Distribution class=MeixnerDistribution name=MeixnerDistribution dimension=1 alpha=1.5 beta=0.5 delta=2.5 mu=-0.5 logNormalizationFactor=-2.11357 b=0.492762 c=-0.56861 dc=1.37171
Distribution MeixnerDistribution(alpha = 1.5, beta = 0.5, delta = 2.5, mu = -0.5)
Elliptical = false
Continuous = true
oneRealization=class=Point name=Unnamed dimension=1 values=[2.06954]
oneSample first=class=Point name=Unnamed dimension=1 values=[0.267624] last=class=Point name=Unnamed dimension=1 values=[-2.89629]
mean=class=Point name=Unnamed dimension=1 values=[0.426758]
covariance=class=CovarianceMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[2.89038]
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=[1]
log pdf=-1.51735
pdf     =0.219293
pdf (FD)=0.219283
cdf=0.640774
ccdf=0.359226
survival=0.359226
Inverse survival=class=Point name=Unnamed dimension=1 values=[-2.27095]
Survival(inverse survival)=0.95
characteristic function=(0.0679463,-0.248507)
log characteristic function=(-1.35624,-1.3039)
quantile=class=Point name=Unnamed dimension=1 values=[3.39477]
cdf(quantile)=0.95
Minimum volume interval=class=Interval name=Unnamed dimension=1 lower bound=class=Point name=Unnamed dimension=1 values=[-2.90577] upper bound=class=Point name=Unnamed dimension=1 values=[3.94843] 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(MeixnerDistribution(alpha = 1.5, beta = 0.5, delta = 2.5, mu = -0.5)) gradientImplementation=MinimumVolumeLevelSetGradient(MeixnerDistribution(alpha = 1.5, beta = 0.5, delta = 2.5, mu = -0.5)) hessianImplementation=class=CenteredFiniteDifferenceHessian name=Unnamed epsilon=class=Point name=Unnamed dimension=1 values=[0.0001] evaluation=MinimumVolumeLevelSetEvaluation(MeixnerDistribution(alpha = 1.5, beta = 0.5, delta = 2.5, mu = -0.5)) level=3.50547
beta=0.0300325
Bilateral confidence interval=class=Interval name=Unnamed dimension=1 lower bound=class=Point name=Unnamed dimension=1 values=[-2.80555] upper bound=class=Point name=Unnamed dimension=1 values=[4.06095] 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=[-18.5819] upper bound=class=Point name=Unnamed dimension=1 values=[3.39477] 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=[-2.27095] upper bound=class=Point name=Unnamed dimension=1 values=[24.6896] finite lower bound=[1] finite upper bound=[1]
beta=0.95
mean=class=Point name=Unnamed dimension=1 values=[0.457532]
covariance=class=CovarianceMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[2.99587]
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=[[alpha : 1.5, beta : 0.5, mu : 2.5,  : -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=[0.638355]
standard moment n=2, value=class=Point name=Unnamed dimension=1 values=[1.739]
Standard representative=MeixnerDistribution(alpha = 1, beta = 0.5, delta = 2.5, mu = 0)
mu=-0.5
standard deviation=class=Point name=Unnamed dimension=1 values=[1.73086]
skewness=class=Point name=Unnamed dimension=1 values=[0.221285]
kurtosis=class=Point name=Unnamed dimension=1 values=[3.44897]
