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kernel= Normal
kernel bandwidth=[ 0.745017254401 , 1.51723933597 ]
mean(smoothed)=[ 0.504059916616 , -0.708163693757 ] mean(exact)=[ 0.5 , -0.5 ]
covariance= class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4.10693,2.78725,2.78725,11.7692] covariance(exact)= class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4,3,3,9]
Point= class=NumericalPoint name=Unnamed dimension=2 values=[0,0]
pdf(smoothed)=0.024762
pdf(exact)=0.028050
cdf(smoothed)=0.279515
cdf(exact)=0.305529
kernel= Epanechnikov
kernel bandwidth=[ 1.66590922525 , 3.39265029337 ]
mean(smoothed)=[ 0.504059916616 , -0.708163693757 ] mean(exact)=[ 0.5 , -0.5 ]
covariance= class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4.10693,2.78725,2.78725,11.7692] covariance(exact)= class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4,3,3,9]
Point= class=NumericalPoint name=Unnamed dimension=2 values=[0,0]
pdf(smoothed)=0.024591
pdf(exact)=0.028050
cdf(smoothed)=0.278675
cdf(exact)=0.305529
kernel= Uniform
kernel bandwidth=[ 1.29040773714 , 2.62793561715 ]
mean(smoothed)=[ 0.504059916616 , -0.708163693757 ] mean(exact)=[ 0.5 , -0.5 ]
covariance= class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4.10693,2.78725,2.78725,11.7692] covariance(exact)= class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4,3,3,9]
Point= class=NumericalPoint name=Unnamed dimension=2 values=[0,0]
pdf(smoothed)=0.023591
pdf(exact)=0.028050
cdf(smoothed)=0.278627
cdf(exact)=0.305529
kernel= Triangular
kernel bandwidth=[ 1.82491212285 , 3.71646219081 ]
mean(smoothed)=[ 0.504059916616 , -0.708163693757 ] mean(exact)=[ 0.5 , -0.5 ]
covariance= class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4.10693,2.78725,2.78725,11.7692] covariance(exact)= class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4,3,3,9]
Point= class=NumericalPoint name=Unnamed dimension=2 values=[0,0]
pdf(smoothed)=0.024693
pdf(exact)=0.028050
cdf(smoothed)=0.278851
cdf(exact)=0.305529
kernel= Logistic
kernel bandwidth=[ 0.410749539939 , 0.836497887192 ]
mean(smoothed)=[ 0.504059916616 , -0.708163693757 ] mean(exact)=[ 0.5 , -0.5 ]
covariance= class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4.10693,2.78725,2.78725,11.7692] covariance(exact)= class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4,3,3,9]
Point= class=NumericalPoint name=Unnamed dimension=2 values=[0,0]
pdf(smoothed)=0.025411
pdf(exact)=0.028050
cdf(smoothed)=0.280123
cdf(exact)=0.305529
kernel= Beta
kernel bandwidth=[ 1.66590922525 , 3.39265029337 ]
mean(smoothed)=[ 0.504059916616 , -0.708163693757 ] mean(exact)=[ 0.5 , -0.5 ]
covariance= class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4.10693,2.78725,2.78725,11.7692] covariance(exact)= class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4,3,3,9]
Point= class=NumericalPoint name=Unnamed dimension=2 values=[0,0]
pdf(smoothed)=0.024591
pdf(exact)=0.028050
cdf(smoothed)=0.278675
cdf(exact)=0.305529
kernel= Beta
kernel bandwidth=[ 1.9711303776 , 4.01423796235 ]
mean(smoothed)=[ 0.504059916616 , -0.708163693757 ] mean(exact)=[ 0.5 , -0.5 ]
covariance= class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4.10693,2.78725,2.78725,11.7692] covariance(exact)= class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[4,3,3,9]
Point= class=NumericalPoint name=Unnamed dimension=2 values=[0,0]
pdf(smoothed)=0.024498
pdf(exact)=0.028050
cdf(smoothed)=0.278830
cdf(exact)=0.305529
kernel= Normal
Bounded underlying distribution? False bounded reconstruction? False
pdf(smoothed)= 0.30285292321 pdf(exact)= 0.266085249899
cdf(smoothed)= 0.206602753426 cdf(exact)= 0.184060125347
Bounded underlying distribution? False bounded reconstruction? True
pdf(smoothed)= 0.303411047573 pdf(exact)= 0.266085249899
cdf(smoothed)= 0.205159940752 cdf(exact)= 0.184060125347
Bounded underlying distribution? True bounded reconstruction? False
pdf(smoothed)= 0.340008752088 pdf(exact)= 0.597680964865
cdf(smoothed)= 0.0879563419612 cdf(exact)= 0.0852121908344
Bounded underlying distribution? True bounded reconstruction? True
pdf(smoothed)= 0.516733507886 pdf(exact)= 0.597680964865
cdf(smoothed)= 0.0500864327464 cdf(exact)= 0.0852121908344
kernel= Epanechnikov
Bounded underlying distribution? False bounded reconstruction? False
pdf(smoothed)= 0.302583998811 pdf(exact)= 0.266085249899
cdf(smoothed)= 0.208330264188 cdf(exact)= 0.184060125347
Bounded underlying distribution? False bounded reconstruction? True
pdf(smoothed)= 0.302583998811 pdf(exact)= 0.266085249899
cdf(smoothed)= 0.208330264188 cdf(exact)= 0.184060125347
Bounded underlying distribution? True bounded reconstruction? False
pdf(smoothed)= 0.316809578551 pdf(exact)= 0.597680964865
cdf(smoothed)= 0.0889725135795 cdf(exact)= 0.0852121908344
Bounded underlying distribution? True bounded reconstruction? True
pdf(smoothed)= 0.521833645721 pdf(exact)= 0.597680964865
cdf(smoothed)= 0.0517197294116 cdf(exact)= 0.0852121908344
kernel= Uniform
Bounded underlying distribution? False bounded reconstruction? False
pdf(smoothed)= 0.302200836404 pdf(exact)= 0.266085249899
cdf(smoothed)= 0.208886666759 cdf(exact)= 0.184060125347
Bounded underlying distribution? False bounded reconstruction? True
pdf(smoothed)= 0.302200836404 pdf(exact)= 0.266085249899
cdf(smoothed)= 0.208886666759 cdf(exact)= 0.184060125347
Bounded underlying distribution? True bounded reconstruction? False
pdf(smoothed)= 0.294132562243 pdf(exact)= 0.597680964865
cdf(smoothed)= 0.0899223491878 cdf(exact)= 0.0852121908344
Bounded underlying distribution? True bounded reconstruction? True
pdf(smoothed)= 0.482377402078 pdf(exact)= 0.597680964865
cdf(smoothed)= 0.0508262439895 cdf(exact)= 0.0852121908344
kernel= Triangular
Bounded underlying distribution? False bounded reconstruction? False
pdf(smoothed)= 0.30270050279 pdf(exact)= 0.266085249899
cdf(smoothed)= 0.208090874727 cdf(exact)= 0.184060125347
Bounded underlying distribution? False bounded reconstruction? True
pdf(smoothed)= 0.30270050279 pdf(exact)= 0.266085249899
cdf(smoothed)= 0.208090874727 cdf(exact)= 0.184060125347
Bounded underlying distribution? True bounded reconstruction? False
pdf(smoothed)= 0.334461667351 pdf(exact)= 0.597680964865
cdf(smoothed)= 0.0885624082321 cdf(exact)= 0.0852121908344
Bounded underlying distribution? True bounded reconstruction? True
pdf(smoothed)= 0.531650116802 pdf(exact)= 0.597680964865
cdf(smoothed)= 0.0527500853222 cdf(exact)= 0.0852121908344
kernel= Logistic
Bounded underlying distribution? False bounded reconstruction? False
pdf(smoothed)= 0.303990074026 pdf(exact)= 0.266085249899
cdf(smoothed)= 0.205569852158 cdf(exact)= 0.184060125347
Bounded underlying distribution? False bounded reconstruction? True
pdf(smoothed)= 0.305224518952 pdf(exact)= 0.266085249899
cdf(smoothed)= 0.202472552453 cdf(exact)= 0.184060125347
Bounded underlying distribution? True bounded reconstruction? False
pdf(smoothed)= 0.356201577231 pdf(exact)= 0.597680964865
cdf(smoothed)= 0.0870209133827 cdf(exact)= 0.0852121908344
Bounded underlying distribution? True bounded reconstruction? True
pdf(smoothed)= 0.502329730526 pdf(exact)= 0.597680964865
cdf(smoothed)= 0.0481263803958 cdf(exact)= 0.0852121908344
kernel= Beta
Bounded underlying distribution? False bounded reconstruction? False
pdf(smoothed)= 0.302583998811 pdf(exact)= 0.266085249899
cdf(smoothed)= 0.208330264188 cdf(exact)= 0.184060125347
Bounded underlying distribution? False bounded reconstruction? True
pdf(smoothed)= 0.302583998811 pdf(exact)= 0.266085249899
cdf(smoothed)= 0.208330264188 cdf(exact)= 0.184060125347
Bounded underlying distribution? True bounded reconstruction? False
pdf(smoothed)= 0.316809578551 pdf(exact)= 0.597680964865
cdf(smoothed)= 0.0889725135795 cdf(exact)= 0.0852121908344
Bounded underlying distribution? True bounded reconstruction? True
pdf(smoothed)= 0.521833645721 pdf(exact)= 0.597680964865
cdf(smoothed)= 0.0517197294116 cdf(exact)= 0.0852121908344
kernel= Beta
Bounded underlying distribution? False bounded reconstruction? False
pdf(smoothed)= 0.302281963351 pdf(exact)= 0.266085249899
cdf(smoothed)= 0.207750702568 cdf(exact)= 0.184060125347
Bounded underlying distribution? False bounded reconstruction? True
pdf(smoothed)= 0.302281963351 pdf(exact)= 0.266085249899
cdf(smoothed)= 0.207750702568 cdf(exact)= 0.184060125347
Bounded underlying distribution? True bounded reconstruction? False
pdf(smoothed)= 0.324638535683 pdf(exact)= 0.597680964865
cdf(smoothed)= 0.0886618499491 cdf(exact)= 0.0852121908344
Bounded underlying distribution? True bounded reconstruction? True
pdf(smoothed)= 0.527875250109 pdf(exact)= 0.597680964865
cdf(smoothed)= 0.0522553592641 cdf(exact)= 0.0852121908344
with low bin count, pdf=0.362958
with high bin count, pdf=0.365081
without binning, pdf=0.365145
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