336.277 685.135 l 336.394 685.339 l 336.481 685.572 l 336.598 685.776 l 336.831 686.243 l 336.919 686.447 l 337.152 686.914 l 337.269 687.118 l 337.356 687.351 l 337.473 687.555 l 337.706 688.022 l 337.823 688.226 l 337.91 688.46 l 338.027 688.664 l 338.144 688.897 l 338.26 689.101 l 338.348 689.335 l 338.465 689.539 l 338.581 689.772 l 338.698 689.976 l 338.785 690.209 l 338.902 690.414 l 317.173 647.977 m 317.289 648.152 l 317.377 648.327 l 317.61 648.677 l 317.727 648.823 l 317.814 648.998 l 318.048 649.348 l 318.164 649.552 l 318.252 649.727 l 318.719 650.427 l 318.806 650.602 l 318.923 650.806 l 319.156 651.156 l 319.244 651.36 l 319.477 651.71 l 319.594 651.914 l 319.681 652.089 l 319.798 652.294 l 319.914 652.469 l 320.031 652.673 l 320.119 652.848 l 320.235 653.052 l 320.352 653.227 l 320.585 653.635 l 320.673 653.81 l 321.023 654.423 l 321.11 654.598 l 321.46 655.21 l 321.548 655.414 l 321.664 655.589 l 321.898 655.998 l 321.985 656.202 l 322.452 657.019 l 322.539 657.223 l 322.889 657.835 l 322.977 658.069 l 323.327 658.681 l 323.415 658.885 l 323.531 659.089 l 323.648 659.323 l 323.765 659.527 l 323.852 659.731 l 323.969 659.935 l 324.085 660.169 l 324.319 660.577 l 324.406 660.81 l 324.64 661.219 l 324.756 661.452 l 324.844 661.656 l 324.96 661.889 l 325.194 662.298 l 325.281 662.531 l 325.398 662.735 l 325.515 662.969 l 325.631 663.173 l 325.719 663.406 l 325.835 663.61 l 325.952 663.844 l 326.069 664.048 l 326.185 664.281 l 326.273 664.485 l 326.506 664.952 l 326.623 665.156 l 326.71 665.389 l 326.827 665.593 l 327.06 666.06 l 327.148 666.264 l 327.381 666.731 l 327.498 666.935 l 327.585 667.168 l 327.702 667.402 l 327.819 667.606 l 328.052 668.073 l S 306.294 636.806 m 306.41 636.865 l 306.527 636.923 l 306.615 636.981 l 306.731 637.01 l 306.848 637.069 l 306.965 637.127 l 307.081 637.185 l 307.169 637.244 l 307.402 637.36 l 307.519 637.448 l 307.606 637.506 l 307.723 637.565 l 307.84 637.623 l 307.956 637.71 l 308.044 637.769 l 308.16 637.827 l 308.277 637.914 l 308.394 637.973 l 308.481 638.06 l 308.598 638.148 l 308.715 638.206 l 308.831 638.294 l 308.948 638.381 l 309.035 638.469 l 309.152 638.556 l 309.269 638.644 l 309.385 638.702 l 309.59 638.906 l 309.823 639.081 l 309.91 639.169 l 310.027 639.256 l 310.144 639.344 l 310.465 639.664 l 310.581 639.752 l 310.698 639.869 l 310.814 639.956 l 310.902 640.073 l 311.019 640.16 l 311.135 640.277 l 311.252 640.393 l 311.34 640.51 l 311.456 640.598 l 311.573 640.714 l 311.689 640.831 l 311.777 640.948 l 312.127 641.298 l 312.215 641.414 l 312.331 641.531 l 312.448 641.677 l 312.681 641.91 l 312.769 642.027 l 312.885 642.173 l 313.002 642.289 l 313.119 642.435 l 313.206 642.552 l 313.323 642.698 l 313.439 642.814 l 313.556 642.96 l 313.644 643.077 l 313.76 643.223 l 313.994 643.514 l 314.081 643.631 l 314.431 644.068 l 314.519 644.214 l 314.985 644.798 l 315.073 644.944 l 315.306 645.235 l 315.423 645.41 l 315.51 645.556 l 315.627 645.702 l 315.744 645.877 l 315.86 646.023 l 315.948 646.169 l 316.064 646.344 l 316.181 646.489 l 316.298 646.664 l 316.385 646.81 l 316.619 647.16 l 316.735 647.306 l 316.852 647.481 l 316.939 647.656 l 317.056 647.802 l 317.173 647.977 l 295.444 636.019 m 302.677 636.019 l 302.794 636.048 l 303.348 636.048 l 303.435 636.077 l 303.669 636.077 l 303.785 636.106 l 303.873 636.106 l 304.106 636.165 l 304.223 636.165 l 304.31 636.194 l 304.427 636.223 l 304.544 636.252 l 304.66 636.252 l 304.748 636.281 l 305.098 636.369 l 305.215 636.427 l 305.302 636.456 l 305.535 636.515 l 305.652 636.573 l 305.74 636.602 l 305.856 636.631 l 305.973 636.69 l 306.09 636.719 l 306.177 636.777 l 306.294 636.806 l 284.565 636.019 m 295.444 636.019 l 273.685 636.019 m 284.565 636.019 l 262.835 636.019 m 273.685 636.019 l 251.956 636.019 m 262.835 636.019 l 251.198 636.019 m 251.956 636.019 l S 0 0.5 0 RG 349.781 640.219 m 349.898 640.131 l 349.985 640.044 l 350.102 639.985 l 350.219 639.898 l 350.335 639.84 l 350.423 639.752 l 350.539 639.694 l 350.656 639.606 l 350.773 639.548 l 350.86 639.46 l 350.977 639.402 l 351.094 639.315 l 351.21 639.256 l 351.327 639.198 l 351.415 639.11 l 351.531 639.052 l 351.648 638.994 l 351.765 638.906 l 351.852 638.848 l 351.969 638.79 l 352.085 638.731 l 352.202 638.673 l 352.29 638.585 l 352.406 638.527 l 352.64 638.41 l 352.727 638.352 l 353.077 638.177 l 353.194 638.119 l 353.281 638.06 l 353.398 638.002 l 353.515 637.973 l 353.631 637.915 l 353.719 637.856 l 353.835 637.798 l 353.952 637.74 l 354.069 637.711 l 354.156 637.652 l 354.273 637.594 l 354.39 637.565 l 354.506 637.506 l 354.594 637.448 l 354.71 637.419 l 354.827 637.361 l 354.944 637.331 l 355.06 637.273 l 355.148 637.244 l 355.265 637.186 l 355.381 637.156 l 355.498 637.098 l 355.585 637.069 l 355.702 637.04 l 355.819 636.981 l 355.935 636.952 l 356.023 636.923 l 356.14 636.865 l 356.373 636.806 l 356.46 636.777 l 356.694 636.719 l 356.81 636.661 l 356.927 636.631 l 357.015 636.602 l 357.131 636.573 l 357.365 636.515 l 357.452 636.486 l 357.569 636.486 l 357.802 636.427 l 357.89 636.398 l 358.006 636.369 l 358.123 636.34 l 358.24 636.34 l 358.327 636.311 l 358.444 636.281 l 358.56 636.281 l 358.794 636.223 l 358.881 636.223 l 358.998 636.194 l 359.115 636.194 l 359.231 636.165 l 359.319 636.165 l 359.435 636.136 l 359.552 636.136 l 359.669 636.106 l 359.873 636.106 l 359.99 636.077 l 360.194 636.077 l 360.31 636.048 l 360.66 636.048 l 338.902 650.806 m 339.019 650.66 l 339.135 650.544 l 339.223 650.398 l 339.34 650.281 l 339.456 650.135 l 339.573 650.019 l 339.69 649.902 l 339.777 649.756 l 339.894 649.64 l 340.01 649.523 l 340.127 649.377 l 340.215 649.26 l 340.331 649.144 l 340.448 648.998 l 340.565 648.881 l 340.652 648.765 l 340.769 648.619 l 340.885 648.502 l 341.002 648.385 l 341.09 648.269 l 341.206 648.152 l 341.323 648.006 l 341.556 647.773 l 341.644 647.656 l 341.877 647.423 l 341.994 647.306 l 342.081 647.19 l 342.198 647.044 l 342.315 646.927 l 342.431 646.81 l 342.519 646.694 l 342.635 646.577 l 342.752 646.46 l 342.956 646.256 l 343.073 646.14 l 343.306 645.906 l 343.423 645.79 l 343.51 645.673 l 343.627 645.556 l 343.744 645.44 l 343.86 645.352 l 343.948 645.236 l 344.065 645.119 l 344.181 645.002 l 344.298 644.915 l 344.385 644.798 l 344.502 644.681 l 344.619 644.565 l 344.735 644.477 l 344.823 644.361 l 344.94 644.273 l 345.056 644.156 l 345.173 644.04 l 345.26 643.952 l 345.377 643.836 l 345.494 643.748 l 345.61 643.631 l 345.727 643.544 l 345.815 643.427 l 345.931 643.34 l 346.048 643.223 l 346.165 643.135 l 346.252 643.048 l 346.369 642.931 l 346.485 642.844 l 346.602 642.756 l 346.69 642.64 l 346.806 642.552 l 347.04 642.377 l 347.127 642.26 l 347.477 641.998 l 347.594 641.91 l 347.798 641.706 l 348.031 641.531 l 348.119 641.444 l 348.235 641.356 l 348.469 641.181 l 348.556 641.123 l 348.673 641.035 l 348.79 640.948 l 348.906 640.86 l 348.994 640.773 l 349.11 640.685 l 349.227 640.598 l 349.344 640.54 l 349.46 640.452 l 349.548 640.365 l 349.665 640.277 l 349.781 640.219 l S 328.052 664.573 m 328.139 664.427 l 328.256 664.31 l 328.49 664.019 l 328.577 663.873 l 328.694 663.756 l 328.927 663.464 l 329.014 663.319 l 329.248 663.027 l 329.365 662.91 l 329.452 662.765 l 329.802 662.327 l 329.89 662.181 l 330.006 662.064 l 330.356 661.627 l 330.444 661.481 l 330.677 661.189 l 330.794 661.073 l 330.881 660.927 l 331.231 660.489 l 331.319 660.344 l 331.552 660.052 l 331.669 659.935 l 331.756 659.789 l 332.223 659.206 l 332.31 659.06 l 332.427 658.914 l 332.544 658.798 l 332.66 658.652 l 332.748 658.506 l 333.098 658.068 l 333.185 657.923 l 333.302 657.806 l 333.535 657.514 l 333.623 657.368 l 333.973 656.931 l 334.09 656.814 l 334.177 656.668 l 334.527 656.231 l 334.615 656.085 l 334.731 655.968 l 334.965 655.677 l 335.052 655.531 l 335.169 655.385 l 335.285 655.268 l 335.402 655.123 l 335.49 654.977 l 335.606 654.831 l 335.723 654.714 l 335.956 654.423 l 336.044 654.277 l 336.16 654.16 l 336.394 653.868 l 336.481 653.752 l 336.598 653.606 l 336.715 653.46 l 336.831 653.343 l 336.919 653.198 l 337.035 653.052 l 337.152 652.935 l 337.269 652.789 l 337.356 652.643 l 337.473 652.527 l 337.59 652.381 l 337.706 652.264 l 337.823 652.118 l 337.91 651.973 l 338.027 651.856 l 338.144 651.71 l 338.26 651.593 l 338.348 651.448 l 338.465 651.331 l 338.581 651.185 l 338.698 651.068 l 338.785 650.922 l 338.902 650.806 l 317.173 676.094 m 317.289 676.006 l 317.377 675.948 l 317.61 675.773 l 317.727 675.685 l 317.814 675.598 l 317.931 675.51 l 318.164 675.335 l 318.252 675.219 l 318.369 675.131 l 318.485 675.044 l 318.602 674.956 l 318.719 674.869 l 318.806 674.752 l 319.156 674.489 l 319.244 674.373 l 319.36 674.285 l 319.477 674.169 l 319.594 674.081 l 319.681 673.964 l 319.798 673.877 l 319.914 673.76 l 320.031 673.673 l 320.119 673.556 l 320.235 673.469 l 320.352 673.352 l 320.469 673.235 l 320.585 673.148 l 320.673 673.031 l 320.789 672.914 l 320.906 672.827 l 321.023 672.71 l 321.11 672.594 l 321.344 672.36 l 321.46 672.244 l 321.664 672.039 l 321.898 671.806 l 321.985 671.689 l 322.219 671.456 l 322.452 671.223 l 322.539 671.106 l 322.656 670.99 l 322.773 670.844 l 322.889 670.727 l 322.977 670.61 l 323.094 670.494 l 323.327 670.26 l 323.415 670.115 l 323.648 669.881 l 323.765 669.765 l 323.852 669.619 l 323.969 669.502 l 324.085 669.385 l 324.202 669.24 l 324.319 669.123 l 324.406 669.006 l 324.523 668.86 l 324.64 668.744 l 324.756 668.598 l 324.844 668.481 l 324.96 668.365 l 325.077 668.219 l 325.194 668.102 l 325.281 667.956 l 325.398 667.84 l 325.515 667.694 l 325.631 667.577 l 325.719 667.431 l 325.835 667.285 l 325.952 667.169 l 326.069 667.023 l 326.185 666.906 l 326.273 666.76 l 326.39 666.644 l 326.506 666.498 l 326.623 666.352 l 326.71 666.235 l 326.944 665.944 l 327.06 665.827 l 327.148 665.681 l 327.265 665.535 l 327.381 665.419 l 327.498 665.273 l 327.585 665.127 l 327.702 664.981 l 327.819 664.865 l 328.052 664.573 l S 306.294 678.69 m 306.41 678.748 l 306.527 678.777 l 306.615 678.806 l 307.081 678.923 l 307.169 678.952 l 307.519 679.04 l 307.606 679.069 l 307.723 679.069 l 307.956 679.127 l 308.044 679.127 l 308.16 679.156 l 308.277 679.156 l 308.394 679.186 l 308.598 679.186 l 308.715 679.215 l 309.91 679.215 l 310.027 679.186 l 310.26 679.186 l 310.348 679.156 l 310.465 679.156 l 310.581 679.127 l 310.698 679.127 l 310.814 679.098 l 310.902 679.098 l 311.019 679.069 l 311.135 679.04 l 311.252 679.04 l 311.34 679.01 l 311.456 678.981 l 311.573 678.952 l 311.689 678.923 l 311.777 678.894 l 311.894 678.865 l 312.01 678.835 l 312.127 678.806 l 312.215 678.777 l 312.331 678.748 l 312.448 678.69 l 312.681 678.631 l 312.769 678.573 l 312.885 678.544 l 313.002 678.515 l 313.119 678.456 l 313.206 678.427 l 313.323 678.369 l 313.439 678.31 l 313.556 678.281 l 313.644 678.223 l 313.76 678.164 l 313.877 678.135 l 313.994 678.077 l 314.081 678.019 l 314.198 677.96 l 314.431 677.844 l 314.519 677.785 l 314.635 677.727 l 314.752 677.669 l 314.985 677.552 l 315.073 677.494 l 315.189 677.435 l 315.306 677.377 l 315.423 677.289 l 315.51 677.231 l 315.627 677.173 l 315.744 677.085 l 315.86 677.027 l 315.948 676.939 l 316.064 676.881 l 316.181 676.794 l 316.298 676.735 l 316.385 676.648 l 316.502 676.589 l 316.735 676.414 l 316.852 676.356 l 316.939 676.269 l 317.056 676.181 l 317.173 676.094 l 295.444 667.869 m 295.531 668.044 l 295.881 668.569 l 295.969 668.744 l 296.085 668.919 l 296.202 669.064 l 296.319 669.24 l 296.406 669.414 l 296.523 669.56 l 296.639 669.735 l 296.756 669.881 l 296.844 670.056 l 296.96 670.202 l 297.077 670.377 l 297.31 670.669 l 297.398 670.844 l 297.748 671.281 l 297.835 671.427 l 297.952 671.573 l 298.069 671.719 l 298.185 671.865 l 298.273 672.01 l 298.623 672.448 l 298.71 672.565 l 298.827 672.71 l 298.944 672.856 l 299.06 672.973 l 299.148 673.119 l 299.264 673.235 l 299.381 673.381 l 299.498 673.498 l 299.615 673.644 l 299.702 673.76 l 299.819 673.877 l 299.935 674.023 l 300.052 674.14 l 300.139 674.256 l 300.373 674.49 l 300.49 674.606 l 300.577 674.723 l 300.694 674.839 l 300.81 674.956 l 300.927 675.044 l 301.014 675.16 l 301.131 675.277 l 301.248 675.365 l 301.481 675.598 l 301.685 675.802 l 301.802 675.89 l 301.919 675.977 l 302.006 676.094 l 302.356 676.356 l 302.444 676.444 l 302.56 676.531 l 302.677 676.619 l 302.794 676.706 l 302.881 676.794 l 303.231 677.056 l 303.348 677.115 l 303.435 677.202 l 303.552 677.29 l 303.669 677.348 l 303.785 677.435 l 303.873 677.494 l 303.99 677.581 l 304.223 677.698 l 304.31 677.756 l 304.427 677.844 l 304.544 677.902 l 304.66 677.96 l 304.748 678.019 l 304.865 678.077 l 304.981 678.135 l 305.098 678.194 l 305.215 678.252 l 305.302 678.281 l 305.535 678.398 l 305.652 678.427 l 305.74 678.485 l 305.856 678.544 l 305.973 678.573 l 306.09 678.631 l 306.177 678.661 l 306.294 678.69 l S 284.565 647.831 m 284.681 648.035 l 284.769 648.24 l 285.119 648.852 l 285.206 649.056 l 285.556 649.669 l 285.644 649.873 l 286.11 650.69 l 286.198 650.894 l 286.315 651.098 l 286.431 651.331 l 286.548 651.535 l 286.635 651.74 l 286.869 652.148 l 286.985 652.381 l 287.073 652.585 l 287.306 652.994 l 287.423 653.227 l 287.51 653.431 l 287.627 653.635 l 287.744 653.869 l 287.977 654.277 l 288.065 654.481 l 288.181 654.715 l 288.415 655.123 l 288.502 655.356 l 288.735 655.765 l 288.852 655.998 l 288.94 656.202 l 289.173 656.61 l 289.29 656.844 l 289.377 657.048 l 289.61 657.456 l 289.727 657.69 l 289.844 657.894 l 289.931 658.098 l 290.048 658.302 l 290.165 658.535 l 290.281 658.74 l 290.369 658.944 l 290.719 659.556 l 290.806 659.79 l 291.156 660.402 l 291.244 660.606 l 291.71 661.423 l 291.798 661.627 l 292.148 662.24 l 292.235 662.415 l 292.585 663.027 l 292.673 663.231 l 292.79 663.406 l 293.023 663.815 l 293.11 664.019 l 293.227 664.194 l 293.344 664.398 l 293.46 664.573 l 293.577 664.777 l 293.665 664.952 l 293.781 665.156 l 293.898 665.331 l 294.015 665.535 l 294.102 665.71 l 294.219 665.915 l 294.452 666.265 l 294.54 666.469 l 294.89 666.994 l 294.977 667.169 l 295.444 667.869 l 273.685 636.048 m 273.802 636.048 l 273.919 636.077 l 274.006 636.077 l 274.24 636.135 l 274.356 636.135 l 274.473 636.165 l 274.56 636.194 l 274.677 636.223 l 274.794 636.252 l 274.91 636.31 l 274.998 636.34 l 275.115 636.369 l 275.231 636.427 l 275.348 636.456 l 275.435 636.515 l 275.552 636.573 l 275.669 636.602 l 275.785 636.66 l 275.873 636.719 l 275.99 636.777 l 276.106 636.865 l 276.223 636.923 l 276.34 636.981 l 276.427 637.069 l 276.544 637.127 l 276.66 637.214 l 276.777 637.273 l 276.865 637.36 l 276.981 637.448 l 277.098 637.535 l 277.215 637.623 l 277.302 637.71 l 277.535 637.885 l 277.652 638.002 l 277.74 638.089 l 277.856 638.177 l 277.973 638.294 l 278.09 638.41 l 278.206 638.498 l 278.294 638.614 l 278.41 638.731 l 278.644 638.964 l 278.731 639.081 l 278.965 639.314 l 279.081 639.46 l 279.169 639.577 l 279.285 639.694 l 279.402 639.839 l 279.519 639.956 l 279.606 640.102 l 279.84 640.394 l 279.956 640.51 l 280.073 640.656 l 280.16 640.802 l 280.51 641.239 l 280.598 641.414 l 280.831 641.706 l 280.948 641.881 l 281.035 642.027 l 281.152 642.202 l 281.269 642.348 l 281.385 642.523 l 281.473 642.669 l 281.94 643.369 l 282.027 643.514 l 282.26 643.864 l 282.377 644.069 l 282.465 644.244 l 282.815 644.768 l 282.902 644.943 l 283.019 645.148 l 283.135 645.323 l 283.252 645.527 l 283.34 645.702 l 283.456 645.877 l 283.69 646.285 l 283.777 646.46 l 283.894 646.664 l 284.01 646.839 l 284.244 647.248 l 284.331 647.452 l 284.448 647.627 l 284.565 647.831 l S 262.835 636.019 m 273.248 636.019 l 273.365 636.048 l 273.685 636.048 l 251.956 636.019 m 262.835 636.019 l 251.198 636.019 m 251.956 636.019 l S 1 0 0 RG 349.781 636.019 m 360.66 636.019 l 338.902 636.019 m 349.781 636.019 l 328.052 636.019 m 338.902 636.019 l 317.173 636.019 m 328.052 636.019 l 306.294 636.019 m 317.173 636.019 l 295.444 639.081 m 295.531 638.994 l 295.648 638.906 l 295.881 638.731 l 295.969 638.644 l 296.085 638.556 l 296.202 638.498 l 296.319 638.41 l 296.406 638.323 l 296.523 638.265 l 296.639 638.177 l 296.756 638.09 l 296.844 638.031 l 296.96 637.944 l 297.077 637.885 l 297.194 637.827 l 297.31 637.74 l 297.398 637.681 l 297.514 637.623 l 297.631 637.535 l 297.748 637.477 l 297.835 637.419 l 298.069 637.302 l 298.185 637.244 l 298.273 637.185 l 298.389 637.127 l 298.623 637.01 l 298.71 636.981 l 298.827 636.923 l 298.944 636.865 l 299.06 636.836 l 299.148 636.777 l 299.264 636.748 l 299.381 636.69 l 299.498 636.661 l 299.615 636.602 l 299.702 636.573 l 299.819 636.544 l 299.935 636.486 l 300.052 636.456 l 300.139 636.427 l 300.256 636.398 l 300.49 636.34 l 300.577 636.311 l 300.927 636.223 l 301.014 636.194 l 301.131 636.194 l 301.248 636.165 l 301.365 636.136 l 301.481 636.136 l 301.569 636.106 l 301.685 636.106 l 301.802 636.077 l 301.919 636.077 l 302.006 636.048 l 302.677 636.048 l 302.794 636.019 l 306.294 636.019 l 284.565 650.544 m 284.681 650.427 l 284.769 650.34 l 284.885 650.223 l 285.002 650.106 l 285.119 649.99 l 285.206 649.873 l 285.323 649.756 l 285.556 649.523 l 285.644 649.377 l 285.76 649.26 l 285.877 649.144 l 285.994 649.027 l 286.11 648.91 l 286.198 648.794 l 286.315 648.677 l 286.431 648.531 l 286.548 648.415 l 286.635 648.298 l 286.752 648.181 l 286.869 648.035 l 286.985 647.919 l 287.073 647.802 l 287.19 647.685 l 287.306 647.54 l 287.423 647.423 l 287.51 647.306 l 287.627 647.16 l 287.744 647.044 l 287.86 646.927 l 287.977 646.781 l 288.065 646.665 l 288.181 646.548 l 288.298 646.402 l 288.415 646.286 l 288.502 646.169 l 288.619 646.023 l 288.735 645.906 l 288.852 645.79 l 288.94 645.644 l 289.173 645.411 l 289.29 645.265 l 289.377 645.148 l 289.494 645.031 l 289.61 644.915 l 289.727 644.769 l 289.844 644.652 l 289.931 644.536 l 290.048 644.39 l 290.165 644.273 l 290.281 644.156 l 290.369 644.04 l 290.485 643.923 l 290.602 643.777 l 290.719 643.661 l 290.806 643.544 l 290.923 643.427 l 291.04 643.311 l 291.156 643.194 l 291.244 643.077 l 291.36 642.961 l 291.477 642.815 l 291.594 642.698 l 291.71 642.581 l 291.798 642.465 l 291.915 642.348 l 292.031 642.261 l 292.148 642.144 l 292.235 642.027 l 292.352 641.911 l 292.469 641.794 l 292.585 641.677 l 292.673 641.561 l 292.79 641.473 l 292.906 641.357 l 293.023 641.24 l 293.11 641.123 l 293.227 641.036 l 293.46 640.802 l 293.577 640.715 l 293.665 640.598 l 293.781 640.511 l 293.898 640.394 l 294.015 640.307 l 294.102 640.19 l 294.219 640.102 l 294.335 640.015 l 294.54 639.811 l 294.656 639.723 l 294.773 639.607 l 294.89 639.519 l 294.977 639.432 l 295.094 639.344 l 295.21 639.257 l 295.327 639.169 l 295.444 639.082 l S 273.685 653.781 m 273.802 653.84 l 273.919 653.927 l 274.006 653.985 l 274.123 654.073 l 274.473 654.248 l 274.56 654.306 l 274.677 654.365 l 274.794 654.423 l 274.91 654.481 l 274.998 654.54 l 275.115 654.569 l 275.231 654.627 l 275.348 654.656 l 275.435 654.685 l 275.552 654.744 l 275.785 654.802 l 275.873 654.831 l 276.106 654.89 l 276.223 654.89 l 276.34 654.919 l 276.427 654.919 l 276.544 654.948 l 276.66 654.948 l 276.777 654.977 l 277.419 654.977 l 277.535 654.948 l 277.74 654.948 l 277.856 654.919 l 277.973 654.919 l 278.09 654.89 l 278.206 654.86 l 278.294 654.831 l 278.41 654.802 l 278.527 654.802 l 278.644 654.744 l 278.731 654.715 l 279.081 654.627 l 279.169 654.569 l 279.285 654.54 l 279.402 654.481 l 279.519 654.452 l 279.606 654.394 l 279.723 654.335 l 279.84 654.277 l 279.956 654.248 l 280.073 654.19 l 280.16 654.131 l 280.277 654.073 l 280.394 653.985 l 280.51 653.927 l 280.598 653.869 l 280.715 653.81 l 280.831 653.723 l 280.948 653.665 l 281.035 653.606 l 281.269 653.431 l 281.385 653.373 l 281.473 653.285 l 281.59 653.198 l 281.706 653.14 l 281.94 652.964 l 282.027 652.877 l 282.144 652.789 l 282.26 652.702 l 282.377 652.614 l 282.465 652.527 l 282.581 652.41 l 282.815 652.235 l 283.019 652.031 l 283.135 651.944 l 283.456 651.623 l 283.573 651.535 l 283.69 651.419 l 283.777 651.331 l 284.01 651.098 l 284.127 651.01 l 284.244 650.894 l 284.331 650.777 l 284.448 650.66 l 284.565 650.544 l 262.835 638.76 m 262.923 638.877 l 263.273 639.315 l 263.36 639.46 l 263.71 639.898 l 263.798 640.073 l 263.914 640.219 l 264.031 640.394 l 264.148 640.54 l 264.235 640.715 l 264.352 640.86 l 264.702 641.385 l 264.789 641.56 l 265.139 642.085 l 265.227 642.26 l 265.344 642.435 l 265.46 642.61 l 265.577 642.785 l 265.665 642.96 l 265.781 643.135 l 265.898 643.31 l 266.015 643.515 l 266.102 643.69 l 266.335 644.04 l 266.452 644.244 l 266.569 644.419 l 266.656 644.594 l 266.773 644.769 l 266.89 644.973 l 267.006 645.148 l 267.094 645.323 l 267.327 645.673 l 267.444 645.877 l 267.531 646.052 l 267.881 646.577 l 267.969 646.752 l 268.319 647.277 l 268.406 647.452 l 268.873 648.152 l 268.96 648.327 l 269.077 648.473 l 269.31 648.823 l 269.398 648.969 l 269.515 649.143 l 269.631 649.289 l 269.748 649.464 l 269.835 649.61 l 269.952 649.756 l 270.069 649.931 l 270.185 650.077 l 270.273 650.223 l 270.74 650.806 l 270.827 650.923 l 271.06 651.214 l 271.177 651.331 l 271.265 651.477 l 271.381 651.594 l 271.498 651.739 l 271.615 651.856 l 271.702 651.973 l 271.819 652.089 l 271.935 652.206 l 272.052 652.323 l 272.14 652.439 l 272.256 652.556 l 272.373 652.673 l 272.49 652.76 l 272.694 652.964 l 272.81 653.081 l 272.927 653.169 l 273.044 653.256 l 273.131 653.344 l 273.481 653.606 l 273.569 653.694 l 273.685 653.781 l S 251.956 636.019 m 258.548 636.019 l 258.635 636.048 l 258.985 636.048 l 259.102 636.077 l 259.19 636.077 l 259.54 636.165 l 259.627 636.194 l 259.744 636.252 l 259.977 636.31 l 260.065 636.369 l 260.181 636.427 l 260.415 636.544 l 260.502 636.602 l 260.619 636.66 l 260.735 636.748 l 260.852 636.806 l 260.969 636.894 l 261.056 636.981 l 261.173 637.069 l 261.29 637.156 l 261.406 637.244 l 261.494 637.331 l 261.61 637.448 l 261.727 637.535 l 261.844 637.652 l 261.931 637.769 l 262.048 637.885 l 262.165 638.002 l 262.281 638.119 l 262.369 638.235 l 262.485 638.352 l 262.602 638.498 l 262.719 638.614 l 262.835 638.76 l 251.198 636.019 m 251.956 636.019 l S 0 0.75 0.75 RG 349.781 636.019 m 360.66 636.019 l 338.902 636.019 m 349.781 636.019 l 328.052 636.019 m 338.902 636.019 l 317.173 636.019 m 328.052 636.019 l 306.294 636.019 m 317.173 636.019 l 295.444 636.019 m 306.294 636.019 l 284.565 636.019 m 295.444 636.019 l 273.685 636.019 m 284.565 636.019 l 262.835 642.523 m 262.923 642.465 l 263.039 642.406 l 263.156 642.348 l 263.273 642.29 l 263.36 642.231 l 263.477 642.173 l 263.594 642.115 l 263.71 642.027 l 263.798 641.969 l 263.914 641.91 l 264.031 641.823 l 264.148 641.765 l 264.235 641.677 l 264.352 641.59 l 264.469 641.531 l 264.702 641.356 l 264.789 641.269 l 264.906 641.181 l 265.139 641.006 l 265.227 640.919 l 265.344 640.831 l 265.577 640.656 l 265.665 640.54 l 265.781 640.452 l 265.898 640.365 l 266.015 640.277 l 266.102 640.16 l 266.219 640.073 l 266.335 639.985 l 266.452 639.898 l 266.569 639.781 l 266.656 639.694 l 266.773 639.606 l 266.89 639.49 l 267.006 639.402 l 267.094 639.315 l 267.21 639.227 l 267.327 639.111 l 267.444 639.023 l 267.531 638.936 l 267.648 638.848 l 267.765 638.761 l 267.881 638.644 l 267.969 638.556 l 268.085 638.469 l 268.319 638.294 l 268.406 638.206 l 268.523 638.119 l 268.64 638.031 l 268.756 637.944 l 268.873 637.856 l 268.96 637.798 l 269.077 637.711 l 269.31 637.536 l 269.398 637.477 l 269.515 637.39 l 269.631 637.331 l 269.748 637.244 l 269.835 637.186 l 269.952 637.127 l 270.069 637.04 l 270.185 636.981 l 270.273 636.923 l 270.39 636.865 l 270.506 636.807 l 270.74 636.69 l 270.827 636.631 l 270.944 636.573 l 271.06 636.544 l 271.177 636.486 l 271.265 636.457 l 271.381 636.398 l 271.615 636.34 l 271.702 636.281 l 271.819 636.252 l 271.935 636.223 l 272.052 636.194 l 272.14 636.165 l 272.256 636.136 l 272.373 636.136 l 272.49 636.107 l 272.606 636.077 l 272.694 636.077 l 272.81 636.048 l 273.248 636.048 l 273.365 636.019 l 273.685 636.019 l 251.956 636.077 m 252.073 636.077 l 252.16 636.106 l 252.277 636.135 l 252.394 636.135 l 252.51 636.165 l 252.598 636.223 l 252.715 636.252 l 252.831 636.31 l 252.948 636.34 l 253.035 636.398 l 253.152 636.456 l 253.385 636.573 l 253.502 636.66 l 253.59 636.719 l 253.706 636.806 l 253.94 636.981 l 254.144 637.185 l 254.26 637.273 l 254.377 637.389 l 254.465 637.477 l 254.581 637.594 l 254.698 637.71 l 254.815 637.827 l 254.902 637.944 l 255.019 638.06 l 255.252 638.294 l 255.369 638.439 l 255.456 638.556 l 255.573 638.673 l 255.69 638.819 l 255.806 638.935 l 255.894 639.081 l 256.01 639.198 l 256.127 639.344 l 256.244 639.46 l 256.331 639.606 l 256.448 639.723 l 256.565 639.839 l 256.681 639.985 l 256.769 640.102 l 256.885 640.219 l 257.002 640.364 l 257.119 640.481 l 257.235 640.598 l 257.323 640.714 l 257.44 640.831 l 257.556 640.948 l 257.673 641.064 l 257.76 641.181 l 257.877 641.269 l 257.994 641.385 l 258.11 641.473 l 258.198 641.589 l 258.315 641.677 l 258.431 641.764 l 258.548 641.852 l 258.635 641.939 l 258.752 642.027 l 258.869 642.085 l 259.102 642.26 l 259.19 642.319 l 259.306 642.377 l 259.423 642.435 l 259.54 642.494 l 259.627 642.552 l 259.744 642.61 l 259.86 642.639 l 259.977 642.698 l 260.065 642.727 l 260.415 642.814 l 260.502 642.844 l 260.619 642.873 l 260.852 642.873 l 260.969 642.902 l 261.406 642.902 l 261.494 642.873 l 261.61 642.873 l 261.727 642.844 l 261.844 642.844 l 261.931 642.814 l 262.281 642.727 l 262.369 642.698 l 262.485 642.639 l 262.602 642.61 l 262.719 642.552 l 262.835 642.523 l S 251.198 636.048 m 251.84 636.048 l 251.956 636.077 l S 0.75 0 0.75 RG 349.781 636.019 m 360.66 636.019 l 338.902 636.019 m 349.781 636.019 l 328.052 636.019 m 338.902 636.019 l 317.173 636.019 m 328.052 636.019 l 306.294 636.019 m 317.173 636.019 l 295.444 636.019 m 306.294 636.019 l 284.565 636.019 m 295.444 636.019 l 273.685 636.019 m 284.565 636.019 l 262.835 636.019 m 273.685 636.019 l 251.956 636.631 m 252.073 636.69 l 252.16 636.777 l 252.277 636.835 l 252.51 636.952 l 252.598 637.01 l 252.715 637.04 l 252.831 637.098 l 252.948 637.127 l 253.035 637.156 l 253.152 637.185 l 253.269 637.214 l 253.385 637.244 l 253.502 637.244 l 253.59 637.273 l 254.027 637.273 l 254.144 637.244 l 254.26 637.244 l 254.377 637.214 l 254.465 637.214 l 254.581 637.185 l 254.815 637.127 l 254.902 637.098 l 255.019 637.069 l 255.135 637.01 l 255.369 636.952 l 255.456 636.894 l 255.69 636.835 l 255.806 636.777 l 255.894 636.748 l 256.01 636.69 l 256.127 636.66 l 256.244 636.602 l 256.331 636.573 l 256.448 636.515 l 256.565 636.485 l 256.681 636.427 l 256.769 636.398 l 256.885 636.369 l 257.002 636.31 l 257.235 636.252 l 257.323 636.223 l 257.673 636.135 l 257.76 636.106 l 257.877 636.106 l 257.994 636.077 l 258.11 636.048 l 258.548 636.048 l 258.635 636.019 l 262.835 636.019 l 251.198 636.048 m 251.285 636.135 l 251.402 636.223 l 251.635 636.398 l 251.723 636.485 l 251.84 636.544 l 251.956 636.631 l S Q BT /TT4 1 Tf 9.9626 0 0 9.9626 108 617.025 Tm 0 g 0 Tc 0 Tw [(Fig.)-335.2(2:)-480.6(Example)-337(b)19.9(ump)-336.1(functions,)-357.7(used)-336.1(for)-334.2(linear)-336.1(parameterization)-337(of)-335.2(estimators)-335.2(in)-335.2(Figs.)-334.3(3\(a\))-336.1(and)]TJ 0 -1.1003 TD (3\(b\).)Tj ET q 115.586 500.257 119 93.275 re W n 1 g 115.586 593.532 119 -93.275 re f Q 1 g 130.007 589.747 99.966 -77.254 re f* 1 G 0 J 1 j 0.16 w 10 M []0 d 130.007 512.493 m 130.007 589.747 l 229.974 589.747 l 229.974 512.493 l 130.007 512.493 l S 0 G 130.007 512.493 m 229.974 512.493 l 130.007 512.493 m 130.007 589.747 l 130.007 512.493 m 130.007 512.999 l 130.007 512.493 m 130.007 513.506 l S BT /TT11 1 Tf 4.4785 0 0 4.4785 126.7019 506.0414 Tm 0 g (10)Tj 2.9857 0 0 2.9857 131.6602 508.8138 Tm (2)Tj ET 140.031 512.493 m 140.031 512.999 l 145.895 512.493 m 145.895 512.999 l 150.054 512.493 m 150.054 512.999 l 153.28 512.493 m 153.28 512.999 l 155.919 512.493 m 155.919 512.999 l 158.158 512.493 m 158.158 512.999 l 160.077 512.493 m 160.077 512.999 l 161.783 512.493 m 161.783 512.999 l 163.33 512.493 m 163.33 512.999 l 163.33 512.493 m 163.33 513.506 l S BT 4.4785 0 0 4.4785 160.024 506.0414 Tm (10)Tj 2.9857 0 0 2.9857 164.9824 508.8138 Tm (3)Tj ET 173.353 512.493 m 173.353 512.999 l 179.218 512.493 m 179.218 512.999 l 183.376 512.493 m 183.376 512.999 l 186.602 512.493 m 186.602 512.999 l 189.241 512.493 m 189.241 512.999 l 191.48 512.493 m 191.48 512.999 l 193.399 512.493 m 193.399 512.999 l 195.106 512.493 m 195.106 512.999 l 196.652 512.493 m 196.652 512.999 l 196.652 512.493 m 196.652 513.506 l S BT 4.4785 0 0 4.4785 193.3462 506.0414 Tm (10)Tj 2.9857 0 0 2.9857 198.3045 508.8138 Tm (4)Tj ET 206.675 512.493 m 206.675 512.999 l 212.54 512.493 m 212.54 512.999 l 216.698 512.493 m 216.698 512.999 l 219.924 512.493 m 219.924 512.999 l 222.563 512.493 m 222.563 512.999 l 224.802 512.493 m 224.802 512.999 l 226.722 512.493 m 226.722 512.999 l 228.428 512.493 m 228.428 512.999 l 229.974 512.493 m 229.974 512.999 l 229.974 512.493 m 229.974 513.506 l S BT 4.4785 0 0 4.4785 226.6683 506.0414 Tm (10)Tj 2.9857 0 0 2.9857 231.6266 508.8138 Tm (5)Tj ET 130.007 512.493 m 130.994 512.493 l S BT 4.4785 0 0 4.4785 126.5952 510.8398 Tm (0)Tj ET 130.007 525.368 m 130.994 525.368 l S BT 4.4785 0 0 4.4785 122.8632 523.7155 Tm (0.5)Tj ET 130.007 538.244 m 130.994 538.244 l S BT 4.4785 0 0 4.4785 126.5952 536.5911 Tm (1)Tj ET 130.007 551.12 m 130.994 551.12 l S BT 4.4785 0 0 4.4785 122.8632 549.4668 Tm (1.5)Tj ET 130.007 563.995 m 130.994 563.995 l S BT 4.4785 0 0 4.4785 126.5952 562.3425 Tm (2)Tj ET 130.007 576.871 m 130.994 576.871 l S BT 4.4785 0 0 4.4785 122.8632 575.2181 Tm (2.5)Tj ET 130.007 589.747 m 130.994 589.747 l S BT 4.4785 0 0 4.4785 126.5952 588.0938 Tm (3)Tj ET 0.9 g 130.007 583.455 m 134.966 582.016 l 140.031 580.256 l 144.989 577.991 l 149.974 577.137 l 154.986 576.631 l 159.971 575.351 l 164.982 574.845 l 169.994 574.178 l 174.979 573.379 l 179.964 572.979 l 184.976 572.712 l 189.987 572.472 l 194.972 572.046 l 199.957 571.833 l 204.969 571.646 l 209.981 571.433 l 214.966 571.246 l 219.977 571.06 l 224.962 570.953 l 229.974 570.846 l 229.974 569.967 l 224.962 569.86 l 219.977 569.78 l 214.966 569.753 l 209.981 569.62 l 204.969 569.407 l 199.957 569.273 l 194.972 569.087 l 189.987 568.874 l 184.976 568.527 l 179.964 568.074 l 174.979 567.647 l 169.994 567.194 l 164.982 566.234 l 159.971 565.355 l 154.986 564.129 l 149.974 563.169 l 144.989 562.422 l 140.031 559.623 l 134.966 557.651 l 130.007 554.585 l f* 0.6 g 130.007 585.295 m 134.966 583.855 l 140.031 581.909 l 144.989 579.617 l 149.974 578.737 l 154.986 578.017 l 159.971 576.684 l 164.982 576.098 l 169.994 575.405 l 174.979 574.578 l 179.964 574.178 l 184.976 574.019 l 189.987 573.699 l 194.972 573.325 l 199.957 573.139 l 204.969 572.952 l 209.981 572.792 l 214.966 572.632 l 219.977 572.499 l 224.962 572.392 l 229.974 572.339 l 229.974 571.486 l 224.962 571.379 l 219.977 571.273 l 214.966 571.219 l 209.981 571.033 l 204.969 570.793 l 199.957 570.66 l 194.972 570.446 l 189.987 570.26 l 184.976 569.833 l 179.964 569.46 l 174.979 569.034 l 169.994 568.554 l 164.982 567.701 l 159.971 566.928 l 154.986 565.968 l 149.974 565.088 l 144.989 564.395 l 140.031 562.129 l 134.966 560.236 l 130.007 557.624 l f* q 130.007 512.466 99.993 77.281 re W n 1 G 0.64 w 130.007 571.459 m 134.966 572.046 l 140.031 572.019 l 144.989 571.993 l 149.974 571.913 l 154.986 571.993 l 159.971 571.806 l 164.982 571.886 l 169.994 571.992 l 174.979 571.806 l 179.964 571.806 l 184.976 571.913 l 189.987 571.992 l 194.972 571.886 l 204.969 571.886 l 209.981 571.913 l 214.966 571.913 l 219.977 571.886 l 224.962 571.886 l 229.974 571.913 l S 0 G [1.919 ]0 d 130.007 569.034 m 134.966 569.833 l 140.031 569.94 l 144.989 570.206 l 149.974 570.153 l 154.986 570.393 l 159.971 570.366 l 164.982 570.526 l 169.994 570.686 l 174.979 570.5 l 179.964 570.526 l 189.987 570.686 l 194.972 570.553 l 199.957 570.553 l 204.969 570.526 l 209.981 570.526 l 214.966 570.5 l 219.977 570.42 l 229.974 570.42 l S Q BT 4.4785 0 0 4.4785 169.7541 501.2963 Tm 0 g (# samples)Tj 0 4.4785 -4.4785 0 120.4107 532.8857 Tm (SNR improvement)Tj ET q 246.59 500.257 119.08 93.275 re W n 1 g 246.59 593.532 119.08 -93.275 re f Q 1 g 261.011 589.747 100.046 -77.254 re f* 1 G 261.011 512.493 m 261.011 589.747 l 361.058 589.747 l 361.058 512.493 l 261.011 512.493 l S 0 G 261.011 512.493 m 361.058 512.493 l 261.011 512.493 m 261.011 589.747 l 261.011 512.493 m 261.011 512.999 l 261.011 512.493 m 261.011 513.506 l S BT 4.4785 0 0 4.4785 257.7059 506.0414 Tm 0 g (10)Tj 2.9857 0 0 2.9857 262.6642 508.8138 Tm (2)Tj ET 271.035 512.493 m 271.035 512.999 l 276.899 512.493 m 276.899 512.999 l 281.085 512.493 m 281.085 512.999 l 284.31 512.493 m 284.31 512.999 l 286.949 512.493 m 286.949 512.999 l 289.189 512.493 m 289.189 512.999 l 291.108 512.493 m 291.108 512.999 l 292.814 512.493 m 292.814 512.999 l 294.36 512.493 m 294.36 512.999 l 294.36 512.493 m 294.36 513.506 l S BT 4.4785 0 0 4.4785 291.0547 506.0414 Tm (10)Tj 2.9857 0 0 2.9857 296.013 508.8138 Tm (3)Tj ET 304.384 512.493 m 304.384 512.999 l 310.248 512.493 m 310.248 512.999 l 314.433 512.493 m 314.433 512.999 l 317.659 512.493 m 317.659 512.999 l 320.298 512.493 m 320.298 512.999 l 322.537 512.493 m 322.537 512.999 l 324.457 512.493 m 324.457 512.999 l 326.163 512.493 m 326.163 512.999 l 327.709 512.493 m 327.709 512.999 l 327.709 512.493 m 327.709 513.506 l S BT 4.4785 0 0 4.4785 324.4035 506.0414 Tm (10)Tj 2.9857 0 0 2.9857 329.3618 508.8138 Tm (4)Tj ET 337.732 512.493 m 337.732 512.999 l 343.597 512.493 m 343.597 512.999 l 347.782 512.493 m 347.782 512.999 l 351.008 512.493 m 351.008 512.999 l 353.647 512.493 m 353.647 512.999 l 355.886 512.493 m 355.886 512.999 l 357.806 512.493 m 357.806 512.999 l 359.512 512.493 m 359.512 512.999 l 361.058 512.493 m 361.058 512.999 l 361.058 512.493 m 361.058 513.506 l S BT 4.4785 0 0 4.4785 357.7523 506.0414 Tm (10)Tj 2.9857 0 0 2.9857 362.7106 508.8138 Tm (5)Tj ET 261.011 512.493 m 261.998 512.493 l S BT 4.4785 0 0 4.4785 257.5992 510.8398 Tm (0)Tj ET 261.011 525.368 m 261.998 525.368 l S BT 4.4785 0 0 4.4785 253.8672 523.7155 Tm (0.5)Tj ET 261.011 538.244 m 261.998 538.244 l S BT 4.4785 0 0 4.4785 257.5992 536.5911 Tm (1)Tj ET 261.011 551.12 m 261.998 551.12 l S BT 4.4785 0 0 4.4785 253.8672 549.4668 Tm (1.5)Tj ET 261.011 563.995 m 261.998 563.995 l S BT 4.4785 0 0 4.4785 257.5992 562.3425 Tm (2)Tj ET 261.011 576.871 m 261.998 576.871 l S BT 4.4785 0 0 4.4785 253.8672 575.2181 Tm (2.5)Tj ET 261.011 589.747 m 261.998 589.747 l S BT 4.4785 0 0 4.4785 257.5992 588.0938 Tm (3)Tj ET q 261.011 512.466 100.073 77.281 re W n 0.9 g 261.011 648.553 m 265.97 618.697 l 271.035 581.856 l 276.02 585.641 l 281.005 571.939 l 285.99 572.179 l 291.001 571.726 l 296.013 572.206 l 301.025 572.179 l 306.01 572.606 l 311.021 572.206 l 316.033 572.579 l 321.018 572.659 l 326.03 572.446 l 331.041 572.366 l 336.026 572.339 l 341.038 572.259 l 346.05 572.286 l 351.035 572.179 l 356.046 572.073 l 361.058 571.993 l 361.058 571.113 l 356.046 571.033 l 351.035 570.873 l 346.05 570.66 l 341.038 570.446 l 336.026 570.1 l 331.041 569.727 l 326.03 568.98 l 321.018 568.181 l 316.033 567.167 l 311.021 565.675 l 306.01 563.355 l 301.025 560.556 l 296.013 556.718 l 291.001 551.893 l 285.99 543.282 l 281.005 529.42 l 276.02 494.792 l 271.035 470.533 l 265.97 349.001 l 261.011 167.462 l f* Q 0.6 g 261.011 585.588 m 265.97 583.269 l 271.035 581.963 l 276.02 579.857 l 281.005 578.87 l 285.99 577.644 l 291.001 576.578 l 296.013 576.125 l 301.025 575.138 l 306.01 574.818 l 311.021 574.125 l 316.033 573.912 l 321.018 573.672 l 326.03 573.352 l 331.041 573.059 l 336.026 572.926 l 341.038 572.766 l 346.05 572.686 l 351.035 572.552 l 356.046 572.419 l 361.058 572.312 l 361.058 571.459 l 356.046 571.406 l 351.035 571.299 l 346.05 571.166 l 341.038 571.06 l 336.026 570.846 l 331.041 570.74 l 326.03 570.42 l 321.018 570.206 l 316.033 569.86 l 311.021 569.407 l 306.01 569.06 l 301.025 568.287 l 296.013 568.127 l 291.001 566.848 l 285.99 566.075 l 281.005 564.795 l 276.02 563.435 l 271.035 561.623 l 265.97 560.343 l 261.011 558.584 l f* q 261.011 512.466 100.073 77.281 re W n 1 G 0.64 w 261.011 572.099 m 265.97 571.806 l 271.035 571.779 l 276.02 571.646 l 281.005 571.833 l 285.99 571.859 l 291.001 571.699 l 296.013 572.126 l 301.025 571.726 l 306.01 571.939 l 311.021 571.779 l 316.033 571.886 l 321.018 571.939 l 326.03 571.886 l 331.041 571.913 l 336.026 571.886 l 341.038 571.913 l 356.046 571.913 l 361.058 571.886 l S 0 G [1.919 ]0 d 269.409 512.466 m 271.035 526.195 l 276.02 540.217 l 281.005 550.693 l 285.99 557.731 l 291.001 561.809 l 296.013 564.448 l 301.025 566.368 l 306.01 567.967 l 311.021 568.954 l 316.033 569.86 l 321.018 570.42 l 326.03 570.713 l 331.041 571.06 l 336.026 571.219 l 341.038 571.353 l 346.05 571.459 l 351.035 571.513 l 356.046 571.539 l 361.058 571.539 l S Q BT 4.4785 0 0 4.4785 300.7847 501.2963 Tm 0 g (# samples)Tj 0 4.4785 -4.4785 0 251.4147 532.8857 Tm (SNR improvement)Tj ET q 377.585 500.257 119.08 93.275 re W n 1 g 377.585 593.532 119.08 -93.275 re f Q 1 g 392.006 589.747 100.046 -77.254 re f* 1 G 392.006 512.493 m 392.006 589.747 l 492.053 589.747 l 492.053 512.493 l 392.006 512.493 l S 0 G 392.006 512.493 m 492.053 512.493 l 392.006 512.493 m 392.006 589.747 l 392.006 512.493 m 392.006 512.999 l 392.006 512.493 m 392.006 513.506 l S BT 4.4785 0 0 4.4785 388.7009 506.0414 Tm 0 g (10)Tj 2.9857 0 0 2.9857 393.6592 508.8138 Tm (2)Tj ET 402.03 512.493 m 402.03 512.999 l 407.894 512.493 m 407.894 512.999 l 412.08 512.493 m 412.08 512.999 l 415.305 512.493 m 415.305 512.999 l 417.944 512.493 m 417.944 512.999 l 420.184 512.493 m 420.184 512.999 l 422.103 512.493 m 422.103 512.999 l 423.809 512.493 m 423.809 512.999 l 425.355 512.493 m 425.355 512.999 l 425.355 512.493 m 425.355 513.506 l S BT 4.4785 0 0 4.4785 422.0497 506.0414 Tm (10)Tj 2.9857 0 0 2.9857 427.008 508.8138 Tm (3)Tj ET 435.379 512.493 m 435.379 512.999 l 441.243 512.493 m 441.243 512.999 l 445.428 512.493 m 445.428 512.999 l 448.654 512.493 m 448.654 512.999 l 451.293 512.493 m 451.293 512.999 l 453.532 512.493 m 453.532 512.999 l 455.452 512.493 m 455.452 512.999 l 457.158 512.493 m 457.158 512.999 l 458.704 512.493 m 458.704 512.999 l 458.704 512.493 m 458.704 513.506 l S BT 4.4785 0 0 4.4785 455.3985 506.0414 Tm (10)Tj 2.9857 0 0 2.9857 460.3568 508.8138 Tm (4)Tj ET 468.727 512.493 m 468.727 512.999 l 474.592 512.493 m 474.592 512.999 l 478.777 512.493 m 478.777 512.999 l 482.003 512.493 m 482.003 512.999 l 484.642 512.493 m 484.642 512.999 l 486.881 512.493 m 486.881 512.999 l 488.801 512.493 m 488.801 512.999 l 490.507 512.493 m 490.507 512.999 l 492.053 512.493 m 492.053 512.999 l 492.053 512.493 m 492.053 513.506 l S BT 4.4785 0 0 4.4785 488.7473 506.0414 Tm (10)Tj 2.9857 0 0 2.9857 493.7056 508.8138 Tm (5)Tj ET 392.006 512.493 m 392.993 512.493 l S BT 4.4785 0 0 4.4785 388.5942 510.8398 Tm (0)Tj ET 392.006 525.368 m 392.993 525.368 l S BT 4.4785 0 0 4.4785 384.8622 523.7155 Tm (0.5)Tj ET 392.006 538.244 m 392.993 538.244 l S BT 4.4785 0 0 4.4785 388.5942 536.5911 Tm (1)Tj ET 392.006 551.12 m 392.993 551.12 l S BT 4.4785 0 0 4.4785 384.8622 549.4668 Tm (1.5)Tj ET 392.006 563.995 m 392.993 563.995 l S BT 4.4785 0 0 4.4785 388.5942 562.3425 Tm (2)Tj ET 392.006 576.871 m 392.993 576.871 l S BT 4.4785 0 0 4.4785 384.8622 575.2181 Tm (2.5)Tj ET 392.006 589.747 m 392.993 589.747 l S BT 4.4785 0 0 4.4785 388.5942 588.0938 Tm (3)Tj ET 0.9 g 392.006 577.617 m 396.965 576.471 l 402.03 574.952 l 407.015 573.805 l 412 572.792 l 416.985 571.619 l 421.996 571.246 l 427.008 570.42 l 432.02 569.993 l 437.005 569.727 l 442.016 569.3 l 447.028 569.06 l 452.013 568.9 l 457.025 568.58 l 462.036 568.287 l 467.021 568.154 l 472.033 568.127 l 477.045 567.887 l 482.03 567.834 l 487.041 567.727 l 492.053 567.701 l 492.053 566.821 l 487.041 566.714 l 482.03 566.581 l 477.045 566.501 l 472.033 566.314 l 467.021 566.048 l 462.036 565.835 l 457.025 565.621 l 452.013 565.222 l 447.028 564.768 l 442.016 564.289 l 437.005 563.569 l 432.02 562.769 l 427.008 561.676 l 421.996 560.876 l 416.985 559.65 l 412 558.424 l 407.015 556.451 l 402.03 553.892 l 396.965 551.306 l 392.006 546.988 l f* 0.6 g 392.006 585.055 m 396.965 583.242 l 402.03 581.643 l 407.015 580.15 l 412 578.524 l 416.985 577.457 l 421.996 576.631 l 427.008 575.618 l 432.02 575.031 l 437.005 574.765 l 442.016 574.285 l 447.028 573.939 l 452.013 573.725 l 457.025 573.352 l 462.036 573.059 l 467.021 572.899 l 472.033 572.819 l 477.045 572.579 l 482.03 572.499 l 487.041 572.392 l 492.053 572.366 l 492.053 571.486 l 487.041 571.433 l 482.03 571.273 l 477.045 571.219 l 472.033 571.086 l 467.021 570.846 l 462.036 570.66 l 457.025 570.526 l 452.013 570.153 l 447.028 569.807 l 442.016 569.353 l 437.005 568.927 l 432.02 568.26 l 427.008 567.381 l 421.996 566.954 l 416.985 565.995 l 412 565.168 l 407.015 563.675 l 402.03 561.996 l 396.965 560.503 l 392.006 558.291 l f* q 392.006 512.466 100.073 77.281 re W n 1 G 0.64 w 392.006 571.673 m 396.965 571.886 l 402.03 571.833 l 407.015 571.913 l 412 571.833 l 416.985 571.726 l 421.996 571.806 l 427.008 571.486 l 432.02 571.646 l 437.005 571.833 l 442.016 571.806 l 447.028 571.886 l 452.013 571.939 l 457.025 571.939 l 462.036 571.859 l 467.021 571.859 l 472.033 571.939 l 477.045 571.913 l 482.03 571.886 l 487.041 571.913 l 492.053 571.913 l S 0 G [1.919 ]0 d 392.006 562.316 m 396.965 563.889 l 402.03 564.422 l 407.015 565.141 l 412 565.595 l 416.985 565.648 l 421.996 566.075 l 427.008 566.048 l 432.02 566.394 l 437.005 566.634 l 442.016 566.794 l 447.028 566.901 l 452.013 567.061 l 457.025 567.088 l 462.036 567.061 l 467.021 567.114 l 472.033 567.221 l 477.045 567.194 l 482.03 567.194 l 492.053 567.247 l S Q BT 4.4785 0 0 4.4785 431.7797 501.2963 Tm 0 g (# samples)Tj 0 4.4785 -4.4785 0 382.4097 532.8857 Tm (SNR improvement)Tj /TT4 1 Tf 9.9626 0 0 9.9626 169.47 489.108 Tm [(\(a\))-12011.3(\(b\))-12010.4(\(c\))]TJ -6.1701 -1.889 TD [(Fig.)-192.4(3:)-281.9(Empirical)-192.4(con)39.7(v)15.4(e)0(r)18.1(gence)-196.9(of)-192.4(parametric)-193.3(prior)19.9(-free)-191.5(method)-194.2(to)-192.4(optimal)-192.4(BLS)-193.3(solution,)-204.2(as)-192.4(a)-193.3(function)]TJ 0 -1.1003 TD [(number)-242.1(of)-240.3(data)-242.1(observ)25.3(ations,)-243.9(for)-240.3(three)-241.2(dif)25.3(ferent)-241.2(parameterized)-243(estimators.)-306.2(\()]TJ /TT2 1 Tf 30.0106 0 TD (a)Tj /TT4 1 Tf 0.5 0 TD [(\)3)-240.3(b)19.9(ump;)-244.8(\()]TJ /TT2 1 Tf 4.1869 0 TD (b)Tj /TT4 1 Tf 0.5561 0 TD [(\)15)-241.2(b)19.9(umps;)]TJ -35.2537 -1.0994 TD (\()Tj /TT2 1 Tf 0.333 0 TD (c)Tj /TT4 1 Tf 0.4438 0 TD [(\))-201.5(Soft)-201.5(thresholding.)-295.4(All)-201.5(cases)-201.5(use)-202.4(a)-201.5(generalized)-204.2(Gaussian)-203.3(prior)-201.5(\(e)15.4(xponent)]TJ /F3 1 Tf 28.9331 0 TD (0)Tj /F1 1 Tf 0.4996 0 TD (.)Tj /F3 1 Tf 0.2773 0 TD (5)Tj /TT4 1 Tf 0.4996 0 TD [(\),)-211.4(and)-203.3(assume)-202.4(additi)25.3(v)15.4(e)]TJ -30.9864 -1.1003 TD [(Gaussian)-251.1(noise.)]TJ 0 -2.6794 TD [(we)-219.5(are)-218.6(discussing)-218.6(pro)15.4(vides)-220.4(an)-219.5(interpretation)-219.5(for)-217.7(this)-218.6(procedure:)-296.3(the)-218.6(optimal)-219.5(density)-219.5(is)-217.7(the)-219.5(one)-219.5(which,)]TJ 0 -1.0994 TD [(when)-262(con)39.7(v)15.4(erted)-262(into)-261.1(an)-261.1(estimator)-260.2(using)-260.2(the)-261.1(formula)-261.1(in)-260.2(T)80.4(able)-262(1)-260.2(for)-260.2(the)-261.1(additi)25.3(v)15.4(e)-262(Gaussian)-261.1(case,)-263.8(gi)25.3(v)15.4(e)0(s)]TJ 0 -1.1003 TD [(the)-250.2(best)-250.2(MSE.)-251.1(This)-250.2(may)-251.1(be)-250.2(e)15.4(xtended)-253.8(to)-250.2(an)15.4(y)-251.1(o)0(f)-250.2(the)-250.2(linear)-251.1(operators)-250.2(in)-250.2(T)80.4(able)-252(1.)]TJ 0 -1.7002 TD [(As)-250.2(an)-250.2(e)15.4(xample,)-252(we)-251.1(parametrize)]TJ /F1 1 Tf 12.8166 0 TD (g)Tj /TT4 1 Tf 0.7634 0 TD [(as)-250.2(a)-250.2(linear)-250.2(combination)-252.9(of)-249.3(nonlinear)-252(b)19.9(ump)-252(functions)]TJ /F1 1 Tf 2.0882 -1.6478 TD (g)Tj /F5 1 Tf 6.9738 0 0 6.9738 268.848 353.955 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 273.357 355.449 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD 0.2778 Tc (\)=)Tj /F7 1 Tf 1.7218 0.9504 TD 0 Tc ()Tj /F5 1 Tf 6.9738 0 0 6.9738 304.623 343.4701 Tm (k)Tj /F1 1 Tf 9.9626 0 0 9.9626 315.684 355.449 Tm ()Tj /F5 1 Tf 6.9738 0 0 6.9738 320.364 353.955 Tm (k)Tj /F1 1 Tf 9.9626 0 0 9.9626 325.26 355.449 Tm (g)Tj /F5 1 Tf 6.9738 0 0 6.9738 330.012 353.955 Tm (k)Tj /F3 1 Tf 9.9626 0 0 9.9626 334.917 355.449 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD (\))Tj /TT4 1 Tf 14.3908 0 TD (\(13\))Tj -38.0827 -2.3659 TD [(where)-251.1(the)-250.2(functions)]TJ /F1 1 Tf 8.1387 0 TD (g)Tj /F5 1 Tf 6.9738 0 0 6.9738 193.815 330.384 Tm (k)Tj /TT4 1 Tf 9.9626 0 0 9.9626 201.213 331.8781 Tm [(are)-250.2(of)-250.2(the)-250.2(form)]TJ /F1 1 Tf -0.1716 -2.0254 TD (g)Tj /F5 1 Tf 6.9738 0 0 6.9738 204.255 310.2061 Tm (k)Tj /F3 1 Tf 9.9626 0 0 9.9626 209.16 311.7 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD 0.2778 Tc (\)=)Tj /F1 1 Tf 1.7218 0 TD 0 Tc (y)Tj /F3 1 Tf 0.9431 0 TD -0.0002 Tc (cos)Tj /F8 1 Tf 6.9738 0 0 6.9738 258.165 315.813 Tm 0 Tc (2)Tj /F7 1 Tf 9.9626 0 0 9.9626 264.294 325.7401 Tm ()Tj /F3 1 Tf 0.9278 -0.7335 TD (1)Tj ET 0 j 0.405 w 272.826 314.189 m 279.243 314.189 l S BT /F1 1 Tf 9.9626 0 0 9.9626 272.826 304.86 Tm ()Tj /TT4 1 Tf 0.7633 0.6866 TD (sgn)Tj /F3 1 Tf 1.3892 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD -0.0004 Tc [(\))-166.2(log)]TJ /F8 1 Tf 6.9738 0 0 6.9738 321.786 309.261 Tm 0 Tc (2)Tj /F3 1 Tf 9.9626 0 0 9.9626 327.915 311.7 Tm (\()Tj /F2 1 Tf 0.3894 0 TD (|)Tj /F1 1 Tf 0.2773 0 TD (y)Tj /F2 1 Tf 0.5267 0 TD (|)Tj /F1 1 Tf 0.2773 0 TD -0.0004 Tc (/)Tj /F3 1 Tf 1.3298 0 TD 0.2223 Tc [(+1)222.7(\))]TJ /F2 1 Tf 2.1112 0 TD 0 Tc ()Tj /F1 1 Tf 1.1192 0.6757 TD 0.0314 Tc (k)Tj ET 387.999 314.189 m 399.537 314.189 l S BT /F3 1 Tf 9.9626 0 0 9.9626 391.284 304.86 Tm 0 Tc (2)Tj /F7 1 Tf 0.9485 2.0958 TD ()Tj /F1 1 Tf 0.9025 -1.4093 TD (,)Tj /TT4 1 Tf -30.2857 -2.0136 TD [(as)-414.6(illustrated)-415.6(in)-414.6(Fig.)-415.6(2.)-804.9(Recently)65(,)-458(linear)-415.6(parameterizations)-417.4(ha)19.9(v)15.4(e)-416.5(been)-416.5(used)-416.5(in)-414.6(conjunction)-418.3(with)]TJ 0 -1.1003 TD [(Eq.)-250.2(\(12\))-250.2(for)-250.2(image)-251.1(denoising)-251.1(in)-250.2(the)-251.1(w)9.9(a)19.9(v)15.4(elet)-251.1(domain)-252([11].)]TJ 0 -1.7002 TD [(W)80.4(e)-273.7(can)-273.7(substitute)-272.8(Eq.)-273.7(\(13\))-272.8(into)-272.8(Eq.)-272.8(\(12\))-273.7(and)-273.7(pick)-273.7(coef)]TJ /TT7 1 Tf 21.7324 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD (cients)Tj /F2 1 Tf 2.6072 0 TD ({)Tj /F1 1 Tf 0.4996 0 TD ()Tj /F5 1 Tf 6.9738 0 0 6.9738 365.634 262.2451 Tm (k)Tj /F2 1 Tf 9.9626 0 0 9.9626 370.539 263.739 Tm (})Tj /TT4 1 Tf 0.7724 0 TD [(to)-272.8(minimize)-273.7(this)-272.8(criteria,)-278.2(which)]TJ -27.1247 -1.0994 TD [(is)-363.2(a)-364.1(quadratic)-365(function)-365(of)-364.1(the)-364.1(coef)]TJ /TT7 1 Tf 14.0989 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(cients.)-653.1(F)15.4(o)0(r)-364.1(our)-365(simulations,)-392.1(we)-364.1(used)-364.1(a)-364.1(generalized)-366.8(Gaussian)]TJ -14.6551 -1.1003 TD [(prior)39.7(,)-268.3(with)-265.6(e)15.4(xponent)]TJ /F3 1 Tf 8.3843 0 TD (0)Tj /F1 1 Tf 0.4996 0 TD (.)Tj /F3 1 Tf 0.2773 0 TD (5)Tj /TT4 1 Tf 0.4996 0 TD [(.)-355.9(Figure)-266.5(3)-265.6(sho)25.3(ws)-265.6(the)-265.6(empirical)-265.6(beha)19.9(vior)-267.4(of)-264.7(these)-265.6(SURE-b)19.9(ump)-268.3(estimators)]TJ -9.6608 -1.1003 TD [(when)-276.4(using)-274.6(three)-275.5(b)19.9(umps)-275.5(\()-273.7(Fig.)-275.5(3)]TJ /TT2 1 Tf 13.047 0 TD (a)Tj /TT4 1 Tf 0.5 0 TD [(\))-274.6(and)]TJ /TT7 1 Tf 2.327 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(fteen)-276.4(b)19.9(umps)-274.6(\(Fig.)-274.6(3)]TJ /TT2 1 Tf 7.8883 0 TD (b)Tj /TT4 1 Tf 0.5562 0 TD [(\),)-280.9(illustrating)-274.6(the)-274.6(bias-v)25.3(ariance)-277.3(trade-)]TJ -24.8747 -1.0994 TD [(of)25.3(f)-275.5(inherent)-276.4(in)-275.5(the)]TJ /TT7 1 Tf 7.5196 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(x)15.4(e)0(d)-277.3(parameterization.)-387.6(Three)-276.4(b)19.9(umps)-276.4(beha)19.9(v)15.4(e)0(s)-277.3(f)9.9(airly)-274.6(well,)-281.9(though)-276.4(the)-276.4(asymptotic)]TJ -8.0758 -1.1003 TD [(beha)19.9(vior)-345.1(for)-343.3(lar)18.1(ge)-344.2(amounts)-344.2(of)-343.3(data)-344.2(is)-343.3(biased)-344.2(and)-344.2(thus)-344.2(f)9.9(alls)-342.4(short)-342.4(of)-344.2(ideal.)-589.9(Fifteen)-344.2(b)19.9(umps)-344.2(asymp-)]TJ T* [(totes)-296.3(correctly)-296.3(b)19.9(u)0(t)-297.2(has)-296.3(v)15.4(ery)-297.2(lar)18.1(ge)-296.3(v)25.3(ariance)-299(for)-295.4(small)-295.4(amounts)-297.2(of)-296.3(data)-297.2(\(o)15.4(v)15.4(e)0(r)]TJ /TT7 1 Tf 29.9948 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(tting\).)-449(F)15.4(o)0(r)-297.2(comparison)]TJ -30.551 -1.0994 TD [(purposes,)-303.5(we)-292.7(ha)19.9(v)15.4(e)-294.5(included)-294.5(the)-292.7(beha)19.9(vior)-294.5(of)-292.7(SURE)-293.6(thresholding)-293.6([12],)-302.6(in)-292.7(which)-293.6(Eq.)-292.7(\(4.2\))-291.8(is)-291.8(used)-293.6(to)]TJ 0 -1.1003 TD [(choose)-252(an)-250.2(optimal)-251.1(threshold,)]TJ /F1 1 Tf 11.7521 0 TD ()Tj /TT4 1 Tf 0.4978 0 TD [(,)-248.4(for)-250.2(the)-250.2(function)]TJ /F1 1 Tf 2.2276 -1.3813 TD (f)Tj /F5 1 Tf 6.9738 0 0 6.9738 257.112 160.8151 Tm ()Tj /F3 1 Tf 9.9626 0 0 9.9626 261.621 162.309 Tm (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD 0.2778 Tc (\)=)Tj /TT4 1 Tf 1.7227 0 TD 0 Tc (sgn)Tj /F3 1 Tf 1.3892 0 TD (\()Tj /F1 1 Tf 0.3885 0 TD (y)Tj /F3 1 Tf 0.5267 0 TD -0.0004 Tc (\)\()Tj /F2 1 Tf 0.7769 0 TD 0 Tc (|)Tj /F1 1 Tf 0.2773 0 TD (y)Tj /F2 1 Tf 0.5267 0 TD 0.2227 Tc (|)Tj /F1 1 Tf 1.5005 0 TD 0 Tc ()Tj /F3 1 Tf 0.4978 0 TD (\))Tj /F8 1 Tf 6.9738 0 0 6.9738 350.379 166.422 Tm (+)Tj /F1 1 Tf 9.9626 0 0 9.9626 356.994 162.309 Tm (.)Tj /TT4 1 Tf -24.9928 -1.3813 TD [(As)-192.4(can)-194.2(be)-194.2(seen,)-204.2(SURE)-194.2(thresholding)-194.2(sho)25.3(ws)-193.3(signi)]TJ /TT7 1 Tf 18.8122 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD [(cant)-195.1(asymptotic)-193.3(bias)-193.3(although)-195.1(the)-193.3(v)25.3(ariance)-195.1(beha)19.9(vior)]TJ -19.3684 -1.1003 TD [(is)-249.3(nearly)-251.1(ideal.)]TJ /TT2 1 Tf 11.9551 0 0 11.9551 108 109.452 Tm [(5)-1000.5(Discussion)]TJ /TT4 1 Tf 9.9626 0 0 9.9626 108 86.5381 Tm [(W)80.4(e)-260.2(ha)19.9(v)15.4(e)-262(reformulated)-261.1(the)-260.2(Bayes)-261.1(least)-260.2(squares)-260.2(estimation)-260.2(problem)-261.1(for)-259.3(a)-260.2(setting)-260.2(in)-260.2(which)-260.2(one)-261.1(kno)25.3(ws)]TJ T* [(the)-288.2(observ)25.3(ation)-289.1(process,)-297.2(and)-289.1(has)-288.2(access)-288.2(to)-288.2(man)15.4(y)-289.1(observ)25.3(ations.)-423.7(W)80.4(e)-288.2(do)-288.2(not)-288.2(assume)-288.2(the)-288.2(prior)-287.3(density)]TJ 19.624 -3.0001 TD (7)Tj ET endstream endobj 42 0 obj << /ProcSet [/PDF /Text ] /Font << /F1 14 0 R /F2 15 0 R /F3 16 0 R /F5 18 0 R /F7 20 0 R /F8 21 0 R /TT2 4 0 R /TT4 5 0 R /TT7 7 0 R /TT11 39 0 R >> /ExtGState << /GS1 9 0 R >> >> endobj 44 0 obj << /Length 9541 >> stream BT /TT4 1 Tf 9.9626 0 0 9.9626 108 713.613 Tm 0 g /GS1 gs 0 Tc 0 Tw [(is)-245.7(kno)25.3(wn,)-249.3(nor)-247.5(do)-247.5(we)-246.6(assume)-247.5(access)-247.5(to)-247.5(samples)-246.6(from)-246.6(the)-247.5(prior)55.1(.)-308.1(Our)-247.5(formulation)-247.5(thus)-246.6(acts)-246.6(as)-246.6(a)-247.5(bridge)]TJ 0 -1.0994 TD [(between)-338.8(a)-337(con)39.7(v)15.4(entional)-339.7(Bayesian)-337.9(setting)-337(in)-337(which)-337(one)-337.9(deri)25.3(v)15.4(e)0(s)-337.9(the)-337(optimal)-337.9(estimator)-336.1(from)-337(kno)25.3(wn)]TJ 0 -1.1003 TD [(prior)-219.5(and)-221.3(lik)9.9(elihood)-221.3(functions,)-226.7(and)-221.3(a)-220.4(data-oriented)-222.2(re)15.4(gression)-220.4(setting)-220.4(in)-220.4(which)-220.4(one)-221.3(learns)-220.4(the)-220.4(optimal)]TJ T* [(estimator)-271(from)-271(samples)-271(of)-271(the)-271.9(prior)-270.1(paired)-272.8(with)-271(corrupted)-271.9(observ)25.3(ations)-272.8(of)-271(those)-271.9(samples.)-745.3(In)-271(man)15.4(y)]TJ 0 -1.0994 TD [(cases,)-300.8(the)-290.9(prior)19.9(-free)-290.9(estimator)-290(can)-291.8(be)-291.8(written)-290(e)15.4(xplicitly)65(,)-301.7(and)-291.8(we)-291.8(ha)19.9(v)15.4(e)-291.8(sho)25.3(wn)-292.7(a)-290.9(number)-291.8(of)-290.9(e)15.4(xamples)]TJ 0 -1.1003 TD [(to)-229.5(illustrate)-227.7(the)-229.5(di)25.3(v)15.4(ersity)-230.4(of)-228.6(estimators)-228.6(that)-229.5(can)-229.5(arise)-229.5(under)-229.5(dif)25.3(ferent)-229.5(observ)25.3(ation)-231.3(processes.)-303.5(F)15.4(o)0(r)-229.5(three)]TJ T* [(simple)-263.8(cases,)-268.3(we)-264.7(de)25.3(v)15.4(eloped)-268.3(implementations)-265.6(and)-265.6(demonstrated)-265.6(that)-264.7(these)-264.7(con)39.7(v)15.4(e)0(r)18.1(g)0(e)-266.5(t)0(o)-264.7(optimal)-264.7(BLS)]TJ 0 -1.0994 TD [(estimators)-265.6(as)-265.6(the)-266.5(amount)-268.3(of)-265.6(data)-266.5(gro)25.3(ws.)-358.6(W)80.4(e)-266.5(also)-266.5(ha)19.9(v)15.4(e)-267.4(deri)25.3(v)15.4(e)0(d)-268.3(a)-266.5(prior)19.9(-free)-265.6(formulation)-266.5(of)-265.6(the)-266.5(MSE,)]TJ 0 -1.1003 TD [(which)-277.3(allo)25.3(ws)-275.5(selection)-276.4(of)-276.4(an)-276.4(estimator)-275.5(from)-275.5(a)-276.4(parametric)-276.4(f)9.9(amily)65(.)-386.6(W)80.4(e)-276.4(h)0(a)19.9(v)15.4(e)-278.2(sho)25.3(wn)-276.4(simulations)-276.4(for)-275.5(a)]TJ T* [(linear)-250.2(f)9.9(amily)-250.2(of)-250.2(estimators)-249.3(in)-250.2(the)-251.1(additi)25.3(v)15.4(e)-252(Gaussian)-251.1(case.)]TJ 0 -1.6992 TD [(These)-334.2(simulations)-333.3(serv)15.4(e)-334.2(t)0(o)-333.3(demonstrate)-335.2(the)-334.2(potential)-334.2(of)-333.3(this)-332.4(approach,)-356.8(which)-334.2(holds)-334.2(particular)-333.3(ap-)]TJ 0 -1.1003 TD [(peal)-310.8(for)-309.9(real-w)9.9(orld)-309.9(systems)-309.9(\(machine)-311.7(or)-309.9(biological\))-310.8(that)-310.8(must)-309.9(learn)-309.9(the)-310.8(priors)-309.9(from)-309(en)39.7(vironmental)]TJ T* [(observ)25.3(ations.)-627.8(Both)-356.8(methods)-355.9(can)-356.8(be)-356.8(enhanced)-358.6(by)-356.8(using)-355.9(data-adapti)25.3(v)15.4(e)-358.6(parameterizations)-357.7(or)]TJ /TT7 1 Tf 37.3694 0 TD ()Tj /TT4 1 Tf 0.5562 0 TD (tting)Tj -37.9256 -1.0994 TD [(procedures)-333.3(in)-332.4(order)-331.5(to)-332.4(properly)-332.4(trade)-332.4(of)25.3(f)-331.5(bias)-332.4(and)-332.4(v)25.3(ariance)-334.3(\(see,)-352.3(for)-330.6(e)15.4(xample)-334.2([8]\).)-554.7(It)-330.6(is)-331.5(of)-331.5(partic-)]TJ 0 -1.1003 TD [(ular)-322.5(interest)-322.5(to)-322.5(de)25.3(v)15.4(elop)-325.2(incremental)-324.3(implementations,)-342.4(which)-323.4(w)9.9(ould)-323.4(update)-324.3(the)-323.4(estimator)-322.5(based)-323.4(on)]TJ T* [(incoming)-313.5(observ)25.3(ations.)-497.8(This)-312.6(w)9.9(ould)-312.6(further)-312.6(enhance)-314.4(the)-312.6(applicability)-314.4(of)-311.7(this)-311.7(approach)-314.4(for)-311.7(systems)]TJ 0 -1.0994 TD [(that)-250.2(must)-250.2(learn)-250.2(to)-250.2(do)-251.1(optimal)-251.1(estimation)-250.2(from)-250.2(corrupted)-251.1(observ)25.3(ations.)]TJ /TT2 1 Tf 0 -2.5105 TD [(Ackno)9.9(wledgments)]TJ /TT4 1 Tf 0 -2.0597 TD [(This)-246.6(w)9.9(ork)-247.5(w)9.9(a)0(s)-246.6(partially)-247.5(funded)-248.4(by)-247.5(the)-247.5(Ho)25.3(w)9.9(ard)-247.5(Hughes)-248.4(Medical)-248.4(Institute,)-246.6(and)-247.5(by)-247.5(Ne)25.3(w)-248.4(Y)110.2(ork)-247.5(Uni)25.3(v)15.4(e)0(r)19.9(-)]TJ 0 -1.1003 TD [(sity)-249.3(through)-252(a)-250.2(McCrack)9.9(en)-252.9(Fello)25.3(wship)-251.1(to)-250.2(MR.)]TJ /TT2 1 Tf 11.9551 0 0 11.9551 108 446.916 Tm [(Refer)18.1(ences)]TJ /TT4 1 Tf 9.9626 0 0 9.9626 112.977 427.242 Tm [([1])-500.5(G.)-257.5(Casella,)-260.2()80.4(A)0(n)-259.3(introduction)-259.3(to)-258.4(empirical)-258.4(Bayes)-259.3(data)-258.4(analysis,)69.6()]TJ /TT9 1 Tf 27.1456 0 TD [(Amer)111.1(.)-258.4(Statist.)]TJ /TT4 1 Tf 5.3138 0 TD [(,)-259.3(v)19.9(ol.)-257.5(39,)-260.2(pp.)-259.3(83)]TJ -30.7926 -1.1003 TD [(87,)-250.2(1985.)]TJ -1.6667 -1.4996 TD [([2])-500.5(J.)-249.3(S.)-250.2(Maritz)-250.2(and)-251.1(T)74.1(.)-250.2(Lwin,)]TJ /TT9 1 Tf 11.8702 0 TD [(Empirical)-250.2(Bayes)-252(Methods)]TJ /TT4 1 Tf 10.3333 0 TD [(.)-360.4(Chapman)-252.9(&)-250.2(Hall,)-249.3(2nd)-252(ed.,)-250.2(1989.)]TJ -22.2035 -1.5005 TD [([3])-500.5(J.)-282.8(Ber)18.1(ger)39.7(,)-292.7(Impro)15.4(ving)-285.5(on)-284.6(inadmissible)-284.6(estimators)-282.8(in)-283.7(continuous)-286.4(e)15.4(xponential)-286.4(f)9.9(amilies)-282.8(with)-283.7(ap-)]TJ 1.6667 -1.0994 TD [(plications)-365.9(to)-365.9(simultaneous)-366.8(estimation)-365.9(of)-365.9(g)5.4(amma)-367.7(scale)-365.9(parameters,)69.6()]TJ /TT9 1 Tf 27.8479 0 TD [(The)-366.8(Annals)-366.8(of)-365.9(Staistics)]TJ /TT4 1 Tf 9.4886 0 TD (,)Tj -37.3365 -1.1003 TD [(v)19.9(ol.)-250.2(8,)-250.2(pp.)-250.2(545571,)-252.9(1980.)]TJ -1.6667 -1.5005 TD [([4])-500.5(C.)-190.6(M.)-190.6(Stein,)-203.3(Estimation)-191.5(of)-190.6(the)-191.5(mean)-192.4(of)-190.6(a)-191.5(multi)25.3(v)25.3(ariate)-192.4(normal)-191.5(distrib)19.9(ution,)69.6()]TJ /TT9 1 Tf 31.4504 0 TD [(Annals)-192.4(of)-190.6(Statistics)]TJ /TT4 1 Tf 7.55 0 TD (,)Tj -37.3337 -1.0994 TD [(v)19.9(ol.)-250.2(9,)-250.2(pp.)-250.2(11351151,)-253.8(No)15.4(v)15.4(ember)-252.9(1981.)]TJ -1.6667 -1.5005 TD [([5])-500.5(J.)-250.2(T)74.1(.)-252(Hw)9.9(ang,)-252.9(Impro)15.4(ving)-253.8(upon)-252.9(standard)-252(estimators)-251.1(in)-252(discrete)-252(e)15.4(xponential)-253.8(f)9.9(amilies)-251.1(with)-251.1(appli-)]TJ 1.6667 -1.0994 TD [(cations)-247.5(to)-246.6(poisson)-247.5(and)-247.5(ne)15.4(g)5.4(ati)25.3(v)15.4(e)-251.1(binomial)-247.5(cases,)69.6()]TJ /TT9 1 Tf 19.4608 0 TD [(The)-248.4(Annals)-247.5(of)-246.6(Staistics)]TJ /TT4 1 Tf 9.1317 0 TD [(,)-246.6(v)19.9(ol.)-247.5(10,)-247.5(pp.)-247.5(857867,)]TJ -28.5926 -1.1003 TD (1982.)Tj -1.6667 -1.4996 TD [([6])-500.5(K.)-285.5(Miyasa)15.4(w)9.9(a)0(,)-295.4()80.4(An)-287.3(empirical)-285.5(bayes)-287.3(estimator)-285.5(of)-285.5(the)-286.4(mean)-286.4(of)-285.5(a)-286.4(normal)-286.4(population,)69.6()]TJ /TT9 1 Tf 35.3031 0 TD [(Bull.)-285.5(Inst.)]TJ -33.6363 -1.1003 TD [(Internat.)-250.2(Statist.)]TJ /TT4 1 Tf 6.4724 0 TD [(,)-248.4(v)19.9(ol.)-250.2(38,)-251.1(pp.)-250.2(181188,)-252.9(1956.)]TJ -8.1391 -1.4996 TD [([7])-500.5(H.)-326.1(Robbins,)-347.8()80.4(A)0(n)-327.9(empirical)-327.9(bayes)-327.9(approach)-329.7(to)-327(statistics,)69.6()]TJ /TT9 1 Tf 25.0315 0 TD [(Pr)45.2(oc.)-327(Thir)37(d)-327.9(Berkle)29.8(y)-327.9(Symposium)-328.8(on)]TJ -23.3648 -1.1003 TD [(Mathematcal)-252(Statistics)]TJ /TT4 1 Tf 9.1397 0 TD [(,)-249.3(v)19.9(ol.)-250.2(1,)-249.3(pp.)-251.1(157163,)-252.9(1956.)]TJ -10.8065 -1.5005 TD [([8])-500.5(M.)-229.5(Raphan)-232.2(and)-230.4(E.)-229.5(P)111.1(.)-230.4(Simoncelli,)-234.9(Empirical)-230.4(Bayes)-231.3(least)-229.5(squares)-230.4(estimation)-230.4(without)-230.4(an)-230.4(e)15.4(xplicit)]TJ 1.6667 -1.0994 TD [(prior)55.1(.)69.6()-249.3(NYU)-251.1(Courant)-251.1(Inst.)-249.3(T)69.6(ech.)-251.1(Report,)-250.2(2007.)]TJ -1.6667 -1.5005 TD [([9])-500.5(C.)-452.6(R.)-451.7(Loader)39.7(,)-505(Local)-453.5(lik)9.9(elihood)-454.4(density)-453.5(estimation,)69.6()]TJ /TT9 1 Tf 24.2605 0 TD [(Annals)-453.5(of)-452.6(Statistics)]TJ /TT4 1 Tf 8.0731 0 TD [(,)-502.3(v)19.9(ol.)-452.6(24,)-503.2(no.)-453.5(4,)]TJ -30.6669 -1.0994 TD [(pp.)-250.2(16021618,)-253.8(1996.)]TJ -2.1663 -1.5005 TD [([10])-500.5(D.)-205.1(W)92.1(.)-204.2(Scott,)]TJ /TT9 1 Tf 7.1703 0 TD [(Multivariate)-205.1(Density)-206(Estimation:)-287.3(Theory)55.1(,)-215.9(P)0(r)15.4(actice)9.9(,)-215(and)-206.9(V)74.1(isualization)]TJ /TT4 1 Tf 27.4004 0 TD [(.)-262.9(John)-206(W)39.7(ile)15.4(y)65(,)]TJ -32.4043 -1.0994 TD (1992.)Tj -2.1663 -1.5005 TD [([11])-500.5(F)80.4(.)-357.7(Luisier)39.7(,)-383.9(T)74.1(.)-357.7(Blu,)-384.8(and)-358.6(M.)-356.8(Unser)39.7(,)-384.8(SURE-based)-359.5(w)9.9(a)19.9(v)15.4(elet)-359.5(thresholding)-358.6(inte)15.4(grating)-359.5(inter)19.9(-scale)]TJ 2.1663 -1.1003 TD [(dependencies,)69.6()-311.7(i)0(n)]TJ /TT9 1 Tf 7.3963 0 TD [(Pr)45.2(oc)-298.1(IEEE)-297.2(Intl)-295.4(Conf)-298.1(on)-297.2(Ima)9.9(g)9.9(e)-298.1(Pr)45.2(oc)]TJ /TT4 1 Tf 14.8927 0 TD [(,)-309(\(Atlanta)-297.2(GA,)-296.3(USA\),)-297.2(pp.)-297.2(14571460,)]TJ -22.289 -1.0994 TD [(October)-251.1(2006.)]TJ -2.1663 -1.5005 TD [([12])-500.5(D.)-381.2(Donoho)-383(and)-383(I.)-380.3(Johnstone,)-415.6()80.4(Adapting)-383.9(to)-381.2(unkno)25.3(wn)-384.8(smoothness)-382.1(via)-382.1(w)9.9(a)19.9(v)15.4(elet)-383(shrinkage,)69.6()]TJ /TT9 1 Tf 39.3184 0 TD (J)Tj -37.1521 -1.0994 TD [(American)-251.1(Stat)-250.2(Assoc)]TJ /TT4 1 Tf 8.2777 0 TD [(,)-250.2(v)19.9(ol.)-250.2(90,)-251.1(December)-252(1995.)]TJ 9.18 -6.3986 TD (8)Tj ET endstream endobj 45 0 obj << /ProcSet [/PDF /Text ] /Font << /TT2 4 0 R /TT4 5 0 R /TT7 7 0 R /TT9 8 0 R >> /ExtGState << /GS1 9 0 R >> >> endobj 9 0 obj << /Type /ExtGState /SA false /SM 0.02 /OP false /op false /OPM 1 /BG2 /Default /UCR2 /Default /HT /Default /TR2 /Default >> endobj 46 0 obj << /Type /FontDescriptor /Ascent 0 /CapHeight 686 /Descent 0 /Flags 68 /FontBBox [36 -250 1349 750] /FontName /IMMMFP+CMMI5 /ItalicAngle -14.04 /StemV 90 /XHeight 449 /StemH 36 /CharSet (/T/k/lambda/Y/n/x/y) /FontFile3 47 0 R >> endobj 47 0 obj << /Filter /FlateDecode /Length 1465 /Subtype /Type1C >> stream H$[PwBBTꈗ]δVێժ( ED0\KH6$no!@B8hTTDjvԱNqP6Ҡ|6+3f 6 w,46$ՙȓÙ7W3<N.m <,UpNT_qNQV`wml߽=zR qKubLUNP 2T!>bX;X XGY%Ӭܓ%Z,~je*#<]:*ʙ_ tN?NRI^+j Z@/GF#QcvҮ4$f*5r'xogIqllE N~7sdfj}6(De*D؎CQ!`#&ʨD(y95aI׸ϊ$n?I/`lG;շHAVHMGÞSp1D =e26d0053f^;Q0250B*,3<^vRȑܽ'Wٴ1}.~K$u#ΨlQf?O x:,9[(ZD;Ѧ=7Cb& -8rH加Wh cQb'k*fIQC7zIG!_]}6\7'Ni@9hEEfdw5,,ZrRn+|atOhZ X24VhHKK?Nq}&12ևxG?K^4ԗp{4{ÖQE?􋭆_|:s\8((Tj$zDKsVF(Ho Om UG ?<@>3)\wY)yeېW$nVҌkJ4b8`N 愶L)ΈЄ6 aEC4W 9H3vyȗg/[1gv dŀ endstream endobj 48 0 obj << /Type /FontDescriptor /Ascent 0 /CapHeight 0 /Descent 0 /Flags 262176 /FontBBox [-55 -250 1289 751] /FontName /IMMMFE+CMBX7 /ItalicAngle 0 /StemV 127 /XHeight 451 /StemH 56 /CharSet (/y/x) /FontFile3 49 0 R >> endobj 49 0 obj << /Length 474 /Subtype /Type1C >> stream  IMMMFE+CMBX7 T !6FKCopyright (C) 1997 American Mathematical Society. All Rights ReservedCMBX7Y kjkiFS-,*> endobj 51 0 obj << /Length 382 /Subtype /Type1C >> stream  IMMMEO+CMR5 Y FJCopyright (C) 1997 American Mathematical Society. All Rights ReservedCMR5J "jKDwz_̎l!Y_䋇Y! ַ UaxM{7|Xͼdz #(=)WqlũQ)7QK>Jcmeu?nbCy h VR_W""? endstream endobj 52 0 obj << /Type /FontDescriptor /Ascent 0 /CapHeight 0 /Descent 0 /Flags 68 /FontBBox [20 -944 1448 791] /FontName /IMMMEM+CMSY5 /ItalicAngle -14.035 /StemV 101 /StemH 56 /CharSet (/minus/prime) /FontFile3 53 0 R >> endobj 53 0 obj << /Length 288 /Subtype /Type1C >> stream  IMMMEM+CMSY5(J_  D-26KPprimeCopyright (C) 1997 American Mathematical Society. All Rights ReservedCMSY50+e;Txr4rp~?~pooZtgmkci.F}~~s? Ø endstream endobj 54 0 obj << /Type /FontDescriptor /Ascent 0 /CapHeight 0 /Descent 0 /Flags 4 /FontBBox [-27 -250 1122 750] /FontName /IMMKMG+CMR7 /ItalicAngle 0 /StemV 79 /XHeight 438 /StemH 36 /CharSet (/equal/one/two/e/x/p/parenleft/parenright/Lambda/exclam/plus/zero/tilde/four) /FontFile3 55 0 R >> endobj 55 0 obj << /Filter /FlateDecode /Length 1546 /Subtype /Type1C >> stream H\TPSW}GMowC[+TZV0$H$7 ?D!@Hv-(uvun[N~/X̜{ι$is }(0{wd/M*X O.´?ޭ^bhߒ_l,Uk_]a(2r3u]hWWtrتJ uu++us',BE_]5Eч$j5PiBjQ" A5PZ&=#g^gRKP5xRZKxrVw;C˵9-IlB-&lkEdG4t/3xF:$=5߁="wæݎ]N" ܄WN+nنOِvةl ˀ9*5j+ıU>o؋*.7ZYn5c֡ッEEez _$8RH'o3xt8-,M<y< | K_|v7`2ҀZ}ΎtDG)8v򭾖#=.A% xH/3)Ցa,|uK jG pQK5֋"-R={(Hmǖ uDJ>? ӌ쇫$٧^ߪ,8@lDss1 lBW _^/SiOwo=^7|qeݳ5KR@?8{1WKcNv7(NqXt#IϮH _|{S`d/qjgcݑr \/|o.\p寷x+YLdgZDіrV<ǀAҤr4aWX7Qx#aYp;Drcfk ܐ#V.9$U9ut]'?$ AYXLXD|`Ă΃@LRosg/3}d,=V]:r'OU߈02v(MQ+ʓr2#x4lfa1ތڮ(T bBtzM@{H[JIq7+sSf4T.q[੧̋E,j3 endstream endobj 56 0 obj << /Type /FontDescriptor /Ascent 0 /CapHeight 0 /Descent 0 /Flags 4 /FontBBox [-5 -2959 1446 772] /FontName /IMMKIL+CMEX10 /ItalicAngle 0 /StemV 47 /StemH 47 /CharSet (/integraldisplay/slashBig/summationdisplay/braceleftBigg/bracerightBigg/summationtext/braceleftBig/bracerightBig/braceleftbigg/bracerightbigg/hatwider/hatwidest/parenleftBig/parenrightBig/hatwide/integ\ raltext/parenleftbigg/parenrightbigg) /FontFile3 57 0 R >> endobj 57 0 obj << /Filter /FlateDecode /Length 2380 /Subtype /Type1C >> stream HtTkTSW!$I|UmթXAXu`AA|-ÀI@H{n#$.hG.X8:uj[uʲu7Pby9g}+(D8b;a 0_ƛq+d[Ä q}-a$5ZR 5 Bhj-;@Q%3=e14M,֧R_&@bd0KkR^@ϒB ft!U 9ZcLcJ1M\uzm`HN3dk_`TqSZrM|7_cƬgfj4ͬ4!"Dj)lItIi)tM`AbH$?w^<9|Qj괙1+W%&%gnF *~FW~\,>3(^WVt^DwJ ThdӕYΫDv;ۘz.- 4=HCԋN c$3(q,Rv&LҦB~k{@y9ya5Yq6zď!"i!d1Z S.v8~P_} y`2O\2GMz.3h+@$Bᦠds N[01Zk-."D||Aoܗ> ԑSx(#]hM:\b!W*lgIR7KА:86|xn,bUK+WEC iNn H "'|2a\Z ol-[܅uBРK? +,b 4?j:Mfl b>vJW2+&6nVyxf:a's+ Bils1^zu0ڱEnqB-Fv| |+.BHFjEZ"1!.,`yQ{mթУP?o42j!]Yqm[w"0(,`]W͓K79[rM͆xFTt|rm5rX-uf5Kf w,%RJhqNa.^bJf7kw +?-꘦BsyfTbL̓qG$BϥsL5ov"rS 9ȡDP"&t q|e̔9q ^L/*|LpLQ> ٳno_wGrW#wH4oXUǚQg+Ld[ǵ3#jz PitTy6-ѭQd[rջmM̮Wަ'R/NcIޭaX:%wbp]l4y_E];-Ī|}rVFVkowLX̽bS}Nd(엱$Qn5gyec շWq?za!Ƴ>CP= ʽvfh<A 3+\ N! JFq=ӞgVo m۷t^q8vr"! RFXq@~ɌL2oQӡkItJop肤JT {EJrnȁ0 ɰFL˲/ ]nrAb~R),^ǓA$rlhcV[Bv@ Z7 xg]=$>Rd\N!O;SOOfTmmM^aWGwkڀ1Vr9όx.ξȹ9Ν #S/7͚3Kj^WOECZN\fAXp;Guovp_ڼ,֮ꞮMr_H ]dJii횷[.;pr ܧΜs.͓xxW.JI^D.M+4_ endstream endobj 58 0 obj << /Type /FontDescriptor /Ascent 0 /CapHeight 0 /Descent 0 /Flags 68 /FontBBox [-15 -951 1252 782] /FontName /IMMKIA+CMSY7 /ItalicAngle -14.035 /StemV 93 /StemH 49 /CharSet (/bar/minus/asteriskmath/prime/infinity/radical) /FontFile3 59 0 R >> endobj 59 0 obj << /Length 759 /Subtype /Type1C >> stream  IMMKIA+CMSY7(J_  |KKX`x !fkasteriskmathprimeinfinityradicalCopyright (C) 1997 American Mathematical Society. All Rights ReservedCMSY7]01jp+}|lv8vt}}trsIQkx0*ww|~7~xy}y(L(K}y}y{7~|z-xniy}XXXI]qmpkcj~Er؁ ٧2Z3(3! #O ( 5#2Vbf1*'9D4-I.9`*N2F)$D;SI$S%V]srt}2~s~KSOXB}θnE}<}|t? endstream endobj 60 0 obj << /Type /FontDescriptor /Ascent 705 /CapHeight 687 /Descent -207 /Flags 68 /FontBBox [0 -250 1171 750] /FontName /IMMKHI+CMMI7 /ItalicAngle -14.04 /StemV 81 /XHeight 448 /StemH 32 /CharSet (/X/Y/n/theta/N/M/k/W/omega/mu/pi/lambda/e/alpha/y/x/slash/a/K/c/g/T/d/P) /FontFile3 61 0 R >> endobj 61 0 obj << /Filter /FlateDecode /Length 3807 /Subtype /Type1C >> stream HipwmK@ wan)B:]MmoٖlKӒu:|_pRR .SB LӁiIKVSwC?>~^IKAP_PuK6IXgiăӦ3R@/H<1J`X,d/+ّaé8G܆D0,-^V QA#/}l9T{7R% kHcJ@U{*ޒSb?߆xGIQ~}U}?/E>. BxDvNsgNs\Zq2d|oǖ gp`25auC WE88V˩`eNCh3 8g^_d GL# qu[$c_lZ6?׫,ḵψtysƺ>tN9Hs{Sڪn%lakcLE\ hN_d' nt\tFX6Xj,ے+~C~} ^LSpZӥ-WNJծz0BxWwC;,^R={, 78WCN4YUƢwU#\G&A ,U ){-:C1M1?v' a}oKHãK+4 pO񍪫<(O<ݎyLa(gDHVb?8w_ vWo^9;9N^sbꚪ6"Bڮڷu+yB6ݯ32fWoL'{.?XHdDb?H,:@SXpb)Wp/)mg1eB`PP|4yKc1;-DCzz VLj]dCm d&o*l6qo> 9IFh6`4R-KMi'[BdMG?1 a42jiH^ #8.$n`ʦץau!"~uQG}D?'{:o\6s A4RX dLO\[_Z[ /HuFk0Ԙ`-lY& 'G'n)uʁNGY|=DcA<$I*9+9p=b#e]s&w;=ߐ{q2gy U^Q[C6 RwH:L4ÅRSh4PQRG ,ilPnrp1 l+_E÷Ӊǒf!`t&ĊW; 'DЪ/R9̗ @ܛBRRڨLtKJ  \ G==GUyJwå;՛qaT]gד(!ws'c _򴖫,Śμ[%BwIľ"!Hki`& I2Z133"ઉA/\IjVf.^j65HCL݇{jT7,ӎv-d ._}h_wM+{q6I02 ZV e&Dn'vX߬?I/6;7uYݍ%7rW}ڲh*EVebjuc]hAã`|~>ߝll|~?R0P0MJ(K&Iժii]EKѶ_sui}}?nm?UL-4mC=a'T7/n**(,@@ה+`rFQa0/vٸBK0Gw8z>]!ii~=)ܽvA< =鯧aK5( 6 m9i5q(?KKJC4JFrk`N !e<-iT@LcN^w:Cn3tdRY8(w`8`z #(Ġq+Wp;yF 3.`qs+bD M0ŰYqք Ym*^Dp|,!4ؖgWi$f;d[m`8lv;j[8I@eAt1=zJY*`)Zqk-*=$ujbP`yVE2D8:/PmtL#]0_ LFRNB"{ʉ B4ɓ0=}竅9!&!؛ .P\0T ;BUVKk n-y rsX3;1ۅT=%ĝr%*5B p1!:"<_vqZFv ZZ1\صv4]y|m-`2Ppg$avY1%hŃfavV{зA=Lظ͝]q*N'IFFVl! ]x%wqYa_#ֹ[, ^@F'yNLË3궧Z\V?eiEIzMQ1SCe9U: RqKS#ffC~Z+S&GA$ MW{;q]rͥbmt`b{$\_Hi:zY 䭝-iݖXU]8Mv3~i:FGF o'FH&/K/^'/2i1@Mȁf'J kllfo!5hס=CXVuQdbqKxR>,tv[bC[RM4=W/ȱJđ$h1)Y gl-rxuRS$8MCPeW' [QKbavTÄӐoS> endobj 63 0 obj << /Filter /FlateDecode /Length 1028 /Subtype /Type1C >> stream H4kLUgvVkZXJ-L1mb 1&X<6@y,%Vy)& jA!#֖/4& zvoE8o彝w̑~2 1QF%ޡZBwNL<>멪l';R陙j]:{^Ic]j˪\s55EW*6#\wK28kV\~Td\getQ~i{lmg&| NL՝'])_] 뒜A窊}!$w##YJtӨH*ZM=ƆQ8!ݼ}&mN|G}栗 @DyR.%ͅlPi(YüWYoaX84&q4!&Eq 2q#OY@˷I` ۦNSJ0% wс= *Emw6I`cN&5]HcI,~K 4E?eoaϰLɿx=1- GZKA h<!ud3ejP?4!f`QU`tmf"wwGqE(2YqR2V[xhkruҬ:캖d޾,%dK*ZuS$E_7BfxF?Dlm*W Ȱ9]DOť$,R+Wz;$ͥQ!uYpDٮN|Aӫ2lDs:lh6үߏ4*aOp+OS*4nwtQ(4y_wv7 EM9Y:`ύU|4`{Vv1~/%9՟~[}Ś}I?=+]O endstream endobj 64 0 obj << /Type /FontDescriptor /Ascent 0 /CapHeight 0 /Descent -209 /Flags 6 /FontBBox [-251 -250 1009 969] /FontName /IMMKGH+CMR10 /ItalicAngle 0 /StemV 69 /StemH 31 /CharSet (/equal/parenleft/parenright/circumflex/a/r/g/m/i/n/one/plus/two/l/Lambda/zero/tilde/semicolon/five/c/o/s/t) /FontFile3 65 0 R >> endobj 65 0 obj << /Filter /FlateDecode /Length 2484 /Subtype /Type1C >> stream HyPgƻfcktYEר Q@PC|̀( 8"1jHd=WWK7l;Q6Zoy5I8;$I]zE4Y/>pxΎIc&rlx~.q=Hs;N;!"I*080*%:6?-])ߞ?w璔8TϠĸ,a=.K9sIrghEgH\f|g\/ͅJc͉@.#@"HD:1Q5e,> nI؞&E/$#(BI\%gs?95VLN{$HPfK$xצW.K_> O7aWC2W*6O[[u#)Eel2e: oʲZ d`#fHeR֢ .2ؿF؎Z]fO{!/}E8{ȱ2H>9/6 }n-= a:~Ɓw`?R{6bB,,c?bxo>vOڐ'w@5>XuiZJgxcxݹ]Ha{}%.p=Dwc<SF!9C. VIM=2sP`Ԡzp؆mTAR(Q JRrFT_Io ;@#зJn%^bë擖,\,.> }7o7'+tZ#%^`@U[m (}hQ P>IJn&N>[4% x5#M7,1N>yK孩nxB}D0咒∢|+Q6$C0 OxR,^2svYd?ެlNܭE: w<|.H` TH8(4C`L~ |#IhNûO1%2/1 h+0h*uZ)?QlV1ᕦAe<hwMް;T5+CMe"Zfg~!}ryfm榦\p .z2^Lx҆{C"XmMMmmMMm\ΈNC W/wV\QZQ[ҦLȨM?ZGee\eYE~ 3:sEp>Glk JP'unFWјuJ6PKU H2|[+fY ]c[NknT\QzTHh:b7.ߺ2ŘZgl_b /-gbgjf&0evfK:Os0L}}hON fP1֨Sv1ufc/u|fbBOW4hKZnFxvsշ.Kqt#ѽWq {e?DO[ʬN>Kʗ󅻳bX*:㸦npF{^?rhE@:*-Q2 l-*"Q-*ʐX8N~WrG"#N>gQpkr"c'@ s^гk]>f周O*i2娱ȁ ԱnArOMSw!kCd24T{՛y@mSJ.X];"\+K+:xٳr1*7%gg7dXZ&+7*:Lv Q~~7UUf~OofgvA/@N 0gwp8qxNf'Ʀ} !s_\ pqJC\mc0;7bM\.`I6okdP/¿}Or?lkW~Cevj [aW;h?ynS104px+a:˻G͝j9mdOdG6͑(8I@aܶMTÛCCd'aMfPO^G:=) 34S~Cy՚Yn-ykfӮқwuwl_U9m=(L9{yBk^ $|O&nTDFyr3:[*KWuL3o\oowywt-ξ+gN8CF4G-;Ü^)ݽ3'̓>{RC[gw}\G{cS{Ԥ|ʯ.\zҎDn1RK;Pw".\vWQKۃi?T~vė͚Z%7rRtjEip֞/ZR8Gzܖ9-> endobj 67 0 obj << /Filter /FlateDecode /Length 1237 /Subtype /Type1C >> stream HLRipSU~i^"JXad5XRKl)B6ik6;CΛ+RŰ1_ /96 0N Zi1H"sϑ> u:` K ׊!$ <O;}_ Ʋ;?[;~J\rѫWϏ].?77?-F%8?6!1+;%5bvLN6nu%=⠸鄍D->SNuA tDA>:#Hr/12nggM`tsyMNIjONH|Z]t7Nc5'JHғpI%$|83}"_g(&P6Z hgiv0iANԾ*K7Ta!k^*ŵ#~H/]ucܞz Y`P,C8W)c8T!4ytuv_A L9]*Mk(vCX :H:@y:maFm_ }n:Y/1W2+ A0'SGr_ "ۤ 0OL>1R.Bf Zڹf!j$h@4jAy![7]R@hZ[{{':!v/7~K"?~kJlbJXIx?Ћ8z&ilOJxoIyA8B?ץ A{m![w?z<#&d{82œl2^$lMԽUD 4+`/!C hOR@r ԛ:w⺮]Pqy=t=+&QF4M-b endstream endobj 68 0 obj << /Type /FontDescriptor /Ascent 705 /CapHeight 0 /Descent -208 /Flags 68 /FontBBox [-32 -250 1048 750] /FontName /IMMKFB+CMMI10 /ItalicAngle -14.04 /StemV 72 /XHeight 449 /StemH 31 /CharSet (/Y/X/E/P/d/comma/period/f/theta/N/c/W/omega/i/y/x/mu/delta/k/s/lambda/e/alpha/star/a/greater/K/h/g/n/less/sigma/slash/pi) /FontFile3 69 0 R >> endobj 69 0 obj << /Filter /FlateDecode /Length 4727 /Subtype /Type1C >> stream H\UkPWfɈ(vݨYĈ("FTU#5Ȁ0LO393 5MDW&[VJYISM*qΩs|uι((/;צ%nQ~Y$ȗ ",-_gRB^/.E$ Ee-]jMQR]U+ ZY|2WYV-+V &L)˯O}=.1)魸b GY>X uҜU.!.E;0;Ҫ4UߙT%HAAAd,BA9Y o"zIDNyGErAȪ1KK+l}{w8|2'Wu*/D[CV ! ~UwDPNb^TzR+rͼy_E}9߳ ڣSc<]ؼő/-ټɫm/_ļD^'ׅ'Р ) !VX-Lu|HTW̜b!Wo;COaTYfu r& 2p?q}˶Ր"LzgJ`+!,Rya"$|T0Ng<}͝-Z.MׁZ|[މJ}XJؚp䅇 "C;p莄gwt@ °[+HMxV aVݣ=hIcpj*U^ Ωڜ6ׇfU(3p\º yetaeYlh𙛩p;Uz`0-,9hvϾוz]zXlj--=׷Su ((!k{kRk^}(eb!g#c0A^60Ŀ:7I3Zzh![G7mkcCe˘`?&=#71'V9C[ LDgG JAN[?ذ?q t)y!_N_S@P7؅e"+CmA'Ȓ{vvu1eդOY dei ~vLN H3Ba-@gO4]GrDw8/б`- ,@G 2a }r ZeER(^(7` 8mko,#NɚdĶ?}?iEl bZB|J 4Du8>Mޢޢb9m9ݡVr<=bwb\ݎPcb fH,V71t2Q)KS,S4mrX|4 wnMHz9m+TYX~88u s0xFl!ݧv ɸFVgl`=7H6K%,߃* T1i v9ħ^XJU: h{XE$-4f+Ec4Gy|FaN7hF`튝6XLo5P$"`x(лm?WXF7mM>7S!9{z6θLD* n<5gX? SWr5Ӵ;Xwz}#h2+?v07 9p@ $7lfPEG55c j#pE1pi@L"yY4hpL?w u. &҂M6Uzma*}?GFҌRF9X(/̙#xf[R9d)|x|p肳 AnÂbJ&GpfnCEGeV)k1Lg}?JؤT+  Le 3OgTmmh׶C!c+5S\/btxτg?'ςjqYV# &LpCFO$Q'}>6P> I ͸!4nB-IaEAWAc[ eTX;rI [VE(z1Ae7huQJOlT!xxYd͌2!,~"\$?yNq "IDj ' {[`yy ;aG {J =#cU4"f(~SዩF^hW}Ȑ=p#~(Me{&ϥGC咔[TF4L4LM1f+6Ž$5=%X(zZ|n槦"dͯqlZVWS\=A(` +j4%ɖOo\0G kI-4;tR#DgzSc9j d;Rng}5޲@MFBee6i"6.}N$|w]B6F1u 8>+Dqx[U21]ԢZʩ;IywVp$!joX7EIl؛v]FWgrVx:_Hޕ)"mRYT]x,uOҞ^;ɚ䎗efK'r7AnB-{Dy>^_  UNqoX_T֊ `( ?9ϟUs<8Ia3->jv̄`J{(={РozHsPGtxEX|v R$AG#';oC*t%;<<;&,9ߗZwTZ中8ޭ.՘֪v(G e`dzKӀPRWv.y?DKKj,\xΦ [K^Y*qCTaoZ%rۖ\.zzYanY\Б6}ݱbItypONCjmIhwٌ'Xȸsϙ?~HtE/JOX]@> Wݼ?`ff`FXI٢ЩyAE@^;WڳKJ[S[A޷:#1^{F ,ZV:&0;vo/NK>#EBS^!˽8[:zZ`Lk>k3&˥B?~kIRsXZ$֜^RRZC=S:asN},?{K,#5T'+VH=i룒82 Sbk6UϞ=})Sg̓ZUXU=OϾ.+]~eӦ`8]ns%U\L!"gU^^/ `;f_ endstream endobj 70 0 obj << /Type /FontDescriptor /Ascent 750 /CapHeight 676 /Descent -250 /Flags 262178 /FontBBox [-168 -218 1000 935] /FontName /Times-Bold /ItalicAngle 0 /StemV 133 /XHeight 461 /StemH 139 >> endobj 71 0 obj << /Type /FontDescriptor /Ascent 750 /CapHeight 662 /Descent -250 /Flags 34 /FontBBox [-168 -218 1000 898] /FontName /Times-Roman /ItalicAngle 0 /StemV 84 /XHeight 450 /StemH 84 >> endobj 72 0 obj << /Type /FontDescriptor /Ascent 753 /CapHeight 562 /Descent -246 /Flags 35 /FontBBox [-28 -250 628 805] /FontName /Courier /ItalicAngle 0 /StemV 51 /XHeight 426 /StemH 51 >> endobj 73 0 obj << /Type /FontDescriptor /Ascent 750 /CapHeight 662 /Descent -250 /Flags 34 /FontBBox [-168 -218 1000 898] /FontName /Times-Roman /ItalicAngle 0 /StemV 84 /XHeight 450 /StemH 84 >> endobj 74 0 obj << /Type /FontDescriptor /Ascent 750 /CapHeight 653 /Descent -250 /Flags 98 /FontBBox [-169 -217 1010 883] /FontName /Times-Italic /ItalicAngle -15 /StemV 76 /XHeight 441 /StemH 76 >> endobj 75 0 obj << /Type /FontDescriptor /Ascent 770 /CapHeight 718 /Descent -229 /Flags 4 /FontBBox [-166 -225 1000 931] /FontName /IMMNGC+Helvetica /ItalicAngle 0 /StemV 88 /XHeight 523 /StemH 88 /FontFile2 76 0 R >> endobj 76 0 obj << /Filter /FlateDecode /Length 29142 /Length1 255048 >> stream HW{PT9. JAǔ86մ35ԑI߹R8o T4k?fRy RX'خ'7<>w3I_ jvƞ8 <=v%.`C\T׆ #v M̎{ąO54nܼ:wbQf 4ԪW{DlZ&e[đOݦM{ı^`tEjR\JdrNU%uD>n‡+MQ7u^Zꥳl = 2ziZO?F~3}tL%bwsw®iNz20 ZE]te:?L4a~L5cYfvʦB 08g)򁮃~@t -)x$+yo!~DKэ8+nLT%J + ʫX?U^WzߪՅjZ mjVOgm=Uۧ11e11x٣4i@?jbUtհ2EXgbsWi iAtч )J31EcTJ1gfVfC)i)8i Əz_3 e^\#}=@`Tohݚch~+M5Ӊe:#ΑLPAN5Kؚ^ػ]O3,{eh`8.`~mn hLNGIA[P2m.1YwY{^+n!PwdIkl^IU~iz /ka$.#ًsoZQwjE`WqK/RCY5؎([e_qz A.Ux{R)n=LvN|;YH|{rkDm[$x+_K+F`&8 ںD<6yHf,68fF8 Q0B7a]pzWOكЇ|8aA~Prk$ IGf7y]z{TFb6&K=^٥}bl;ȕOq$Xl9ju.'',;".pIMX+҂&ailԆ}` h%ntRGZo:U'Chz |٥hsǻk\+`|<^c!kR-uQ̳yV9*p8vc N Xct{ U Tsn,t.FD#wgxh," ;3\G oa3"uZ ~E /]İ [21\| %wgxhKvpW{a^~g=\21\1o[p&X6 ߏ~lNi#2? ?63& cS-=Hr ! *nyVCG,\H!d4j cM;)k ' mO+ΝPt;[ہ}̵ v1%\ a\q~ H ȇ΃#' Qv6(<6ܿ]!ֹMT:m/Ĺ$!1AjH"d.?hW ${7 _"G lpv :a%txjF.'Gy| )21*; )Vj(~pl2+ qf` ~ڦԘ,q9+4栕_ y5?Ƽ#u.&cRpא\I~+.}7`R"P $. ҅xٯج+~{{}")@KJG0J#PDP45La96+&B6!"927c ez;>?,ͯ<9<}6}TEq> h>/ B_C# |ϲWi[ۨ l}wx- UߎJK=7{m1o1|޼F8ѕ;Y)mloX˲gOw&:fCP]MAc61=Qy|Q0E~RO32)ow'G7yM4@MeK lk%lRx/vRm_J2'_́QJk|oHay\9y3t_/R:CtʯgopߣVFگNiҺ_RKSNkHZ=O9N%X GR?j@l>L)~X 2i smVߪ uSr h8O6Gmd{xkx<1NN湌,pܗ) n΢JaId<|I}81h;rmGQvܥ~Y1-CYG'EVō\  A[rsoq Oop_Q°?T@b񋍰%7Tf_>m-`iGE^c= ʺm7$WLG{pTr_Zb@6ʫR"Oms.kei<~UEz *=xǴh T )ȣ GqtAƒ *4jhdF p_x}>_xӕIunc#\=_cjMTzJz̲pd:7܏mcCZc* ;(r 8w O㜣YZ|T~Hu'Mu,\M+Q{>&ry"_Sss`G1bY8%cAO;I_ ִ;z80FUM29S~qoH~[cXd u=-/3cX=1|m.boBkSh؍gq<'I=Tt&qyRczoNxޟۜ෼d` Rhd:س4H]WK;g8Fy.+x ,9*Tf͜W!ߙvCq vD|䵻&^\mp>\>:A7,G _db!zp9/#й3X%~K&x5x$݉$j># kW`Oס\9UIc1z^tr3F.ᴏ2t'4% 2w.|: X.sIKx[.w|ŧGV ߧb|#6h X1/8Gƻ 2JZ"&Rs.Ewπs4мJc>3eu 9;4z67M|,syt'[4.XHzOouH;5J<}\}+]90.x$WiqB¨ CS!Od ]ϑQV^*2.1'h&˹,zu.gf\}𹠾ýH䜲cRdܔ, Q`W<"IY@ڳa pہޞLUKQ?䯷׌qjn}m8o"ܓ%buv/R lؘ!wUmL5x`' __IZ|:w~? ^HxF`)o?Iw0Nʧ:KTc>sp 0؉N #v! ]h̷=dv4c 4Xo{j_쏯MwnoZ!O#N-\dO0||:@aspԺ XGRV9S} |ݱgl*.T?bI9JmQòs*r` DSམÃtW<96XyH>bߊ2i*U P?37a~G$H 1S&fBčbj׼MIV1Wڒ2zUEL=0RIV4jQ}߽YFX[_w;eMvv y'=JwWeLwԞ;Yj/`o^}fx~{f!ehaʆTԑf{G0{Gl l{4䀹)R&L)ଐٳ1suW,׽XҐwǗx,*ngE6)pekͺw^1r,q;[qoUlfg{WS{ԽvdܯTv }'o){ uߕzx4n'31e㡳}PG>6'POO|ݟJ=<x(*;gw_yr!`?}i.~muӣ|0G6{au_j\ߏRk'3}ݿHO*?_2uߕL;Y!HR'%sssQ{(7 pS OfOAepT$^7]LYq*eOII#"$F*Ke|ݞH.Qr#ib$y*+{HTEYUBVͅYfG<^$HH =-)ž$Fj@>!Q[r56DYSG|͕f@ HȀGin-!RuK:$dA$H9<2 u(ݕ’}ݽ'I,H vɍHiq%ʖRFMK}n8*ԽZ*"y1Zeh}dlP^uǥD\HȊ5nlۀ;]ANx4%n.{}R͸ٸ(;HoOfP'%һnͅtG|ݒ Yɓ) G eIaOy5MBVɛ 2eWI]u:,7d@B (? mmX 8I`k`?8`:p.0;FA#MZP9yEαsK0'rP=ysR =|΢K|K0LSXXQYR^V^ͅET)XBLX XXZTwa  T$^4 ~^Xq򖦌6.,z^ퟲ |z-ή\*먲cpdl3 @D`C`#mqꄝe|i| ~4m9MO9:1͔was?l9= |,Q'Q U3Ts\l9b`k(;{:N`[U. {$UIp>(n:*׆,~ӅUmvƜn$-]y.P=`O=0- T)ުpaK RMkn_Tǩ*?@\8Hf0  (e*c)7L0FGGG;Tp*-\8J.z1$cZ㠏Q'Mp*fDpNVeUSp4t LEQU-8C|f4Y Ve}8vp>pp.v/.s:a|}ą U_n.Ĝ%|kR]e20m9pp%pQWӅ+UUeȌ:u5|Vq!uZIx絑3[oU;x<2!/rݗݎy;$b=?";sߛgpߝ^_{cwx^lVfN#ߵkoν(}1$Gk}3yސƾOßHso. r!ϧnskm͌ź0?v{pOX~]\1~R" ^*iϋw~֏$wswUy8+twx^tC|M㵝⻦ſuѓ\h]_K}Lm΋>(-_~Ww|6~W +'?s[i6W*z+nwBŕ1A|My3g 4Os"~H7~fL/"U!>7Z1_"@>A*-$ '[ n"8Z'b bK`F] pb7 cXN/a-Ty }M9F;)aqx-y=oB+w' !36'g 3_F{6'1CCXhyxB' ]4lzEƋzEq'no l[v؛`M`=X0C#Ab>G*F^m-4;clƶ{ni7Lh `ݴ}-Anl?qo|cdiD>#;_l3rg'ZAﶍvqBl{ 66:η=l:އoE—?!l|+l| hz(>G")34[g(Ƌ7oW އ(oq .7a qj÷:o:ƫQC6w"׉C8G+$GÌbKYK9%l϶dN^ON+mvj8YSX7Y̟Vƺ6XlSk$!6Yl7"?&J:ym=M֚sߥsZp_KiVk6m_iYvlu`ȈmMJ:y휤w!?&gdqMI'ݵvzjz}1'Lg5qPm8gdq=,NVG)1yq43o8x ϶d)%NJ'mj8Y3K{fkm.i<羅ڳHkKo, [ɸUWdqVz5[3n ?&J:yݒF~M'ϪduN^w˩r.g9r,/,a+h=юZ?KbuL G?[ǒ{$-bT.+JJkzQn[VM;.[d\泴e2CKG.{{dO[dk:r˽В{[?:0#r"~9BQP>.G1I9NNOgr H)C,-aa JPsDDw!ЉhxWo'QjfRQh'%j%%++yUduO@;6ZDEg*Յ<8_WIAvF)F6)*Щ9.fU9*[vv/d?_Z!ڹh њ]Zkxsg[rN/J~(!H]-_y+U[%8wU^8wUV8Q:AΌƙ.q4c;` V=2{mxMhZJ_y.yk4%^<`^db+\gmYbo+XUzv]Cz]ֈ.^d[(F1kD'Xobntu[bgœW,.Xgp}w+y3،_y^uzg3seu6K/R`^Rr~bc]b/dS쥴eiѻeWRJ*q5)Zgu]fݐѻeM9n6ƺq+Fz){{؝Xw믴fطN20emOZ>#}@ҟ+SscKN5G>'OK2D7z3}N_З-~'lԃп[:Dyz8?yx/~g%%*J-ky2Z.Jav5-" ".toKs=)kDEXOf$*SDUQMTI98kuD s:.%Z3s=Cn󤰞XSֺi5'؍^&Ƹ(_4-3g7gDk˞R%[ qVJ\!q!F\zcVōF.:2vR 7c] ޖjjF%ޞni;=`+X{0-=Ž3}J.Ulc}S~̵=P uPgC2z:LkÕ|P<`uDdHF(Y s}c'h/({lqX';SZ{:k3X'1>l!#sSMMfbc8S12Cl1y/F[ "jQgXR֥b,Q/3JQ2kL֊uY"3nnDl1m"umbYYwoxQ{y@KQdaN|9d$眓$H99K9U2 ".++58{49q^:^5rku m]_t|xߵ?0n:82>7n|ʨX?`;ƿbp}gƿ]ύ/bpG/n}}_߸6귎{:~gϭQc8]C u3:lJ_cp=z,DIƥXƊuC+#t9?k=P?)zŵ1_u|ޥ견Þz̆FƖGk>Ao Ú %s >~U5}*ӄϤs^5} ZlVz˰ڰl͞G'rf{ffGf'fgffWf7fwX= ;Jvma}Gu* "a}7*k+}ѢTWDbK>̾VFT1Ku,CC,SE5I&`ɤƫrx2ᢳp9dbfCvj.jj~ͱ)9cL[OQ )aÉ\NbNUʆZV3$ 621[9 IjKFgHLNfYO=ْih9\eγĆ<%ʆ 8rT[.j{E\,a.e.c.g`dCWaÆˤˆ˥dž+߆+:H=4*WgN+ZkQ<5IfZr;70727173XU9j/:dMRfRDXωʭom\gK mCK"S#K"[k5pb7^٠O2m̃CV^zfÃRCÒ#?<£cg`drQu\ +6<)sX-jII[p"hG!G;Jxt<hߡ3"@^Ȏx&t[f :й݆·xGJjA4W3Ds*f\Ac~ ڜűjWgk}qݣ1,>p ³e`'Hy:PZ)hOxw!qxVvTk aN{fP홋7K5a!5s_ab7LX< dz2eMX%h7dhb)Ђ%S5bOciZ| w]s5̌~+>A8x \ uoE{מA<ˁO 8AO8ϸq ZoB9ǝEw1=KfmeDl b= b91l9ݐJ"x>toW xU>; YH$C b-VPZ*Ȧ;#loaJ Ŷj b ("P_Ղ b}@!K7gΝw}s98;U> k[B Aw և&+B1JŸZ➳h1Xap0čp»QT8':'hV"#GQ]$uMɘhE!'Fa.b1'| Ş>-k7l#q)}T3 ->2{&b}28|K Y-:Xϵpʊ:OG'qǾHLGu]牒oׅb&a'+%A (ֿs=SeθC6S:+|f)k j⻛)xh X) 9SjR4āT4>jJG~ e`͐?e`( {'c3‡LsGcY1Cs]vcPlwAe21p96`->QR.괏rsr۵ZnLeZ"V@f7u8E"VBִX{aŪ 5 ?˗wg* W-SxkZ`mI+=  JRHPIaFX{pZ֫a'zYf[cms,) (o^kZۭmoimRGH בY3㝭ׅdfknv'ᮤ0Y a0^_kY{ 7AvI\RZ,'V J|$01$Ϣs֛okZdK 3K὆[i*kW[ڵ>i:kח8 G!@FVN6¬-J޳gUd$H &@P0". "3r$Lb {Ht!]FZ(> SH ??L^pLNP!qO~~>$'0$4Ӫ@ 0Z). "ie8g ^$Q@\"'`B @P]M]DAEeO:T]Pzmu'H Qc@Pa8D @Pat!8:$7sJ'4\N=H ??I &1 ) 4,,!8 ?5 ?٣mI8 & I8 & hm'~ oy@ n&?L @ 08I!Lx]yoWy',7u G{?x?p)=D>-Q9nrYg |ş|s$'p |Ϣ_x"J>==\;+|'qlnrY{8m|Y_:O'| (~a_";I(xYxyS+zѦ} uBT/z^jjzT=N;Wsl5W-WjZP+ju %QBoқo3zڤ~_9z^Q?_/vCԻNKA]EFh!=PCH5ZU'(5FS1.\Sjfx櫅j:Ej:l H=F$=E7y:U=֫:AmTUϪwz,=GB{\'ڮ^RFS{j՛-ͺ^㙥 ăBMB QDzPeJp`{lTbաJ$)SjH(w4fNEٔCͩdaɥԊZmjCmN:]Cё:QgQ~|ŕJ|~nԽ{ ]JJX!JU TS8QU'uݧR@(jB=mSԟQ/9=km?X@Di]=s#HuAKWEQ&ES^_:\z+*IzFgP{tC j@"F!2lqj#oG/}+{k K[2lg2kmWgm!j< z@m{BQz:9JɡGܘS7 *>E=F64Qa<"DDɈ3S]|>Ҳ/SzӋycq?prqٕ{ Un^kG]X.[BKi-T@+izV2SQQ{-wwwwRJ)4@)RR]J:{体Mv??g`fjϚ<ٽՅAL~ZT-SibJľ*j_jv#Q &vUmSSҕjګʃٽCNyIGLhg؝ xbɟ s xj_bw9¬+9%t5u][nu+7zzRR9Һ_lw|~?UWA"M|A98F'M>6\b\~]'paxҧ$&"&qRbruKIOͻI.%ԐB:=JA2Af Ӛ\6;fNgnrG[#SB]> _ 9*,SBPIJZI'gWJB)( e/ jyb"wSC pIbU鴾TcWj@MԅzP@Ch 4fIeEqKb+鴾66p-wN;AGj'bgw%v׭nݤSnz 7]] nCu{>fYP:?G0BcOh1t&0iKX K/ajQ\ ,fQ+[ d’&_J: K+în夓 [*VQ:0Ħ*L^X]eU5I'V7iKXӦ^K:vJYK) l K'67N&/lfQk[ d–&J: [kîn [:Q:Mt2yav]v!L^{I/aozd¾*w(}cS$L^M}t2y{6!ԇJ'~`S&L^!#cT1~0GSvp%yj,q%n+H8IL)[&}o ^:o3Kk*\k^z } nMn n>Manǝnn7~//}#N&/|iS%L^Z:ON5_`,blbb\b11!1111 1D@HDLBJFNAIEM &!%#' $"&!%#' $"&!%#'V V$CUUՈՉ55uu MM͈͉--mm]]݈݉==}}oأۉqזqyN@3D*>$.1O^a"?J>-Q0gwbRgpxm&39+\Sn0S`2 7\̂s E`Y܋o)L\/m&g>Z9 #WYȕ>\EUXک!+ڎT;KWR>KdHRwVϙf4|^AI&9 }oY =\W!O"Qb0ʈ7G0F\<7[^胶~"{}Dw/i3Q5$RC11Q8g\Q.ӻʊ٘uaSA!,EIJ2wux&"HY #$Fii= P:Mg>R3#WYXk8XSC"h +|z{9?KII4 J͙8?T "3PꈷnF7C"%l:M3rB"@#=a3nQaksse;>h5mׇQ!b;CbXNBtJ!)2HM/r*(DPR(vvlݞ E#PPr\ץI2BP&a,/7#ES+i=V܋~u`<1y(nfPϘ&>G#tM[<'ѝtO4T7+4?` &åꅩԇU> NQ8O,s׼_W~~z^+5\ ٜë6oЙ:#[~wz.TT{՗u-KkG_M9:OuZ1D }NԭuS][ס=vt]]_ 鏺19}[VnF蠝cwk5gw[O컭wϹ >^E::&>;ic}(nD5ޚ *#ʵf[erQS԰>7"-0Zom֧-2EK!IAȲ>=IIt NNNADSӾvN׀(qQJQڹKY"}LB ,K|FpT_ʒ{/"*bzKikzK"*P "%hr+QWj,EDɔc,pN&bM᪝pz݋.mtPUj|RV/Puc2 RXrٵNe+:Q]eEU]e7!c#iGyc}mT.ITMKYpٙQUtYQUbl#Qve&M<;Ftb쬭]G]=^ˡX_c~ߣz@@A;5tCѡwG c{ЌQHZu^&Qȏs? M՛#F2>-arҌ4=16QCQ+bds&gfib/K#F3Car^ь|^&v^D6 qe0&2&3dXc1sZU8YJ 8U*=}rNIU,Rzdx㽹2;g23{I+B׍10%6B׍30Zt\dG5t\dX:hz nX:P"dX~eRKiJ˲ cy*]VF%˔_t1L*yUY-BW7 bZym@1ͣ3S5Y?tLdrC4uɘ0ԑ(Gkypy,8γƃ4u<< |S:t\cl,Mm:1z6b:.ט{<ߣM=h:1?|4 ypI{ |ZS1טl?k K2M}t\c~<|k_M577=-+9=鵆;鵆Qfz<@0kG&Oȏ{t!g3}~@<ؿg4& z엦 y_y64- 8ez"9y>G5Dɟ奀 WS^C̱Xc45"ݬ8PyaExMM0H7p^elq&^CU*p^el3H7U!༢dцJ͔bz!G^ٳRM5<鵆yUO汏,˧Ƃq`!0X`"X ,`)4X, ˃`2X L+`X V5`-6`!l fM`& l[`-lf`'3 v=`/7  p08 #(0 ǂp"8 N p&8 p!\ . p% \ --~c5_Df?~g8$QRL2,ƽ~(~2SDIS _%UUJjjfۯ!ʲ_,Ͻu):_?YodmJ7q` f<9eiVʽ7P~~Gʖ,jߕ2;6t`:uk.+mceʺ j!+m6beʽg Ǩ8є 63Yd+S~X|ǜɗyr 2_.1_e<||/WJsަ~XzhKsrrLٻ"A|٭dwFvx{o;@8cd?"{ܶ'Ȟ ۅd=Is}NN!:BmlBAVU5ɪ:>YUdN8YcO!vȪJ,6!fUCȾFv(wȶ!{l[Ȏ'O}erk)eUVMDn4OVJVUzgh}޻bRo[PP[jGIU)jw~Jem>t,Z,+]dil!Kck/Y [.o%{ȧ$d 0g}xs[/:LFow&KKm$Y7z[ԗ^P Pi@T&>Q tiP_"}Jo~VOagT=)DiJU2e'*9VHHekEU>mN]Oi$%K''>oiSYig|"%6;*ݟ6SYfk^-;Uu$Y32Y//`wEJ)z6D][d/}d麍vD=S4Ǜe 6Ѷ҆[lr,]vPT6}nwdi?YڥgdݼxQũMUmZSUΊ\A&55#T'U7\566ǡRՍZo_ܪQ ᜯڸzapU(G,U}+[ gO;x-U'zj/ߟ~p6TgVa~]EW)"o-##_ǂlwġ~Ģ)VpG,j6U?H?QOT UWzB>d_AbG='L EG8Kl a gd4u (81b/{pϽ瞻KGJCe BʴPq Y0T`'" WZZ!ZB@nJ !@QCmA*QPl'=4G3ϙs^ݳ`B(1]`04gV tМA(B 9Pq?t МA+ CsaJLW0 /JLW0 *0]!Hh(P DB  u`W?xLCT4H8 D10 %}B 9pLW%+ ‡`B(1]`04gp< 90"J)#P/9^S`*t Lu7S`*)5S`4Bi0R`j605 FSjLMєFi0RS73{41OZ'y <.ߑop/O VUx OR?ߨ"v']yL'`8fc-ŗOqPUU /?z2_CG0|wᯰZqI8\,Uj3\CmQZ(rRU~;/yV~"ߗ`_#8gӸ_x¿i_nzҩMiKTNi&=AO4H/hͣ4bZDK/G+ZJ(.SFh5i# JS) TNU^]P U^:O/A:LGC*ޤ6]:\G=Vu~DzEz~V|Bԅg'L=I)z]w&]KfX/VF^~]5;Q3fָB`-m†٪qc`q[p^׻=7w)>H`? fc/fG/ EU*eI,PNn1~&{\z0沎ZgZtVpFth-bƀ%6C U˶9U 9(iՈCOTbuGwlX⟺Hnsjc@jkާԝmGĚ k'8,3ͻ&XczC |uwNV/?_ZzaOxXV_NEbWn|)q |bVer1>1swrׂؘVLܠX#;9~wtutqtrwuvl s:V`jQ \JvOAU-r*t3W~>QVV,vj>20c)[)cC)a0x3> &D$ߦϠ[bnoޭQޞwjLȎM90>~Ȱ92ң2ӽKrExggDEOȱQ^쒞8wt7':3;!:1<7+H:NF'CV҃YĊ\OnRQtE20b+#-H:NgJϕf+Ó?}I:ΨC]{Sx(5zTO`$8{"B'o`-/oƦv6fSڰn6D \ :E :s6˕iÜ}l.x 28;a._Bx"62rl+`JXwQF ` "6l.ϲ YlYB)a+l#`a;y *xv怽l5P{B-Uk*+gd#8x sO\p>c}" .%U6@E6Yb", YŬ2֫ օT\T\'#Xd =z NɬSd C&Sy$]ȣ#13e&9VfrOx> endobj 78 0 obj << /Filter /FlateDecode /Length 34351 /Length1 261764 >> stream HW{PT9. XUVz5|ň. ٵJ%0$݉hMvl6-W'3IMQ?k#5icƔ])Z==w~%FD(L+j՜"DQ9HTWIDJjZf־P}kݓ%=Y*X5Dь%-#:Pm >biuAzt(jMMx 糑֭߰"wd9Q^{V_U'q;x54@S_^ٜf#[կM$NfE껔)UɥqD![n^U)\Zl&ކIi/b5VS*3Tvu-y6S eзi=mBw' }Aaҙ+l^61n^$>O|?O[@|,n*sTS؜q+k7/0YP=KAt[O{XxeN=t ,RT-bl !{똅K |8O|)/ i>#6|2i}6RXE?6s2:/dLQt3&dii٭g51kbco9qc3RS9zÓ&%I=za@3& e^T#}=@p@ `hޝch+M;Ӆ{2]LW&Kflͣkiu}wufXBep汇ܚ(l E<7ulea7P2cn1Fw[{ V>;#^#qҶJr[ "7x@>HFʋWsX6 , VE A^p;-~@H5(*#CH P&rip+գ~c\c,''Ӿ)߁;s̕:a+; tɒ~I/NC.vj&E*f" ?Ckg13i^zFqN*{$5OֵM=c3&IS>t`d#!M=%51ʘZ9 ͏@M.c;ANJ jlgQ[prrz<[+DB9+ZDWFB-aRFUğ -Í.ZYB\YGDPPcU@H]6'x}}F؝f~Ʒ3p~?#޸<d5PD=atE"i7;pd,쵶º#ܡ;/93Qă1'v̇p`5(l`Η ?sO?a@b!1~AⱾZ}?%hGoW`WWL:P~}7WzFCF wRTR&d,PC`^RZS =Y4)3KiI0_Ũ j~jCyG\1M'9gw VzaeR_>6{߾Ƞ|J)RQ,- @&`kk,á MFij26 sJmV6&B6!"927g 0s,% }9y9}`yCW[eB>P܆ۣj-3A0V@5h>@ i,,`]FW۟خʙw2Wm }#7s٣fckdJ8]բ,}f{l#j:;,~ A>w 񽄟Rw0mU++;[ $skjt}y_٘EC1Cp1SE_AE M:봍/.d2uT"uma<}ޣ:eg5\`&b>L->)~FYY ismQߪ uJh@Zkd({-x9kx<1湈,pܗn NRa#M32[!zZ>Pmq^AQ>9w*`Vcp{PyEQGQIqbİbaF[l( ܛm09U0P?_bl=>UGagskgXO`BelQ[c i$!p^:\׫X68KiyUZI|Es,>o>fRF|tĂjg b m=7ZCՂJ* Jg%n@ʬP Mx |Iŝ{;P&P{2h'I1s~Շ:en[C^x.s&ۃZRc;|/8Ks#wR&/3p;"'y9I-%P{M4 ||Wx+ 9˪T͜#v uǶ|䵻&^\smp!\nj~v,GҟgR !Zx9/#YY,`%|jn žFs)e]8k!n{}<nF~й4 &3Tva n%/m B9i|~]}٠wiS.wLʁߜSC2!<< ^=)V<W{6XnzK> QN--O {@Z{ނE*c 3.J;)4\I=ٟB#=줈+)>D /B“QgOֈI}o5,V!'%pp6E 0(&(~l{a¤pІAE.rwo:{×ӂqT`P2^}_ݞF #<Gm[M/ȞQ(' 32;r]  X&؋GwQN9⮔S}JѲgl*.V/bI9JjijmUò3*qza dMS]Ãtw<96XyH^R߆P?"i*=LP yt(8?}5'f ;$+v~.Ɠ!(8dnY!LR/2WQCd*a[ͧ!$z, D ốhL(]Fn<\(LY%)@ ?ߍߍ o'꡸z'mGqߘ$ $FcL–A̸^mᚗ)J?z֖G7"`j4 LrbQ{HX)f A2,Xi"\D)${d$vi4FҘc$ei+FȼRiW&H&{bi'JvURJT?-M«^: kv-aP) =;׾]\ŵd_QuiZ$F F&3|9}s~wwGjij-|-FY[NX{_weM'a}KNyz^}Lo_wԾ~N(=ʠ`eCPa|=ʈ#2ɨch_X0{Gl$l{TԀiRg&-s3-u/T,׽T2wWxɬ&fgU)p:e͆wQ&9r *1;۲poW ]fw{O S{cve><Tv}'o){ uߕz x6POO|ݟJ=<y(+`w_Er)`?}i.~muӣ|0G6{au_z\ߏRo'3}ݿHO*?_1wuߗL;YB5NIQ\'WY><=BRxwQeŨx=%եzGn}(dvceMH5u7S@ͅf@ HȀGin=!R'tHȂIr y2 d@Qz{)M}%z~5MR!+ L`2$`P41/I,HbvȍHiieʖSzMJ}n&ԽV*"y1 zehcdlR^uǤD\HȊ=f,;ٻ=ANx4%^*cR͘Y);LoOfʎP'%һnͅtG'|ݒ Yɓ) G)eiax5M9BVɛ 3==ʅ_xH.A}Y*R"}?[2]uK#>2eIu&,7d@B (? ll|X4Y`[@`p>0;ƁF hA ,8u%]9 d?#K&7h.8uu^U^҅T/kÜBJ.,z " cڃb⎮G,JmS @*MC%Z%c! S'$R[۹jG倏::r{G'I Ǵǀ;5X*]XId>z`eU&*ZVV^G VS%M*TDZOtz >"TYf) i58zJZzS6#Փ*멲c b>xc` >PA6Ri s6uu5)?f*?f 5rt=` Uθꟹ[rI xvPڀwvvq:+\=TTn:vy``WGQME-6d.]rL'WLn^sy@i~GJS ^R0Ifh^kp0pp v&;NP޾ d(¡0@bpHGQgM3Bym3Ry=R`2Q688zT1$p\z;qt2A&''@>գ NRdU868I`i 7A@2գg"8K|fsT9 Ue}⟹8vp!pp>v/p:aY|}̅U_i.Ɯe厢ε|r]61m%pp5pQ;WۅU5rJψ9u-p! Zi[x㵙s;Ux"21/s=ہٌ;G}?qߏܧsߋ1^_{Cx^tNF^Cߵ8koƽ(}Q,ǹk}3WyƾOßwro.-s!ϧ˼rkmψF3?N{sOX~=\Q~R" ~*iϋw~֏$wswuy8+"^FiwN+wM7Ns;}vY|-;˕cghs^|!>,y`;߯5{Z|n&cW~Vy^ʿ8X|eM\܏Õ1A|My3g @s"~H3~fO_!sE/?WYG*`fUTD6AEEEEQwAl.")((&DMLLb5"bG3ß?99]u^ l)7&l/0}4nlg`ʻCbc/#3)q(0>?@;)}= W~ ^9]P~>܃1  ` b!X#u $c4oE—? l|+l| hz(>Gƞ )34[g(Ƌ7oWC߷8r;݊v8[7U)@/@;!Z@k#BaHQygdq]FI'gdq],NVTkX:7Y`cmFxl,N(^^l,NUjC%6Dk͸ZKR{Zi5ўZk}c@J,Jwd3cFl,NoPk$;6Yl ?&՞J:yZ룵{֗G8q +d8+4m%NǐmXj8Y 3q23o8GeF~M'ӕt:#IE~M'OUl%y3_k o,{A{im9ԞUZ[}k2#Mg׳*FMgdqYI'[7϶d{Y5YnWN-ȹr\(>ku7ַw,CK9vIR<9GRL(Wȕr\#r(7-r|]nor)c2.Y2Oaơ%wʻdW@k +{%|v:lay: 0#Q9DH9Jc89^ȉr"S4|\Δd@Jbiɠ %䞐 TY 5CLFtA]F ~fY *,ZVP)y YSYhUFVUyUs^jC{կ Yx;#_y2tzN YNJV뢝(Y;OWavZ vcC%/fFh&֚06՞Ol )R-4KgŽI N^尿UпsW%usWelU'꧈ՙ38%sޜw`zܪ2^T1r /ƿK0Vk4OӜȽ6K\ksD\ɖ|Wze\bJk3^ku!S&kD;XU֙:R'{Ks5 70H7Q7zi1ݍxtaN'{K2t}uµݞޓWɾZ:  { uhgóFcC> h= 7:1kdM26)4G\T錏)xXg2΢'!֧O畩%O5bL]i_?s=b+7}MC]3~ ۉz;}O'r| 9IIGΒssVQUYUeuU״eE;uC=G.9?U{[w:봎gf?9㝷.Ẩ%cHFmQocsja_KjE#9O4Hׁ4(2Ch(8vN#pq6rchluGMt&x:&Lu阢TftO g,S]8نǛCsp%u iӒ8\K,?u%õZ5ȹpqm4ѕجj6OvwNc]wy:v5^~#A:D=\Gɹ8bㄎ'锱錇㬩^Q]4]џ6|6S2S3312s0 31K3bbe>lllϜĜΜŜ\\\<$?>~?3 2C03Ș>ɠxTHt*NB2UJ){*R͢]f{021330KӉ?fzRDUKl"2#IfR-3 *+,PO#Μ\<$f^f>f~ffAg_f.Ԍžޮ견Þz̆FƎGeEo  %s>~U5}*ӄ)sF5}ZlzˈZlŞ6K-'p9f;f{ffGf'fgffWf7g_v ;H(v-ڽ{[0b CD,t2fRsBC< n:v3lX f6_}}:4־rBM%|١9l٠A j?V+†K?|>;B/@׏<Ve~>7n~a=⻝x{}m,4O~lqX'Cǿ5& Vc\O2 b%hl%T{psи̎ჸ6v sw'^HN %! o90=)T05[&[b*la҈itYx ut0=Oƻnׂ@|Aă f08!̐x ]:k_!MhzW{Gĵ )ƽHpdq035DxN!Ƴ= bFlx's6C_BoN0Q a{a<p_%UUW޽$A $@H c 3(b2L<~$ 2+ Zmպ b ("PaU ]7g|Bgu=޿os>7Y$z 1> C\D? *FBG`P PT|G(r}X2- # USw F|pF%|pg%p;!tFe E`OW'shV"1#NGب.:dLP`M-b1G} Ś >[,b7j#y)}T= #^2k:r}*8K Y -s  C1w{~w}c]$bm&QmWy$۵Id$T2^%C1׺Cc[` `WY#>Po|fJw,k~WXC_Q}w#7P7BqBMP3F(QMCHE\!ӛ1U:Oc(sn)sxGiX;>0 fcb?%ґDzc6Q #u C|sa&r`&A7orr1|ڮb5%*I>j\Q¦[zȨZ1aX֫hmVr5,V^UfmY%;MS`Yj3 &ZdmR_0q{YOa/$&os}Z wOҭem96%ŅJๆ;ֶNkZ{w[ۮQ0{kOb|DEŅڮ$kjkה< f6utym DFm3L8x@ ?DX F^%х`BtA g]xzFpD1 Q @Pac'. <.eM`2aj/ ?C~ ~N A*wȇ99ag]9O+O@5?C{qe3xp5T\јP:ePeS5f-S jIw6t'njGqE{@^~D~U(WѻP"ɣn7ti%* BC)*mT*SjHFqT IW =uOF= }ܱ/g#i AW=Zxc8jiM2 }4E^u.2)դ:):I&MZQm;E>&O$dkw|Sg*Ms81δRY4Г7nn{v3BF<ݣ+/gP J1 PŠfCVu[<~AV[[C^lpd8S]nj{uUg[Wo jӞPξP~PJN> 7DOA0Q}lC azjh4Xd6g&#|ߦ_P!uآxv_xq?Ivg8%95sޝgwxY z\O팮UvB.SB7T4oCqO⩝#vT=S Rҕ7zޫa~QTQ_M7va7_5GЕ0>1 U1XOS>!Ϥs`4`-%9H9 1ız|fo೻80&$=& `:̰)w3m6m6G:` n>Ez,N`/ n)ĕz,ctjfɯf&Ԫ9%ح o"nw[آ6v;a=~8+0pN;iA8&}(S&\ 8k؝'^ ^pU=.J'vnua[.;^-}H}xOxdzXt^+x o-ӳ# Mfǟw_gn 5ZJ:1F7| LbKƱxn9% %D`RarLAՔT9E&ɧKGLo23JuV]f,&.+fNc1ws|Nb.aN_<&O:|4%,het.ӣt2ya /)ƿؕfWF,j L^hSN&/ȮU4J'V3iKXæ^S:VJmYI)m I'67N&/ljQkGsd&R: [kͮm YA:Mt2yagv]gW]:N_^6}Tb?ޱJM}t2yG6I'~bS,L^M}t2yg_HS8㮯؍gp~Ehv3J-<{OpDDL^tMa7IW8Ëҹg698pDp=-%'p).w`Ws5>K#Z\? N&/|eS-L^ƦV:tGN_ b4btb bLb,blbb\b\%`Җ yMpWucbI7ϙ`2dɹ+L]9#Ĕ>Q1+a^Y`Z鸷H8L++%ܘlה ye9XAb6^_f*Qs59RÖxMp+17yJJ2N@XdJT̨%:} k:9A.YbY-ke;;(C49?"yDʲHsBT|sUU Dw&6UI8_rsDj3ToJǾVT*:QZmٟ~$v[XmM]w6j?Q>Ax;.*=ՇE%ǻ rZێ|w{3{ٮ>s;~,*'={Y!*߭Zb۹sH$GT_q頖W^:n%_Yt"t@"P{D?%zTs gMf9h"l9 o+rQ^b_GE%~!胢C# A#-6_ Bsz'3e$vl-ÙB$i^4<`H@i[^zq{}c=Q!QvjH%tm*KL%+QM/%^4zXfYh'}gLD=3]|~I&9 lY݌e{|ޓ"TFZ1Je0$ƥDΥפcD^ bjLo P†,LGrC,Ι(t WXw9THd ^XnD,)+I'U;- ^zuC2gYLƻf)(ljlMyNJI$Kxo;OYƫp*?qҾFs/Ld-q;5\&PG ۣϹYOzʨeQgI&J> $UGe%v3^R)firhBPEGV(;ևnQ䑫Qkųse;>hy5m׃Q[$v,96$(VΏ&S:ʅݫHϡw9(]M;3 nτ(Z(BuqF#Ixs͛剢T/=!ݓҞ;7]IOǪZzֽt* -/H{1ٗd0_i/nݻK[y \)mUW ik)mHI q`0./,O?G;~vB/`03JJ_\TSާNw&I)܅B&s7=~(`Oy ؆j0ګfF1S=G X8@< i(NSԅN<3۱=CQ[/J%9<_yR?^‹x)/t:5uu& U4x `c18bz{<NQ#<č( _M0~Q)B1lPUޮNW=[#M5-NP&QoL;c1P]Os~uZA aTwSsjAwܓ~u`qxx -6&P:ȟ1L|H/3y._|~_׼2^e:Gi\^y,īio ޥ'鍺ڣTտTUޠk;ig}(xgƋ"HtYkD3h }:a7Z/ZEhe=Es7o9'&uRt}}3}s|s}ySbQjokk6$JFCT'n>EStU,*STe YhTaG׀TYx%TB%tuStPo9mMlPoyRB%t5P*S& USzu2_9ILW)./ 2x^18uo}C7ūvEw/߽Cki$JYHIN+Ju c"v^e :9wNnVu#L$,4f-<[찪[윰[3V0;oۇUA˥׆tb쬭]G]=^ˣnCFn`졭QI7y}&v Q+d7m>X_1ߣz@@A;5tCѡw gGÂܫy1HMl22qə~zcɚzУz6G3==HNfYܳ594ףz6G HbKh4£z6ʣѐW+ 9OhF~x&yTF2Ye?$gfkb[hG6mCFv0ArvjFE=ޣ=_FyT9xH֌|^&v^Dц6 Xk1&2&3f؀1cSƖ3rZ>U4YJ 8*CJe_ќSA)=Us; TAPg_8*HQ;S%&2gVqPI< %VcGUίi,dILdG ίi.1Iy%&#k9rZKLQvKJ:u]J<$*uTTϘ*'Ob 1]yzRVӹ!c#GW9Hl<%f(O_wŕM]! <)Y\ی+p-gdf3rt3Jb++1Gy&W׶al*~mgvgv`ut3Cb*܂/;ZP (!ǀr5x= }тNA?}=7}# q7A?Y~Hd xtC,x'W 3OW< Ά^88z Г!w^=pW ?Ao}|?>!?x,/Cτ |f߀G@φ@~A'A[PP Rл@/ }&<лCV>h![WK9.8z?4ٝ /grv gpgwpg/pvX)+HYQ8)+KYEjR:КJyՖV)wW}iI}I+CJ睑%R:ʖV[)[:JɷշUl;>qLSlX'Fb"abX/ψqZ<) k.f|TLb2F)v=b/F{^l iX&Vu'uq\0qPG(*)=yjv_+_1v:yljg%RD O%2,VAQدS;kuua~w;OP|N㝔ЕA48CnJ A#iT=ciOIyKMOR>亿i+/Yiv@tN5Q|Zr!- YLK2rPߊ7:! , rVy H*~ $ TSw:NY;'L --Oy>Eɩ3.~i;~c1qr=穁Xwbu+^W5h ${M5 ^)ꘊ0 fFotso~j+@k*ߍW/=rg".4W$Ѣ$Z-1vZvgyc\qQ*?1=WO'iNSx)h]Pz}E=Իx_Dhbw&xwAl?goowj^ nHKƻ ک2]dn=.^2bSs~=Es|0MG__3ޣiz 0F8i.7b|~2ީ9z?{Ӯw;5Gkb?3]dA+Gƻ ./]NYMƻ :w;teSwv跌3G$?3G$?wy貿?K/.7㝚znH~cH2x_Df>~d<8~$B %B't{ {'"\VYu]DW"(kAu²x?ǻ {͝ݏ9󿗹瞙vx~n5ԲU|դƘ^Y>%6J׍3|\KGd!G5t\~j0XW\!dQدBqkv` B-*%4#Ʋ`9UB-J)Q c%0US+kUd(_tˆ:XCSkjdZm:aX'RtL~k^.d\JC1Ft151_`Xd\Js1c[r)M&RښoM˥7ߚ̥t0ߚv2|\K(]Zt,.Qv3:{z΄K=Ê^XQ3:{+Fg2htA`Mb2<5u<d:.טy<~M=`:1?|51ypq{|RS2טljs "7M}t\c~<|jM5= +87=F[Ffz<@|?i&{tg3}~@<5_&?{禣x_x6ӗ4++9ewzYy.{ 5DŐ\^˦&-q2ֲM5h7+*r^el!0^S ^CUJ9/2X\SM!*a 9/24eL!*k 9/26tg3^kđWlJq䩞TZ#'GPc8X,ƃ"`X,`IXLˀer`y0J`*XV`Muz`}l&`l6[-V`k l3`Gv`O`8Capp8ǀcqxp8NSitp8sy|p\.Kerp\׀qB e?Vı_Z/$ _΂~gDQL,ʽeA(~2SD +lr+U̶_]$_i,˽u(_/Yodm 7v` fɊ<e%R6½(CA?STc#e+w5J X{{:0{{Y6벒nD}l0 YroD:cTmhLٔ)Wa39*l#g~X<ǜΓygyr JeanS}(YI{ k;YWX;ҮM]o?B=B`@ q>;AO^ Kϗuud_``I*o /AVҀC;5 BQ N*+T[%7>q}>>xO!JQ TheI ߀(Go甛Q/T] UG>Pw}qj|6F&^;r^ry4Tn6C)B, &@ ;Ix*"E% H7J !@QCmA*QPl'={oGsg|3|sV0 %?d44 ÏB.JLW0 -`B(1]`0d tPb`h +&`E(1`0d tВA+ CK + CKLW%|`2J$Ԁh(P &DB=P"50 %h(pLFC/`0»`B(1]`0dN tВALW%+ igX?f= CîN00 F Cd'|[0 F C i009 F3r*99m&hNNۂi0ӎ`r4LNќ9XYocQwjyRXFƓxN>FmRE~vć'8Eȣo81px#qڈx6|\ U< |Ma}ZUǩ>sqj T1QMס*RRR9U* K-^2~W<#?qމG)\/ZJi whm,V*稄h;yyjA/NEjhQ=ZAz^HoЛtTz.#u'I:[?8=^GBN?t^WMQԳz~DO ަRoͺX-z^ֹ/I=W <]tޯ5zKwQz'*_.va7 &6O C/'h\a]ĺQk >m |oϞ~Wyru]gj'Յ#qQb}}k~[#F4Uղk,l*m5 7p k]B6r}]W< /k|#!aX 3YaUM^ birzv31R}᝭0u'tzDG53Ӣseh58L 0,b,HbmU\Ρ:V>V9(tH%vXg{IQi)Gk{U`ղBq>wk+nfaM˷GdY՟=.~]Z9rz~ݺŋx[]yEbֈRQ=Eae0k|U)q}bvUr1>1sGrؘVLXGrw1lll s:V`Q *vOlAU#;) 5yOU=vvh}*0T)mc)ax> :$D$tԾěl͉noQRXoipm `9$>~șU9S'g%eF'G'e{LɈ<Dy{zCLDĨ ,;XYIVdy2+s<9IVe vù7kڐ f+#-H8gJϕf+Ó?}IF yl:QIGy{{7jD($W .^WYBzwV쳴wAkhmKmmYv, :@{@G^HX`upA BHDC7 &\y8z f?<Y\'!sY\u._ rW\~ JXw V]fX <` 63oMl/^Jy2lcq@Gj`Yj:깦 xcpGNq9  g!Kps{b ~"b B8,K_-V_ NeOpɁ2ArLGz*)Ȼ'dSd ؿWar N9Ft#I~:rkfLrr]&M\g{m:$CAl , H=r %L0$>p5$+`hB`BbJ8 ev``:j:a¡J$Moެ0F`|!Y*YEޒtdӑd3x+ Kzm}m6p?N ;wHgݰ*H;) ]b7((C7Gπ?A?ЏHOyz /4e9bKz+zg}cAt1ycKD s37Yy,*X9+X #,8b5qlgaNa xOM9O)0`LeSaNk9ϱF=̚3 gY>f#ĿOG:4? <SSU{=16~( chHb4ڵ9A~nN7Ӎs>j ) E~O vB!48]^(ɲsK.pFϨk)h&3qFΌ$▭:[Jܲ &rFN$ KF!].t 摭ViDjP^T ܁9L߀EaX%X]n:%ّ3jd(1qp%a U', ЄP,VY|.%@onFnf8nnǕڕ}dgtGyh75D(& Xyw'G0!78{#OJp05cڈEH";;@_p<e8Ӝ3$UH¥e0(|QTRb+7XEg4 ufd7(/$81;2V2U/YQo|ٰ ['Sav(ۮ3E+}Oި]ԷxK'ƻ98},+J1.+blD0!%a΋a>?@Lha" U jn-sA$R#"yyywjY2ߟwfrxerܻ+aK@9qV9s\ /~Iu`Lq5~zZՈH i4ZSB"Ir"I#l L>~1'xP"MT=~,7y8lE r>s (*Sc+p1-P8 "\ElVHCfXrur<{~mዣ7P.8u}=Z ^A=4fCu7q{{J++K~!iyU^4P`8@'mId 'vK-`f JLǴvoWkսWZssg#%(Mm\8E(xY[Ar:R,\ю*IN:&Mn)?y v@]෩'?&O>"==G نZ1x f#X!bڋURB*?&o 䬅)T}971emx5AMfPO&9$c#H޻4YoC `{K("hs39pu3La73gG?;'fRQo=~@CZ荜/BovӜ* a5fyz<$J"~2`.mYњP0s_~D~P5*'a486x!nNqlv\*#yǬxORje*ΒHjVVM/WW˃QݽUJM9mk)#-43=- rs&_cWGyJ J_IV4X8썦QHc%+4%41&QK])r+Q\I-o ~fܤ"~ D6bag>hˋ# :k7f?#>?}$:Ϙsnw]^YQnF/~3ʲMȏ>}hiwOrMj̻cD]kmm< ղq[%i"glmJXSe:br8& -lK*`<8'T:M9HC'S0s,&{_j }d]SFWok`b18j&T[8~$_X}뻯y &*#=ܩ(I;'-Oʉ9K"=r BDc˜{Ch-|73,*ˇaJ~ /n :g؄@WIƭ<`TuM%YN(F$MИvy\^Q/ plaG65s5 j@hXҩ.@63C+::\L Ђ;M דG_]Q->Slז, B_qjͥp-{,Du>1c\9Z@$bQCNeP @PID guZZ1逪kw`r ËJ=CC̶N|px&9P)K';44D>gct \X9!;\mWV 1pL Jֵ3,xTU'|9<ӝF0LgD_qdsm阰X0rY *@-~35=/vV[^g궎ɝ/QU'Ϟrۖ6?F\Q'7K+ af!(FbR]DB 4  "1i 8H*H m1OEf#n,ŀLM %Q o/_ݝݲ 4XK[(Bc6aiTBCæ`bb4 !?!&HczfgxLLLfߝ3Ng{yX+9Bh݅ T3Pϕ՟~OIA2tX߻rUTMJ8O饌UoT/Z.a0sB7X.Ri])]qkjԹɨLryzdFdD r؁V$A86#r)ʱ76E.Zܸ.kG'~u0 [/j6A bK`5@;lt]hơQ]ѱo=7N{ ̠,j2R2{Ui2+5Ay&s(\7B-;[kVOt uh8Z¶-щmmmӈr+lhhtyZ5Jn3:*s/`3׫=~<9k/7< endstream endobj 14 0 obj << /Type /Font /Subtype /Type1 /FirstChar 1 /LastChar 181 /Widths [469 622 444 583 640 500 571 570 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 278 333 278 500 333 333 333 333 333 333 333 333 333 333 333 333 778 333 778 333 333 333 333 333 333 738 333 333 333 333 333 849 333 333 803 333 642 333 333 333 333 333 333 944 828 581 333 333 333 333 333 333 333 529 333 433 520 466 490 477 576 345 333 521 333 333 600 333 333 333 333 469 333 333 333 333 572 490 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 603 ] /Encoding 79 0 R /BaseFont /IMMKFB+CMMI10 /FontDescriptor 68 0 R /ToUnicode 80 0 R >> endobj 15 0 obj << /Type /Font /Subtype /Type1 /FirstChar 1 /LastChar 177 /Widths [500 833 833 778 778 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 719 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 500 278 500 0 0 0 0 0 0 0 0 0 0 0 0 778 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 778 ] /Encoding 81 0 R /BaseFont /IMMKGA+CMSY10 /FontDescriptor 66 0 R /ToUnicode 82 0 R >> endobj 16 0 obj << /Type /Font /Subtype /Type1 /FirstChar 1 /LastChar 116 /Widths [694 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 500 333 333 333 333 500 333 333 333 333 333 333 333 333 389 389 333 778 333 333 333 333 500 500 500 333 333 500 333 333 333 333 333 278 333 778 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 500 333 444 333 333 333 500 333 278 333 333 278 833 556 500 333 333 392 394 389 ] /Encoding 83 0 R /BaseFont /IMMKGH+CMR10 /FontDescriptor 64 0 R /ToUnicode 84 0 R >> endobj 17 0 obj << /Type /Font /Subtype /Type1 /FirstChar 65 /LastChar 121 /Widths [869 0 0 0 0 0 0 0 0 0 0 692 1092 0 0 786 0 0 0 0 0 0 0 869 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 607 607 ] /Encoding /WinAnsiEncoding /BaseFont /IMMKGM+CMBX10 /FontDescriptor 62 0 R >> endobj 18 0 obj << /Type /Font /Subtype /Type1 /FirstChar 1 /LastChar 181 /Widths [544 720 668 678 743 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 585 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 960 333 1089 905 333 727 333 333 333 675 333 333 1074 937 672 333 333 333 333 333 333 333 620 333 511 595 542 333 557 333 333 333 607 333 333 706 333 333 333 333 333 333 333 333 333 648 579 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 695 ] /Encoding 85 0 R /BaseFont /IMMKHI+CMMI7 /FontDescriptor 60 0 R /ToUnicode 86 0 R >> endobj 19 0 obj << /Type /Font /Subtype /Type1 /FirstChar 1 /LastChar 138 /Widths [585 329 1139 938 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 339 0 0 0 0 0 0 0 0 0 0 0 0 0 893 ] /Encoding 87 0 R /BaseFont /IMMKIA+CMSY7 /FontDescriptor 58 0 R /ToUnicode 88 0 R >> endobj 20 0 obj << /Type /Font /Subtype /Type1 /FirstChar 1 /LastChar 18 /Widths [556 811 1444 806 806 1056 667 667 750 750 1000 1444 597 597 556 472 736 736 ] /Encoding 89 0 R /BaseFont /IMMKIL+CMEX10 /FontDescriptor 56 0 R >> endobj 21 0 obj << /Type /Font /Subtype /Type1 /FirstChar 1 /LastChar 120 /Widths [782 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 569 385 323 385 385 385 385 385 385 446 446 385 877 385 385 385 385 569 569 569 385 569 385 385 385 385 385 385 385 385 877 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 385 508 385 385 385 385 385 385 385 385 385 385 631 385 385 385 385 385 385 385 600 ] /Encoding 90 0 R /BaseFont /IMMKMG+CMR7 /FontDescriptor 54 0 R /ToUnicode 91 0 R >> endobj 31 0 obj << /Type /Font /Subtype /Type1 /FirstChar 1 /LastChar 138 /Widths [441 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1083 ] /Encoding 92 0 R /BaseFont /IMMMEM+CMSY5 /FontDescriptor 52 0 R /ToUnicode 93 0 R >> endobj 32 0 obj << /Type /Font /Subtype /Type1 /FirstChar 49 /LastChar 50 /Widths [681 681 ] /Encoding /WinAnsiEncoding /BaseFont /IMMMEO+CMR5 /FontDescriptor 50 0 R >> endobj 33 0 obj << /Type /Font /Subtype /Type1 /FirstChar 120 /LastChar 121 /Widths [683 683 ] /Encoding /WinAnsiEncoding /BaseFont /IMMMFE+CMBX7 /FontDescriptor 48 0 R >> endobj 34 0 obj << /Type /Font /Subtype /Type1 /FirstChar 1 /LastChar 121 /Widths [840 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 832 333 333 333 333 824 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 758 333 333 881 333 333 333 333 333 333 333 333 333 792 731 ] /Encoding 94 0 R /BaseFont /IMMMFP+CMMI5 /FontDescriptor 46 0 R /ToUnicode 95 0 R >> endobj 4 0 obj << /Type /Font /Subtype /TrueType /FirstChar 45 /LastChar 121 /Widths [333 250 0 0 500 500 500 500 500 0 0 0 0 333 0 0 0 0 0 0 722 667 0 722 667 0 0 0 389 0 0 667 944 722 778 611 0 722 556 0 0 0 0 0 0 0 0 0 0 0 0 0 500 556 444 556 444 333 500 556 278 0 556 278 833 556 500 556 556 444 389 333 556 500 722 500 500 ] /Encoding /WinAnsiEncoding /BaseFont /Times-Bold /FontDescriptor 70 0 R >> endobj 5 0 obj << /Type /Font /Subtype /TrueType /FirstChar 35 /LastChar 168 /Widths [500 0 0 778 0 333 333 500 0 250 333 250 278 500 500 500 500 500 500 500 500 500 500 278 278 0 0 0 0 0 722 667 667 722 611 556 722 722 333 389 722 611 889 722 722 556 0 667 556 611 722 722 944 0 722 0 333 0 333 0 0 0 444 500 444 500 444 333 500 500 278 278 500 278 778 500 500 500 500 333 389 278 500 500 722 500 500 444 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 333 444 444 0 500 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 333 ] /Encoding /WinAnsiEncoding /BaseFont /Times-Roman /FontDescriptor 71 0 R >> endobj 6 0 obj << /Type /Font /Subtype /TrueType /FirstChar 46 /LastChar 121 /Widths [600 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 600 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 600 0 600 600 600 0 0 600 600 0 0 600 600 600 600 600 0 600 600 0 600 0 0 0 600 ] /Encoding /WinAnsiEncoding /BaseFont /Courier /FontDescriptor 72 0 R >> endobj 7 0 obj << /Type /Font /Subtype /TrueType /FirstChar 222 /LastChar 222 /Widths [556 ] /Encoding /MacRomanEncoding /BaseFont /Times-Roman /FontDescriptor 73 0 R >> endobj 8 0 obj << /Type /Font /Subtype /TrueType /FirstChar 44 /LastChar 146 /Widths [250 0 250 0 0 0 0 0 0 0 0 0 0 0 333 0 0 0 0 0 0 611 611 667 722 611 0 0 0 333 444 0 0 833 0 0 611 0 0 500 556 0 611 0 0 0 0 0 0 0 0 0 0 500 0 444 500 444 278 500 500 278 0 444 278 722 500 500 500 500 389 389 278 500 444 0 0 444 389 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 333 ] /Encoding /WinAnsiEncoding /BaseFont /Times-Italic /FontDescriptor 74 0 R >> endobj 38 0 obj << /Type /Font /Subtype /Type0 /BaseFont /IMMNGC+Helvetica /Encoding /Identity-H /DescendantFonts [ 96 0 R ] /ToUnicode 97 0 R >> endobj 96 0 obj << /Type /Font /Subtype /CIDFontType2 /BaseFont /IMMNGC+Helvetica /FontDescriptor 75 0 R /CIDSystemInfo<< /Registry (Adobe) /Ordering (Identity) /Supplement 0 >> /DW 1000 /W [ 239 [583] ] >> endobj 39 0 obj << /Type /Font /Subtype /TrueType /FirstChar 32 /LastChar 118 /Widths [278 0 0 556 0 0 0 0 0 0 0 0 0 0 278 0 556 556 556 556 556 556 556 0 0 0 0 0 0 0 0 0 0 0 0 0 0 667 0 0 0 0 0 0 0 833 722 0 0 0 722 667 0 0 0 0 0 0 0 0 0 0 0 0 0 556 0 0 0 556 0 0 0 222 0 0 222 833 556 556 556 0 333 500 278 0 500 ] /Encoding /WinAnsiEncoding /BaseFont /IMMNHE+Helvetica /FontDescriptor 77 0 R >> endobj 79 0 obj << /Type /Encoding /Differences [ 1/theta/omega/delta/lambda/alpha/star/sigma/pi 44/comma 46/period/slash 60/less 62/greater 69/E 75/K 78/N 80/P 87/W/X/Y 97/a 99/c/d/e /f/g/h/i 107/k 110/n 115/s 120/x /y 181/mu ] >> endobj 81 0 obj << /Type /Encoding /Differences [ 1/openbullet/nabla/radical/lessequal/similar 70/F 123/braceleft/bar /braceright 138/minus 177/plusminus ] >> endobj 83 0 obj << /Type /Encoding /Differences [ 1/Lambda 26/circumflex 31/tilde 40/parenleft/parenright 43/plus 48/zero/one /two 53/five 59/semicolon 61/equal 97/a 99/c 103/g 105/i 108/l/m/n/o 114/r/s/t ] >> endobj 85 0 obj << /Type /Encoding /Differences [ 1/theta/omega/pi/lambda/alpha 47/slash 75/K 77/M /N 80/P 84/T 87/W/X/Y 97/a 99/c /d/e 103/g 107/k 110/n 120/x/y 181/mu ] >> endobj 87 0 obj << /Type /Encoding /Differences [ 1/asteriskmath/prime/infinity/radical 124/bar 138/minus ] >> endobj 89 0 obj << /Type /Encoding /Differences [ 1/integraldisplay/slashBig/summationdisplay/braceleftBigg/bracerightBigg/summationtext/braceleftBig/bracerightBig /braceleftbigg/bracerightbigg/hatwider/hatwidest/parenleftBig/parenrightBig/hatwide/integraltext /parenleftbigg/parenrightbigg ] >> endobj 90 0 obj << /Type /Encoding /Differences [ 1/Lambda 31/tilde 33/exclam 40/parenleft/parenright 43/plus 48/zero/one /two 52/four 61/equal 101/e 112/p 120/x ] >> endobj 92 0 obj << /Type /Encoding /Differences [ 1/prime 138/minus ] >> endobj 94 0 obj << /Type /Encoding /Differences [ 1/lambda 84/T 89/Y 107/k 110/n 120/x/y ] >> endobj 80 0 obj << /Filter /FlateDecode /Length 349 >> stream HTMo0 ;@G(PI=Ck;!z_wvׯ8q؛q+ .iO@? o=b|,+N{3PUQ.Iދ;_]n4'ǧ~fu =Q<bJ/! ky- xfsæp>;GIl4xIv4"z endstream endobj 82 0 obj << /Filter /FlateDecode /Length 281 >> stream HTMo 9nºcҵm0Z/ݦ33eR7VȻtJK8[b4PR E7@|yF(˄|gvy=.٘oP;H@bW> ,ŘnƣpLie/-9m'MV%;> stream HT=o wSuC7塎*e臚;sj;C}Mx8D}?x= ]]i4E]fnĻXb}l27)XgUyykIeOb"ʥ$ě.^+| 9yNbs$ycR5=^'*~ endstream endobj 86 0 obj << /Filter /FlateDecode /Length 328 >> stream HTMo0 ;@ vz؇vwHL4B~q\uځI׎_ngH?8C[q^#x-d9^]\8Hxf3\NbޠW~p@;]n_ )N7}v/<\7PU55LwͪGޮ̂Xr̆X1gX,)FȊJ2E% %sIڂ2nc-Qu~&IVUjeczj\\.9"0'tdM὾zG'{l/`Fp endstream endobj 88 0 obj << /Filter /FlateDecode /Length 245 >> stream HT;O0 | Q** u!zܞK&Q$mu!vlmڴO Gu&8X\:j\-S±u&3'8_+`nÑrC]RU75"R;.A>{SPrB͸AI@gVqd)d曍 nҙ̥i IrKRVsy>":0PG~ mrT endstream endobj 91 0 obj << /Filter /FlateDecode /Length 289 >> stream HTMO 9 mLG{ ӵ{k<< ?go~'8-^z y;]Nɧuq8ni+잊[q}|8T?<7xHW 9'h (UEh;V_g)RcTXF C&1]d2&qMp S{ C.*Fl] i$%C,S"Trʋ-5{-E'[~]!,#o endstream endobj 93 0 obj << /Filter /FlateDecode /Length 215 >> stream HTPn0 tP) /)xu]hG@L <+9N> stream HTPMO0Wq$MjȮwhl")C73 =ՏV軝DzyZ@pPn-f'`_]a 7+*=_>}Y 8=ּ#y5Em$q6@e9v8kd]/ZK3;9a3x\%\y\vSbO[gx81S-|(jN,zq]4^m&lC~PZ endstream endobj 97 0 obj << /Filter /FlateDecode /Length 215 >> stream HTP=O0 +<FUҁž8%u"7IJmӝ-/SO!|h9%l8F 6ݞlB%ܓжByqlԃ9TGYaMg z!/&A2qKzC=:\Ȇ&V)YɺzeXZ7e+^u3bWq?}7R-wRLU`8k endstream endobj 1 0 obj << /Type /Page /Parent 10 0 R /Resources 3 0 R /Contents 2 0 R >> endobj 11 0 obj << /Type /Page /Parent 10 0 R /Resources 13 0 R /Contents 12 0 R >> endobj 22 0 obj << /Type /Page /Parent 10 0 R /Resources 24 0 R /Contents 23 0 R >> endobj 25 0 obj << /Type /Page /Parent 10 0 R /Resources 27 0 R /Contents 26 0 R >> endobj 28 0 obj << /Type /Page /Parent 10 0 R /Resources 30 0 R /Contents 29 0 R >> endobj 35 0 obj << /Type /Page /Parent 10 0 R /Resources 37 0 R /Contents 36 0 R >> endobj 40 0 obj << /Type /Page /Parent 10 0 R /Resources 42 0 R /Contents 41 0 R >> endobj 43 0 obj << /Type /Page /Parent 10 0 R /Resources 45 0 R /Contents 44 0 R >> endobj 98 0 obj << /S /D >> endobj 99 0 obj << /Nums [0 98 0 R ] >> endobj 10 0 obj << /Type /Pages /Kids [1 0 R 11 0 R 22 0 R 25 0 R 28 0 R 35 0 R 40 0 R 43 0 R] /Count 8 /MediaBox [0 0 612 792] >> endobj 100 0 obj << /CreationDate (D:20070112224240-05'00') /ModDate (D:20070112224240-05'00') /Producer (Apple pstopdf) >> endobj 101 0 obj << /Type /Catalog /Pages 10 0 R /PageLabels 99 0 R >> endobj xref 0 102 0000000000 65535 f 0000307091 00000 n 0000000016 00000 n 0000010625 00000 n 0000299687 00000 n 0000300096 00000 n 0000300690 00000 n 0000301040 00000 n 0000301210 00000 n 0000203322 00000 n 0000307828 00000 n 0000307172 00000 n 0000010764 00000 n 0000026757 00000 n 0000293566 00000 n 0000294472 00000 n 0000295030 00000 n 0000295671 00000 n 0000295967 00000 n 0000296874 00000 n 0000297341 00000 n 0000297570 00000 n 0000307256 00000 n 0000026974 00000 n 0000048261 00000 n 0000307340 00000 n 0000048467 00000 n 0000066699 00000 n 0000307424 00000 n 0000066905 00000 n 0000096548 00000 n 0000298226 00000 n 0000298685 00000 n 0000298854 00000 n 0000299026 00000 n 0000307508 00000 n 0000096801 00000 n 0000124625 00000 n 0000301663 00000 n 0000302016 00000 n 0000307592 00000 n 0000124857 00000 n 0000193402 00000 n 0000307676 00000 n 0000193599 00000 n 0000203193 00000 n 0000203462 00000 n 0000203707 00000 n 0000205263 00000 n 0000205492 00000 n 0000206035 00000 n 0000206250 00000 n 0000206701 00000 n 0000206926 00000 n 0000207283 00000 n 0000207577 00000 n 0000209214 00000 n 0000209660 00000 n 0000212131 00000 n 0000212390 00000 n 0000213218 00000 n 0000213519 00000 n 0000217417 00000 n 0000217658 00000 n 0000218777 00000 n 0000219093 00000 n 0000221668 00000 n 0000221968 00000 n 0000223296 00000 n 0000223647 00000 n 0000228465 00000 n 0000228667 00000 n 0000228864 00000 n 0000229055 00000 n 0000229252 00000 n 0000229452 00000 n 0000229671 00000 n 0000258904 00000 n 0000259124 00000 n 0000302419 00000 n 0000303938 00000 n 0000302653 00000 n 0000304360 00000 n 0000302812 00000 n 0000304714 00000 n 0000303023 00000 n 0000305099 00000 n 0000303197 00000 n 0000305500 00000 n 0000303308 00000 n 0000303604 00000 n 0000305818 00000 n 0000303771 00000 n 0000306180 00000 n 0000303844 00000 n 0000306468 00000 n 0000301809 00000 n 0000306803 00000 n 0000307760 00000 n 0000307788 00000 n 0000307959 00000 n 0000308083 00000 n trailer << /Size 102 /Root 101 0 R /Info 100 0 R /ID [<878aafb0c59d9562300cd61181c6c2dd><878aafb0c59d9562300cd61181c6c2dd>] >> startxref 308154 %%EOF