
*** Case 1 ***

Parameters collection=[[mean_0 : 0, standard_deviation_0 : 1]]
standard moment n=0, value=class=Point name=Unnamed dimension=1 values=[1]
standard moment n=1, value=class=Point name=Unnamed dimension=1 values=[0]
standard moment n=2, value=class=Point name=Unnamed dimension=1 values=[1]
standard moment n=3, value=class=Point name=Unnamed dimension=1 values=[0]
standard moment n=4, value=class=Point name=Unnamed dimension=1 values=[3]
standard moment n=5, value=class=Point name=Unnamed dimension=1 values=[0]
Standard representative=Normal(mu = 0, sigma = 1)
Distribution class=Normal name=Normal dimension=1 mean=class=Point name=Unnamed dimension=1 values=[0] sigma=class=Point name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
Distribution Normal(mu = 0, sigma = 1)
Elliptical = true
Continuous = true
oneRealization=class=Point name=Unnamed dimension=1 values=[0.608202]
oneSample first=class=Point name=Unnamed dimension=1 values=[-1.26617] last=class=Point name=Unnamed dimension=1 values=[1.5244]
mean=class=Point name=Unnamed dimension=1 values=[-0.0132171]
covariance=class=CovarianceMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1.0005]
Kolmogorov test for the generator, sample size=100 is accepted
Kolmogorov test for the generator, sample size=1000 is accepted
Point= class=Point name=Unnamed dimension=1 values=[0.5]
ddf     =class=Point name=Unnamed dimension=1 values=[-0.176033]
ddf (FD)=class=Point name=Unnamed dimension=1 values=[-0.176033]
log pdf=-1.0439
pdf     =0.35207
pdf (FD)=0.35207
cdf=0.69146
ccdf=0.30854
survival=0.30854
Inverse survival=class=Point name=Unnamed dimension=1 values=[-1.64485]
Survival(inverse survival)=0.95
characteristic function=(0.8825,0)
log characteristic function=(-0.125,0)
pdf gradient     =class=Point name=Unnamed dimension=2 values=[0.176033,-0.264049]
pdf gradient (FD)=class=Point name=Unnamed dimension=2 values=[0.176033,-0.264049]
cdf gradient     =class=Point name=Unnamed dimension=2 values=[-0.352065,-0.176033]
quantile=class=Point name=Unnamed dimension=1 values=[1.645]
cdf(quantile)=0.95
Minimum volume interval=class=Interval name=Unnamed dimension=1 lower bound=class=Point name=Unnamed dimension=1 values=[-1.95996] upper bound=class=Point name=Unnamed dimension=1 values=[1.95996] finite lower bound=[1] finite upper bound=[1]
threshold=0.95
Minimum volume level set=class=LevelSet name=Unnamed dimension=1 function=class=Function name=Unnamed implementation=class=FunctionImplementation name=Unnamed description=[x0,y0] evaluationImplementation=MinimumVolumeLevelSetEvaluation(Normal(mu = 0, sigma = 1)) gradientImplementation=MinimumVolumeLevelSetGradient(Normal(mu = 0, sigma = 1)) hessianImplementation=class=CenteredFiniteDifferenceHessian name=Unnamed epsilon=class=Point name=Unnamed dimension=1 values=[0.0001] evaluation=MinimumVolumeLevelSetEvaluation(Normal(mu = 0, sigma = 1)) level=2.83967
beta=0.058445
Bilateral confidence interval=class=Interval name=Unnamed dimension=1 lower bound=class=Point name=Unnamed dimension=1 values=[-1.95996] upper bound=class=Point name=Unnamed dimension=1 values=[1.95996] finite lower bound=[1] finite upper bound=[1]
beta=0.95
Unilateral confidence interval (lower tail)=class=Interval name=Unnamed dimension=1 lower bound=class=Point name=Unnamed dimension=1 values=[-7.65063] upper bound=class=Point name=Unnamed dimension=1 values=[1.64485] finite lower bound=[1] finite upper bound=[1]
beta=0.95
Unilateral confidence interval (upper tail)=class=Interval name=Unnamed dimension=1 lower bound=class=Point name=Unnamed dimension=1 values=[-1.64485] upper bound=class=Point name=Unnamed dimension=1 values=[7.65063] finite lower bound=[1] finite upper bound=[1]
beta=0.95
mean=class=Point name=Unnamed dimension=1 values=[0]
standard deviation=class=Point name=Unnamed dimension=1 values=[1]
skewness=class=Point name=Unnamed dimension=1 values=[0]
kurtosis=class=Point name=Unnamed dimension=1 values=[3]
covariance=class=CovarianceMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
correlation=class=CovarianceMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
spearman=class=CovarianceMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
kendall=class=CovarianceMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
parameters=[[mean_0 : 0, standard_deviation_0 : 1]]
standard moment n=0, value=class=Point name=Unnamed dimension=1 values=[1]
standard moment n=1, value=class=Point name=Unnamed dimension=1 values=[0]
standard moment n=2, value=class=Point name=Unnamed dimension=1 values=[1]
standard moment n=3, value=class=Point name=Unnamed dimension=1 values=[0]
standard moment n=4, value=class=Point name=Unnamed dimension=1 values=[3]
standard moment n=5, value=class=Point name=Unnamed dimension=1 values=[0]
Standard representative=Normal(mu = 0, sigma = 1)
density generator=0.35207
pdf via density generator=0.35207
density generator derivative     =-0.17603
density generator derivative (FD)=-0.17603
density generator second derivative     =0.088016
density generator second derivative (FD)=0.088016
Radial CDF(2)=0.9545
margin=class=Normal name=Normal dimension=1 mean=class=Point name=Unnamed dimension=1 values=[0] sigma=class=Point name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
margin PDF=0.35207
margin CDF=0.69146
margin quantile=class=Point name=Unnamed dimension=1 values=[1.64485]
margin realization=class=Point name=Unnamed dimension=1 values=[0.123969]
chol=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
invchol=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
chol*t(chol)=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
chol*invchol=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
Comparison with a Student distribution false
Comparison with an Exponential distribution false
Comparison with itself true
Comparison with a clone true
Comparison with another member false

*** Case 2 ***

Parameters collection=[[mean_0 : 0, standard_deviation_0 : 1],[mean_1 : 0, standard_deviation_1 : 2],[R_1_0 : 0.5]]
standard moment n=0, value=class=Point name=Unnamed dimension=1 values=[1]
standard moment n=1, value=class=Point name=Unnamed dimension=1 values=[0]
standard moment n=2, value=class=Point name=Unnamed dimension=1 values=[1]
standard moment n=3, value=class=Point name=Unnamed dimension=1 values=[0]
standard moment n=4, value=class=Point name=Unnamed dimension=1 values=[3]
standard moment n=5, value=class=Point name=Unnamed dimension=1 values=[0]
Standard representative=Normal(mu = 0, sigma = 1)
Distribution class=Normal name=Normal dimension=2 mean=class=Point name=Unnamed dimension=2 values=[0,0] sigma=class=Point name=Unnamed dimension=2 values=[1,2] correlationMatrix=class=CorrelationMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1,0.5,0.5,1]
Distribution Normal(mu = [0,0], sigma = [1,2], R = [[ 1   0.5 ]
 [ 0.5 1   ]])
Elliptical = true
Continuous = true
oneRealization=class=Point name=Unnamed dimension=2 values=[1.08522,-1.04268]
oneSample first=class=Point name=Unnamed dimension=2 values=[1.11121,-0.713628] last=class=Point name=Unnamed dimension=2 values=[-0.878534,-0.77061]
mean=class=Point name=Unnamed dimension=2 values=[-0.00563385,0.027977]
covariance=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1.03867,1.02294,1.02294,3.97641]
Point= class=Point name=Unnamed dimension=2 values=[0.5,0.5]
ddf     =class=Point name=Unnamed dimension=2 values=[-0.0405455,0]
ddf (FD)=class=Point name=Unnamed dimension=2 values=[-0.0405455,0]
log pdf=-2.5122
pdf     =0.081091
cdf=0.48677
survival=0.1966
Inverse survival=class=Point name=Unnamed dimension=2 values=[-1.91633,-3.83266]
Survival(inverse survival)=0.95
characteristic function=(0.41686,0)
log characteristic function=(-0.875,0)
pdf gradient     =class=Point name=Unnamed dimension=4 values=[0.0405455,0,-0.0608183,-0.0405455]
pdf gradient (FD)=class=Point name=Unnamed dimension=4 values=[0.0405455,0,-0.0608183,-0.0405455]
cdf gradient     =class=Point name=Unnamed dimension=4 values=[0,0,0,0]
quantile=class=Point name=Unnamed dimension=2 values=[1.916,3.833]
cdf(quantile)=0.95
Minimum volume interval=class=Interval name=Unnamed dimension=2 lower bound=class=Point name=Unnamed dimension=2 values=[-2.21213,-4.42426] upper bound=class=Point name=Unnamed dimension=2 values=[2.21213,4.42426] finite lower bound=[1,1] finite upper bound=[1,1]
threshold=0.97304
Minimum volume level set=class=LevelSet name=Unnamed dimension=2 function=class=Function name=Unnamed implementation=class=FunctionImplementation name=Unnamed description=[x0,x1,y0] evaluationImplementation=MinimumVolumeLevelSetEvaluation(Normal(mu = [0,0], sigma = [1,2], R = [[ 1   0.5 ]
 [ 0.5 1   ]])) gradientImplementation=MinimumVolumeLevelSetGradient(Normal(mu = [0,0], sigma = [1,2], R = [[ 1   0.5 ]
 [ 0.5 1   ]])) hessianImplementation=class=CenteredFiniteDifferenceHessian name=Unnamed epsilon=class=Point name=Unnamed dimension=2 values=[0.0001,0.0001] evaluation=MinimumVolumeLevelSetEvaluation(Normal(mu = [0,0], sigma = [1,2], R = [[ 1   0.5 ]
 [ 0.5 1   ]])) level=4.83361
beta=0.0079577
Bilateral confidence interval=class=Interval name=Unnamed dimension=2 lower bound=class=Point name=Unnamed dimension=2 values=[-2.21213,-4.42426] upper bound=class=Point name=Unnamed dimension=2 values=[2.21213,4.42426] finite lower bound=[1,1] finite upper bound=[1,1]
beta=0.97304
Unilateral confidence interval (lower tail)=class=Interval name=Unnamed dimension=2 lower bound=class=Point name=Unnamed dimension=2 values=[-7.65063,-15.3013] upper bound=class=Point name=Unnamed dimension=2 values=[1.91633,3.83266] finite lower bound=[1,1] finite upper bound=[1,1]
beta=0.97234
Unilateral confidence interval (upper tail)=class=Interval name=Unnamed dimension=2 lower bound=class=Point name=Unnamed dimension=2 values=[-1.91633,-3.83266] upper bound=class=Point name=Unnamed dimension=2 values=[7.65063,15.3013] finite lower bound=[1,1] finite upper bound=[1,1]
beta=0.97234
mean=class=Point name=Unnamed dimension=2 values=[0,0]
standard deviation=class=Point name=Unnamed dimension=2 values=[1,2]
skewness=class=Point name=Unnamed dimension=2 values=[0,0]
kurtosis=class=Point name=Unnamed dimension=2 values=[3,3]
covariance=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1,1,1,4]
correlation=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1,0.5,0.5,1]
spearman=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1,0.482584,0.482584,1]
kendall=class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1,0.333333,0.333333,1]
parameters=[[mean_0 : 0, standard_deviation_0 : 1],[mean_1 : 0, standard_deviation_1 : 2],[R_1_0 : 0.5]]
standard moment n=0, value=class=Point name=Unnamed dimension=1 values=[1]
standard moment n=1, value=class=Point name=Unnamed dimension=1 values=[0]
standard moment n=2, value=class=Point name=Unnamed dimension=1 values=[1]
standard moment n=3, value=class=Point name=Unnamed dimension=1 values=[0]
standard moment n=4, value=class=Point name=Unnamed dimension=1 values=[3]
standard moment n=5, value=class=Point name=Unnamed dimension=1 values=[0]
Standard representative=Normal(mu = 0, sigma = 1)
density generator=0.12395
pdf via density generator=0.081091
density generator derivative     =-0.061975
density generator derivative (FD)=-0.061975
density generator second derivative     =0.030987
density generator second derivative (FD)=0.030987
Radial CDF(2)=0.86466
margin=class=Normal name=Normal dimension=1 mean=class=Point name=Unnamed dimension=1 values=[0] sigma=class=Point name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
margin PDF=0.35207
margin CDF=0.69146
margin quantile=class=Point name=Unnamed dimension=1 values=[1.64485]
margin realization=class=Point name=Unnamed dimension=1 values=[0.7298]
margin=class=Normal name=Normal dimension=1 mean=class=Point name=Unnamed dimension=1 values=[0] sigma=class=Point name=Unnamed dimension=1 values=[2] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
margin PDF=0.19333
margin CDF=0.59871
margin quantile=class=Point name=Unnamed dimension=1 values=[3.28971]
margin realization=class=Point name=Unnamed dimension=1 values=[1.53929]
indices=[1,0]
margins=class=Normal name=Normal dimension=2 mean=class=Point name=Unnamed dimension=2 values=[0,0] sigma=class=Point name=Unnamed dimension=2 values=[2,1] correlationMatrix=class=CorrelationMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1,0.5,0.5,1]
margins PDF=0.081091
margins CDF=0.48677
margins quantile=class=Point name=Unnamed dimension=2 values=[3.83266,1.91633]
margins CDF(quantile)=0.95
margins realization=class=Point name=Unnamed dimension=2 values=[1.61626,0.404768]
chol=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1,1,0,1.73205]
invchol=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1,-0.57735,0,0.57735]
chol*t(chol)=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1,1,1,4]
chol*invchol=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1,0,0,1]
Comparison with a Student distribution false
Comparison with an Exponential distribution false
Comparison with itself true
Comparison with a clone true
Comparison with another member false

*** Case 3 ***

Parameters collection=[[mean_0 : 0, standard_deviation_0 : 1],[mean_1 : 0, standard_deviation_1 : 2],[mean_2 : 0, standard_deviation_2 : 3],[R_1_0 : 0.5, R_2_0 : 0, R_2_1 : 0.5]]
standard moment n=0, value=class=Point name=Unnamed dimension=1 values=[1]
standard moment n=1, value=class=Point name=Unnamed dimension=1 values=[0]
standard moment n=2, value=class=Point name=Unnamed dimension=1 values=[1]
standard moment n=3, value=class=Point name=Unnamed dimension=1 values=[0]
standard moment n=4, value=class=Point name=Unnamed dimension=1 values=[3]
standard moment n=5, value=class=Point name=Unnamed dimension=1 values=[0]
Standard representative=Normal(mu = 0, sigma = 1)
Distribution class=Normal name=Normal dimension=3 mean=class=Point name=Unnamed dimension=3 values=[0,0,0] sigma=class=Point name=Unnamed dimension=3 values=[1,2,3] correlationMatrix=class=CorrelationMatrix dimension=3 implementation=class=MatrixImplementation name=Unnamed rows=3 columns=3 values=[1,0.5,0,0.5,1,0.5,0,0.5,1]
Distribution Normal(mu = [0,0,0], sigma = [1,2,3], R = [[ 1   0.5 0   ]
 [ 0.5 1   0.5 ]
 [ 0   0.5 1   ]])
Elliptical = true
Continuous = true
oneRealization=class=Point name=Unnamed dimension=3 values=[0.44941,1.98808,3.74507]
oneSample first=class=Point name=Unnamed dimension=3 values=[-3.14211,-1.712,3.59688] last=class=Point name=Unnamed dimension=3 values=[-1.05624,1.82582,2.28642]
mean=class=Point name=Unnamed dimension=3 values=[-0.0130959,-0.00581536,0.0113697]
covariance=class=CovarianceMatrix dimension=3 implementation=class=MatrixImplementation name=Unnamed rows=3 columns=3 values=[0.987829,0.982678,-0.0196036,0.982678,3.95061,2.96383,-0.0196036,2.96383,9.01984]
Point= class=Point name=Unnamed dimension=3 values=[0.5,0.5,0.5]
ddf     =class=Point name=Unnamed dimension=3 values=[-0.00754529,0.0010779,-0.0010779]
ddf (FD)=class=Point name=Unnamed dimension=3 values=[-0.00754529,0.0010779,-0.0010779]
log pdf=-4.3478
pdf     =0.012935
cdf=0.32981
survival=0.11135
Inverse survival=class=Point name=Unnamed dimension=3 values=[-2.07982,-4.15964,-6.23946]
Survival(inverse survival)=0.95
characteristic function=(0.063928,0)
log characteristic function=(-2.75,0)
pdf gradient     =class=Point name=Unnamed dimension=6 values=[0.00754529,-0.0010779,0.0010779,-0.00916214,-0.00673687,-0.00413195]
pdf gradient (FD)=class=Point name=Unnamed dimension=6 values=[0.00754529,-0.0010779,0.0010779,-0.00916214,-0.00673687,-0.00413195]
cdf gradient     =class=Point name=Unnamed dimension=6 values=[0,0,0,0,0,0]
quantile=class=Point name=Unnamed dimension=3 values=[2.08,4.16,6.239]
cdf(quantile)=0.95
mean=class=Point name=Unnamed dimension=3 values=[0,0,0]
standard deviation=class=Point name=Unnamed dimension=3 values=[1,2,3]
skewness=class=Point name=Unnamed dimension=3 values=[0,0,0]
kurtosis=class=Point name=Unnamed dimension=3 values=[3,3,3]
covariance=class=CovarianceMatrix dimension=3 implementation=class=MatrixImplementation name=Unnamed rows=3 columns=3 values=[1,1,0,1,4,3,0,3,9]
correlation=class=CovarianceMatrix dimension=3 implementation=class=MatrixImplementation name=Unnamed rows=3 columns=3 values=[1,0.5,0,0.5,1,0.5,0,0.5,1]
spearman=class=CovarianceMatrix dimension=3 implementation=class=MatrixImplementation name=Unnamed rows=3 columns=3 values=[1,0.482584,0,0.482584,1,0.482584,0,0.482584,1]
kendall=class=CovarianceMatrix dimension=3 implementation=class=MatrixImplementation name=Unnamed rows=3 columns=3 values=[1,0.333333,0,0.333333,1,0.333333,0,0.333333,1]
parameters=[[mean_0 : 0, standard_deviation_0 : 1],[mean_1 : 0, standard_deviation_1 : 2],[mean_2 : 0, standard_deviation_2 : 3],[R_1_0 : 0.5, R_2_0 : 0, R_2_1 : 0.5]]
standard moment n=0, value=class=Point name=Unnamed dimension=1 values=[1]
standard moment n=1, value=class=Point name=Unnamed dimension=1 values=[0]
standard moment n=2, value=class=Point name=Unnamed dimension=1 values=[1]
standard moment n=3, value=class=Point name=Unnamed dimension=1 values=[0]
standard moment n=4, value=class=Point name=Unnamed dimension=1 values=[3]
standard moment n=5, value=class=Point name=Unnamed dimension=1 values=[0]
Standard representative=Normal(mu = 0, sigma = 1)
density generator=0.043638
pdf via density generator=0.012935
density generator derivative     =-0.021819
density generator derivative (FD)=-0.021819
density generator second derivative     =0.01091
density generator second derivative (FD)=0.01091
Radial CDF(2)=0.73854
margin=class=Normal name=Normal dimension=1 mean=class=Point name=Unnamed dimension=1 values=[0] sigma=class=Point name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
margin PDF=0.35207
margin CDF=0.69146
margin quantile=class=Point name=Unnamed dimension=1 values=[1.64485]
margin realization=class=Point name=Unnamed dimension=1 values=[0.217088]
margin=class=Normal name=Normal dimension=1 mean=class=Point name=Unnamed dimension=1 values=[0] sigma=class=Point name=Unnamed dimension=1 values=[2] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
margin PDF=0.19333
margin CDF=0.59871
margin quantile=class=Point name=Unnamed dimension=1 values=[3.28971]
margin realization=class=Point name=Unnamed dimension=1 values=[2.28236]
margin=class=Normal name=Normal dimension=1 mean=class=Point name=Unnamed dimension=1 values=[0] sigma=class=Point name=Unnamed dimension=1 values=[3] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
margin PDF=0.13115
margin CDF=0.56618
margin quantile=class=Point name=Unnamed dimension=1 values=[4.93456]
margin realization=class=Point name=Unnamed dimension=1 values=[-0.22004]
indices=[1,0]
margins=class=Normal name=Normal dimension=2 mean=class=Point name=Unnamed dimension=2 values=[0,0] sigma=class=Point name=Unnamed dimension=2 values=[2,1] correlationMatrix=class=CorrelationMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1,0.5,0.5,1]
margins PDF=0.081091
margins CDF=0.48677
margins quantile=class=Point name=Unnamed dimension=2 values=[3.83266,1.91633]
margins CDF(quantile)=0.95
margins realization=class=Point name=Unnamed dimension=2 values=[3.20622,0.887826]
chol=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=3 columns=3 values=[1,1,0,0,1.73205,1.73205,0,0,2.44949]
invchol=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=3 columns=3 values=[1,-0.57735,0.408248,0,0.57735,-0.408248,0,0,0.408248]
chol*t(chol)=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=3 columns=3 values=[1,1,0,1,4,3,0,3,9]
chol*invchol=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=3 columns=3 values=[1,0,0,0,1,0,0,0,1]
Comparison with a Student distribution false
Comparison with an Exponential distribution false
Comparison with itself true
Comparison with a clone true
Comparison with another member false

*** Case 4 ***

Parameters collection=[[mean_0 : 0, standard_deviation_0 : 1],[mean_1 : 0, standard_deviation_1 : 2],[mean_2 : 0, standard_deviation_2 : 3],[mean_3 : 0, standard_deviation_3 : 4],[R_1_0 : 0.5, R_2_0 : 0, R_2_1 : 0.5, R_3_0 : 0, R_3_1 : 0, R_3_2 : 0.5]]
standard moment n=0, value=class=Point name=Unnamed dimension=1 values=[1]
standard moment n=1, value=class=Point name=Unnamed dimension=1 values=[0]
standard moment n=2, value=class=Point name=Unnamed dimension=1 values=[1]
standard moment n=3, value=class=Point name=Unnamed dimension=1 values=[0]
standard moment n=4, value=class=Point name=Unnamed dimension=1 values=[3]
standard moment n=5, value=class=Point name=Unnamed dimension=1 values=[0]
Standard representative=Normal(mu = 0, sigma = 1)
Distribution class=Normal name=Normal dimension=4 mean=class=Point name=Unnamed dimension=4 values=[0,0,0,0] sigma=class=Point name=Unnamed dimension=4 values=[1,2,3,4] correlationMatrix=class=CorrelationMatrix dimension=4 implementation=class=MatrixImplementation name=Unnamed rows=4 columns=4 values=[1,0.5,0,0,0.5,1,0.5,0,0,0.5,1,0.5,0,0,0.5,1]
Distribution Normal(mu = [0,0,0,0], sigma = [1,2,3,4], R = [[ 1   0.5 0   0   ]
 [ 0.5 1   0.5 0   ]
 [ 0   0.5 1   0.5 ]
 [ 0   0   0.5 1   ]])
Elliptical = true
Continuous = true
oneRealization=class=Point name=Unnamed dimension=4 values=[1.51193,4.01795,5.56609,5.09529]
oneSample first=class=Point name=Unnamed dimension=4 values=[-0.0306902,-0.814045,-3.73544,-2.08147] last=class=Point name=Unnamed dimension=4 values=[2.01573,1.43862,-4.03567,-7.64326]
mean=class=Point name=Unnamed dimension=4 values=[-0.0117286,-0.0185541,-0.0100932,0.05681]
covariance=class=CovarianceMatrix dimension=4 implementation=class=MatrixImplementation name=Unnamed rows=4 columns=4 values=[1.01522,1.00619,-0.0305626,-0.0841489,1.00619,3.9588,3.02894,-0.0262725,-0.0305626,3.02894,9.28878,6.14816,-0.0841489,-0.0262725,6.14816,16.0325]
Point= class=Point name=Unnamed dimension=4 values=[0.5,0.5,0.5,0.5]
ddf     =class=Point name=Unnamed dimension=4 values=[-0.000951889,0.000135984,-0.000135984,0]
ddf (FD)=class=Point name=Unnamed dimension=4 values=[-0.000951889,0.000135984,-0.000135984,0]
log pdf=-6.4181
pdf     =0.0016318
cdf=0.22145
survival=0.067873
Inverse survival=class=Point name=Unnamed dimension=4 values=[-2.1934,-4.38679,-6.58019,-8.77359]
Survival(inverse survival)=0.95
characteristic function=(0.0019305,0)
log characteristic function=(-6.25,0)
pdf gradient     =class=Point name=Unnamed dimension=8 values=[0.000951889,-0.000135984,0.000135984,0,-0.00115586,-0.000849901,-0.000521272,-0.000407952]
pdf gradient (FD)=class=Point name=Unnamed dimension=8 values=[0.000951889,-0.000135984,0.000135984,0,-0.00115586,-0.000849901,-0.000521272,-0.000407952]
cdf gradient     =class=Point name=Unnamed dimension=8 values=[0,0,0,0,0,0,0,0]
quantile=class=Point name=Unnamed dimension=4 values=[2.193,4.387,6.58,8.774]
cdf(quantile)=0.95
mean=class=Point name=Unnamed dimension=4 values=[0,0,0,0]
standard deviation=class=Point name=Unnamed dimension=4 values=[1,2,3,4]
skewness=class=Point name=Unnamed dimension=4 values=[0,0,0,0]
kurtosis=class=Point name=Unnamed dimension=4 values=[3,3,3,3]
covariance=class=CovarianceMatrix dimension=4 implementation=class=MatrixImplementation name=Unnamed rows=4 columns=4 values=[1,1,0,0,1,4,3,0,0,3,9,6,0,0,6,16]
correlation=class=CovarianceMatrix dimension=4 implementation=class=MatrixImplementation name=Unnamed rows=4 columns=4 values=[1,0.5,0,0,0.5,1,0.5,0,0,0.5,1,0.5,0,0,0.5,1]
spearman=class=CovarianceMatrix dimension=4 implementation=class=MatrixImplementation name=Unnamed rows=4 columns=4 values=[1,0.482584,0,0,0.482584,1,0.482584,0,0,0.482584,1,0.482584,0,0,0.482584,1]
kendall=class=CovarianceMatrix dimension=4 implementation=class=MatrixImplementation name=Unnamed rows=4 columns=4 values=[1,0.333333,0,0,0.333333,1,0.333333,0,0,0.333333,1,0.333333,0,0,0.333333,1]
parameters=[[mean_0 : 0, standard_deviation_0 : 1],[mean_1 : 0, standard_deviation_1 : 2],[mean_2 : 0, standard_deviation_2 : 3],[mean_3 : 0, standard_deviation_3 : 4],[R_1_0 : 0.5, R_2_0 : 0, R_2_1 : 0.5, R_3_0 : 0, R_3_1 : 0, R_3_2 : 0.5]]
standard moment n=0, value=class=Point name=Unnamed dimension=1 values=[1]
standard moment n=1, value=class=Point name=Unnamed dimension=1 values=[0]
standard moment n=2, value=class=Point name=Unnamed dimension=1 values=[1]
standard moment n=3, value=class=Point name=Unnamed dimension=1 values=[0]
standard moment n=4, value=class=Point name=Unnamed dimension=1 values=[3]
standard moment n=5, value=class=Point name=Unnamed dimension=1 values=[0]
Standard representative=Normal(mu = 0, sigma = 1)
density generator=0.015364
pdf via density generator=0.0016318
density generator derivative     =-0.0076818
density generator derivative (FD)=-0.0076818
density generator second derivative     =0.0038409
density generator second derivative (FD)=0.0038409
Radial CDF(2)=0.59399
margin=class=Normal name=Normal dimension=1 mean=class=Point name=Unnamed dimension=1 values=[0] sigma=class=Point name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
margin PDF=0.35207
margin CDF=0.69146
margin quantile=class=Point name=Unnamed dimension=1 values=[1.64485]
margin realization=class=Point name=Unnamed dimension=1 values=[1.1002]
margin=class=Normal name=Normal dimension=1 mean=class=Point name=Unnamed dimension=1 values=[0] sigma=class=Point name=Unnamed dimension=1 values=[2] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
margin PDF=0.19333
margin CDF=0.59871
margin quantile=class=Point name=Unnamed dimension=1 values=[3.28971]
margin realization=class=Point name=Unnamed dimension=1 values=[1.68814]
margin=class=Normal name=Normal dimension=1 mean=class=Point name=Unnamed dimension=1 values=[0] sigma=class=Point name=Unnamed dimension=1 values=[3] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
margin PDF=0.13115
margin CDF=0.56618
margin quantile=class=Point name=Unnamed dimension=1 values=[4.93456]
margin realization=class=Point name=Unnamed dimension=1 values=[-5.45695]
margin=class=Normal name=Normal dimension=1 mean=class=Point name=Unnamed dimension=1 values=[0] sigma=class=Point name=Unnamed dimension=1 values=[4] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
margin PDF=0.098959
margin CDF=0.54974
margin quantile=class=Point name=Unnamed dimension=1 values=[6.57941]
margin realization=class=Point name=Unnamed dimension=1 values=[2.64638]
indices=[1,0]
margins=class=Normal name=Normal dimension=2 mean=class=Point name=Unnamed dimension=2 values=[0,0] sigma=class=Point name=Unnamed dimension=2 values=[2,1] correlationMatrix=class=CorrelationMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[1,0.5,0.5,1]
margins PDF=0.081091
margins CDF=0.48677
margins quantile=class=Point name=Unnamed dimension=2 values=[3.83266,1.91633]
margins CDF(quantile)=0.95
margins realization=class=Point name=Unnamed dimension=2 values=[1.01367,-1.06112]
chol=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=4 columns=4 values=[1,1,0,0,0,1.73205,1.73205,0,0,0,2.44949,2.44949,0,0,0,3.16228]
invchol=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=4 columns=4 values=[1,-0.57735,0.408248,-0.316228,0,0.57735,-0.408248,0.316228,0,0,0.408248,-0.316228,0,0,0,0.316228]
chol*t(chol)=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=4 columns=4 values=[1,1,0,0,1,4,3,0,0,3,9,6,0,0,6,16]
chol*invchol=class=Matrix implementation=class=MatrixImplementation name=Unnamed rows=4 columns=4 values=[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1]
Comparison with a Student distribution false
Comparison with an Exponential distribution false
Comparison with itself true
Comparison with a clone true
Comparison with another member false
