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kernel= Normal
kernel bandwidth=[ 0.745017 , 1.51724 ]
mean(smoothed)=[ 0.50406 , -0.708164 ] 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=Point name=Unnamed dimension=2 values=[0,0]
pdf(smoothed)=0.0247623
pdf(exact)=0.0280502
cdf(smoothed)=0.279515
cdf(exact)=0.305529
pdf(smoothed)=0.0247621
pdf(exact)=0.0280502
cdf(smoothed)=0.279514
cdf(exact)=0.305529
kernel= Epanechnikov
kernel bandwidth=[ 1.66591 , 3.39265 ]
mean(smoothed)=[ 0.50406 , -0.708164 ] 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=Point name=Unnamed dimension=2 values=[0,0]
pdf(smoothed)=0.0245905
pdf(exact)=0.0280502
cdf(smoothed)=0.278675
cdf(exact)=0.305529
pdf(smoothed)=0.0245902
pdf(exact)=0.0280502
cdf(smoothed)=0.278675
cdf(exact)=0.305529
kernel= Uniform
kernel bandwidth=[ 1.29041 , 2.62794 ]
mean(smoothed)=[ 0.50406 , -0.708164 ] 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=Point name=Unnamed dimension=2 values=[0,0]
pdf(smoothed)=0.0235911
pdf(exact)=0.0280502
cdf(smoothed)=0.278627
cdf(exact)=0.305529
pdf(smoothed)=0.0235911
pdf(exact)=0.0280502
cdf(smoothed)=0.278627
cdf(exact)=0.305529
kernel= Triangular
kernel bandwidth=[ 1.82491 , 3.71646 ]
mean(smoothed)=[ 0.50406 , -0.708164 ] 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=Point name=Unnamed dimension=2 values=[0,0]
pdf(smoothed)=0.0246934
pdf(exact)=0.0280502
cdf(smoothed)=0.278851
cdf(exact)=0.305529
pdf(smoothed)=0.0246934
pdf(exact)=0.0280502
cdf(smoothed)=0.27885
cdf(exact)=0.305529
kernel= Logistic
kernel bandwidth=[ 0.41075 , 0.836498 ]
mean(smoothed)=[ 0.50406 , -0.708164 ] 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=Point name=Unnamed dimension=2 values=[0,0]
pdf(smoothed)=0.0254113
pdf(exact)=0.0280502
cdf(smoothed)=0.280123
cdf(exact)=0.305529
pdf(smoothed)=0.0254111
pdf(exact)=0.0280502
cdf(smoothed)=0.280123
cdf(exact)=0.305529
kernel= Beta
kernel bandwidth=[ 1.66591 , 3.39265 ]
mean(smoothed)=[ 0.50406 , -0.708164 ] 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=Point name=Unnamed dimension=2 values=[0,0]
pdf(smoothed)=0.0245905
pdf(exact)=0.0280502
cdf(smoothed)=0.278675
cdf(exact)=0.305529
pdf(smoothed)=0.0245902
pdf(exact)=0.0280502
cdf(smoothed)=0.278675
cdf(exact)=0.305529
kernel= Beta
kernel bandwidth=[ 1.97113 , 4.01424 ]
mean(smoothed)=[ 0.50406 , -0.708164 ] 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=Point name=Unnamed dimension=2 values=[0,0]
pdf(smoothed)=0.0244981
pdf(exact)=0.0280502
cdf(smoothed)=0.27883
cdf(exact)=0.305529
pdf(smoothed)=0.024498
pdf(exact)=0.0280502
cdf(smoothed)=0.27883
cdf(exact)=0.305529
kernel= Normal
Bounded underlying distribution? False bounded reconstruction? False
pdf(smoothed)= 0.302612 pdf(exact)= 0.266085
cdf(smoothed)= 0.206809 cdf(exact)= 0.18406
Bounded underlying distribution? False bounded reconstruction? True
pdf(smoothed)= 0.302613 pdf(exact)= 0.266085
cdf(smoothed)= 0.206809 cdf(exact)= 0.18406
Bounded underlying distribution? True bounded reconstruction? False
pdf(smoothed)= 0.339484 pdf(exact)= 0.597681
cdf(smoothed)= 0.0881112 cdf(exact)= 0.0852122
Bounded underlying distribution? True bounded reconstruction? True
pdf(smoothed)= 0.537733 pdf(exact)= 0.597681
cdf(smoothed)= 0.0535112 cdf(exact)= 0.0852122
kernel= Epanechnikov
Bounded underlying distribution? False bounded reconstruction? False
pdf(smoothed)= 0.302157 pdf(exact)= 0.266085
cdf(smoothed)= 0.208576 cdf(exact)= 0.18406
Bounded underlying distribution? False bounded reconstruction? True
pdf(smoothed)= 0.302157 pdf(exact)= 0.266085
cdf(smoothed)= 0.208576 cdf(exact)= 0.18406
Bounded underlying distribution? True bounded reconstruction? False
pdf(smoothed)= 0.316357 pdf(exact)= 0.597681
cdf(smoothed)= 0.0891315 cdf(exact)= 0.0852122
Bounded underlying distribution? True bounded reconstruction? True
pdf(smoothed)= 0.521347 pdf(exact)= 0.597681
cdf(smoothed)= 0.0516683 cdf(exact)= 0.0852122
kernel= Uniform
Bounded underlying distribution? False bounded reconstruction? False
pdf(smoothed)= 0.300471 pdf(exact)= 0.266085
cdf(smoothed)= 0.209151 cdf(exact)= 0.18406
Bounded underlying distribution? False bounded reconstruction? True
pdf(smoothed)= 0.300471 pdf(exact)= 0.266085
cdf(smoothed)= 0.209151 cdf(exact)= 0.18406
Bounded underlying distribution? True bounded reconstruction? False
pdf(smoothed)= 0.292855 pdf(exact)= 0.597681
cdf(smoothed)= 0.0900747 cdf(exact)= 0.0852122
Bounded underlying distribution? True bounded reconstruction? True
pdf(smoothed)= 0.491997 pdf(exact)= 0.597681
cdf(smoothed)= 0.0507867 cdf(exact)= 0.0852122
kernel= Triangular
Bounded underlying distribution? False bounded reconstruction? False
pdf(smoothed)= 0.302471 pdf(exact)= 0.266085
cdf(smoothed)= 0.208301 cdf(exact)= 0.18406
Bounded underlying distribution? False bounded reconstruction? True
pdf(smoothed)= 0.302471 pdf(exact)= 0.266085
cdf(smoothed)= 0.208301 cdf(exact)= 0.18406
Bounded underlying distribution? True bounded reconstruction? False
pdf(smoothed)= 0.334081 pdf(exact)= 0.597681
cdf(smoothed)= 0.0887193 cdf(exact)= 0.0852122
Bounded underlying distribution? True bounded reconstruction? True
pdf(smoothed)= 0.531359 pdf(exact)= 0.597681
cdf(smoothed)= 0.0527025 cdf(exact)= 0.0852122
kernel= Logistic
Bounded underlying distribution? False bounded reconstruction? False
pdf(smoothed)= 0.303756 pdf(exact)= 0.266085
cdf(smoothed)= 0.205753 cdf(exact)= 0.18406
Bounded underlying distribution? False bounded reconstruction? True
pdf(smoothed)= 0.305332 pdf(exact)= 0.266085
cdf(smoothed)= 0.206806 cdf(exact)= 0.18406
Bounded underlying distribution? True bounded reconstruction? False
pdf(smoothed)= 0.355609 pdf(exact)= 0.597681
cdf(smoothed)= 0.0871653 cdf(exact)= 0.0852122
Bounded underlying distribution? True bounded reconstruction? True
pdf(smoothed)= 0.566138 pdf(exact)= 0.597681
cdf(smoothed)= 0.0566864 cdf(exact)= 0.0852122
kernel= Beta
Bounded underlying distribution? False bounded reconstruction? False
pdf(smoothed)= 0.302157 pdf(exact)= 0.266085
cdf(smoothed)= 0.208576 cdf(exact)= 0.18406
Bounded underlying distribution? False bounded reconstruction? True
pdf(smoothed)= 0.302157 pdf(exact)= 0.266085
cdf(smoothed)= 0.208576 cdf(exact)= 0.18406
Bounded underlying distribution? True bounded reconstruction? False
pdf(smoothed)= 0.316357 pdf(exact)= 0.597681
cdf(smoothed)= 0.0891315 cdf(exact)= 0.0852122
Bounded underlying distribution? True bounded reconstruction? True
pdf(smoothed)= 0.521347 pdf(exact)= 0.597681
cdf(smoothed)= 0.0516683 cdf(exact)= 0.0852122
kernel= Beta
Bounded underlying distribution? False bounded reconstruction? False
pdf(smoothed)= 0.302041 pdf(exact)= 0.266085
cdf(smoothed)= 0.207977 cdf(exact)= 0.18406
Bounded underlying distribution? False bounded reconstruction? True
pdf(smoothed)= 0.302041 pdf(exact)= 0.266085
cdf(smoothed)= 0.207977 cdf(exact)= 0.18406
Bounded underlying distribution? True bounded reconstruction? False
pdf(smoothed)= 0.324187 pdf(exact)= 0.597681
cdf(smoothed)= 0.0888216 cdf(exact)= 0.0852122
Bounded underlying distribution? True bounded reconstruction? True
pdf(smoothed)= 0.527483 pdf(exact)= 0.597681
cdf(smoothed)= 0.0522068 cdf(exact)= 0.0852122
with low bin count, pdf=0.365181
with high bin count, pdf=0.365423
without binning, pdf=0.365424
with no boundary correction, pdf(left)=0.38087 , pdf(right)=0.361147
with automatic lower boundary correction, pdf(left)=0.521626 , pdf(right)=0.361147
with user defined lower boundary correction, pdf(left)=0.506571 , pdf(right)=0.361147
with automatic upper boundary correction, pdf(left)=0.38087 , pdf(right)=0.506744
with user defined upper boundary correction, pdf(left)=0.38087 , pdf(right)=0.505152
with automatic boundaries correction, pdf(left)=0.521626 , pdf(right)=0.506744
with user defined lower/automatic upper boundaries correction, pdf(left)=0.506571 , pdf(right)=0.506744
with automatic lower/user defined upper boundaries correction, pdf(left)=0.521626 , pdf(right)=0.505152
with user defined boundaries correction, pdf(left)=0.506571 , pdf(right)=0.505152
with no boundary correction, pdf(left)=0.379383 , pdf(right)=0.404847
with automatic lower boundary correction, pdf(left)=0.485563 , pdf(right)=0.404847
with user defined lower boundary correction, pdf(left)=0.466624 , pdf(right)=0.404847
with automatic upper boundary correction, pdf(left)=0.379383 , pdf(right)=0.512248
with user defined upper boundary correction, pdf(left)=0.379383 , pdf(right)=0.511777
with automatic boundaries correction, pdf(left)=0.485563 , pdf(right)=0.512248
with user defined lower/automatic upper boundaries correction, pdf(left)=0.466624 , pdf(right)=0.512248
with automatic lower/user defined upper boundaries correction, pdf(left)=0.485563 , pdf(right)=0.511777
with user defined boundaries correction, pdf(left)=0.466624 , pdf(right)=0.511777
0 : [ -7 0 8 ]
1 : [ -7 0 8 ]
2 : [ -7 0 8 ]
[ d7 a23 d8 ]
0 : [ -7 2.82969 8 ]
1 : [ -7 2.35796 8 ]
2 : [ -7 2.08774 8 ]
with reduced cutoff. h=0.769339
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