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Copula class=AliMikhailHaqCopula name=AliMikhailHaqCopula dimension=2 theta=0.5
Copula AliMikhailHaqCopula(theta = 0.5)
Mean class=Point name=Unnamed dimension=2 values=[0.5,0.5]
Covariance class=CovarianceMatrix dimension=2 implementation=class=MatrixImplementation name=Unnamed rows=2 columns=2 values=[0.0833333,0.0160319,0.0160319,0.0833333]
Elliptical distribution= False
Elliptical copula= False
Independent copula= False
oneRealization= class=Point name=Unnamed dimension=2 values=[0.629877,0.895761]
oneSample= class=Sample name=AliMikhailHaqCopula implementation=class=SampleImplementation name=AliMikhailHaqCopula size=10 dimension=2 description=[X0,X1] data=[[0.135276,0.0211783],[0.347057,0.964145],[0.92068,0.606772],[0.0632061,0.189429],[0.714382,0.449122],[0.373767,0.713037],[0.883503,0.393905],[0.92851,0.86981],[0.684575,0.852794],[0.359802,0.947852]]
Point = class=Point name=Unnamed dimension=2 values=[0.2,0.2] pdf=1.208528 cdf=0.058824
Quantile= class=Point name=Unnamed dimension=2 values=[0.689898,0.689898]
CDF(quantile)=0.500000
Quantile= class=Point name=Unnamed dimension=2 values=[0.182457,0.182457]
InverseSurvival= class=Point name=Unnamed dimension=2 values=[0.025625,0.025625]
Survival(inverseSurvival)=0.950000
entropy=-0.019288
Minimum volume interval= [0.0126791, 0.987321]
[0.0126791, 0.987321]
threshold= [0.974642]
Minimum volume level set= {x | f(x) <= 0.343244} with f=
MinimumVolumeLevelSetEvaluation(AliMikhailHaqCopula(theta = 0.5))
beta= [0.709465]
Bilateral confidence interval= [0.0126791, 0.987321]
[0.0126791, 0.987321]
beta= [0.974642]
Unilateral confidence interval (lower tail)= [0, 0.974521]
[0, 0.974521]
beta= [0.974521]
Unilateral confidence interval (upper tail)= [0.025625, 1]
[0.025625, 1]
beta= [0.974375]
margin= class=IndependentCopula name=IndependentCopula dimension=1
margin PDF=1.000000
margin CDF=0.250000
margin quantile= class=Point name=Unnamed dimension=1 values=[0.95]
margin realization= class=Point name=Unnamed dimension=1 values=[0.592662]
margin= class=IndependentCopula name=IndependentCopula dimension=1
margin PDF=1.000000
margin CDF=0.250000
margin quantile= class=Point name=Unnamed dimension=1 values=[0.95]
margin realization= class=Point name=Unnamed dimension=1 values=[0.744515]
indices= [1, 0]
margins= class=AliMikhailHaqCopula name=AliMikhailHaqCopula dimension=2 theta=0.5
margins PDF=1.136188
margins CDF=0.086957
margins quantile= class=Point name=Unnamed dimension=2 values=[0.974521,0.974521]
margins CDF(qantile)=0.950000
margins realization= class=Point name=Unnamed dimension=2 values=[0.0405473,0.677683]
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