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Distribution MaximumEntropyOrderStatisticsDistribution(collection = [Trapezoidal(a = -2, b = -1.1, c = -1, d = 1),LogUniform(aLog = 1, bLog = 1.2),Triangular(a = 3, m = 4.5, b = 5),Beta(r = 2.5, t = 6, a = 4.7, b = 5.2)])
Elliptical = False
oneRealization= class=NumericalPoint name=Unnamed dimension=4 values=[-0.514848,3.2432,3.67427,4.75124]
oneSample first= class=NumericalPoint name=Unnamed dimension=4 values=[-1.01206,3.29988,4.7226,4.9015] last= class=NumericalPoint name=Unnamed dimension=4 values=[-0.845925,3.08338,3.64246,4.96147]
mean= class=NumericalPoint name=Unnamed dimension=4 values=[-0.690223,3.00869,4.17387,4.90804]
covariance= class=CovarianceMatrix dimension=4 implementation=class=MatrixImplementation name=Unnamed rows=4 columns=4 values=[0.403946,-0.00036587,0.000932395,-5.81027e-05,-0.00036587,0.0300943,0.00129843,-2.28507e-05,0.000932395,0.00129843,0.183603,0.00207535,-5.81027e-05,-2.28507e-05,0.00207535,0.00865565]
Point= [0,3.2,4.2,5]
ddf = class=NumericalPoint name=Unnamed dimension=4 values=[-0.645398,0.107242,0.537832,-4.84052]
log pdf=-0.437888
pdf =0.645398
condPDF =0.000000
cdf=0.272530
ccdf=0.727470
condCDF =0.000000
quantile= class=NumericalPoint name=Unnamed dimension=4 values=[0.719851,3.31172,4.88749,5.11511]
cdf(quantile)=0.950000
condQuantile =4.088961
mean= class=NumericalPoint name=Unnamed dimension=4 values=[-0.689247,3.00918,4.16667,4.90833]
standard deviation= class=NumericalPoint name=Unnamed dimension=4 values=[0.627114,0.173677,0.424918,0.0931695]
skewness= class=NumericalPoint name=Unnamed dimension=4 values=[0.33917,0.0692634,-0.422404,0.223607]
kurtosis= class=NumericalPoint name=Unnamed dimension=4 values=[2.39815,1.80525,2.4,2.4]
covariance= class=CovarianceMatrix dimension=4 implementation=class=MatrixImplementation name=Unnamed rows=4 columns=4 values=[0.393268,0,0,0,0,0.0301637,0.00176556,0,0,0.00176556,0.180556,0.00188803,0,0,0.00188803,0.00868056]
correlation= class=CorrelationMatrix dimension=4 implementation=class=MatrixImplementation name=Unnamed rows=4 columns=4 values=[1,0,0,0,0,1,0.023924,0,0,0.023924,1,0.0476904,0,0,0.0476904,1]
spearman= class=CorrelationMatrix dimension=4 implementation=class=MatrixImplementation name=Unnamed rows=4 columns=4 values=[1,0,0,0,0,1,0.0168547,0,0,0.0168547,1,0.0488836,0,0,0.0488836,1]
parameters= [class=NumericalPointWithDescription name=marginal_1_marginal 1 dimension=4 description=[a_marginal_0,b_marginal_0,c_marginal_0,d_marginal_0] values=[-2,-1.1,-1,1],class=NumericalPointWithDescription name=marginal_2_marginal 1 dimension=2 description=[aLog_marginal_1,bLog_marginal_1] values=[1,1.2],class=NumericalPointWithDescription name=marginal_3_marginal 1 dimension=3 description=[a_marginal_2,m_marginal_2,b_marginal_2] values=[3,4.5,5],class=NumericalPointWithDescription name=marginal_4_marginal 1 dimension=4 description=[r_marginal_3,t_marginal_3,a_marginal_3,b_marginal_3] values=[2.5,6,4.7,5.2]]
margin= class=Trapezoidal name=Trapezoidal dimension=1 a=-2 b=-1.1 c=-1 d=1 h=0.645161
margin PDF=0.322581
margin CDF=0.838710
margin quantile= class=NumericalPoint name=Unnamed dimension=1 values=[-0.760682]
margin realization= class=NumericalPoint name=Unnamed dimension=1 values=[-0.79344]
margin range= class=Interval name=Unnamed dimension=1 lower bound=class=NumericalPoint name=Unnamed dimension=1 values=[-2] upper bound=class=NumericalPoint name=Unnamed dimension=1 values=[1] finite lower bound=[1] finite upper bound=[1]
margin= class=LogUniform name=LogUniform dimension=1 aLog=1 bLog=1.2 a=2.71828 b=3.32012
margin PDF=1.562500
margin CDF=0.815754
margin quantile= class=NumericalPoint name=Unnamed dimension=1 values=[3.00417]
margin realization= class=NumericalPoint name=Unnamed dimension=1 values=[2.75513]
margin range= class=Interval name=Unnamed dimension=1 lower bound=class=NumericalPoint name=Unnamed dimension=1 values=[2.71828] upper bound=class=NumericalPoint name=Unnamed dimension=1 values=[3.32012] finite lower bound=[1] finite upper bound=[1]
margin= class=Triangular name=Triangular dimension=1 a=3 m=4.5 b=5
margin PDF=0.800000
margin CDF=0.480000
margin quantile= class=NumericalPoint name=Unnamed dimension=1 values=[4.22474]
margin realization= class=NumericalPoint name=Unnamed dimension=1 values=[4.11996]
margin range= class=Interval name=Unnamed dimension=1 lower bound=class=NumericalPoint name=Unnamed dimension=1 values=[3] upper bound=class=NumericalPoint name=Unnamed dimension=1 values=[5] finite lower bound=[1] finite upper bound=[1]
margin= class=Beta name=Beta dimension=1 r=2.5 t=6 a=4.7 b=5.2
margin PDF=2.554910
margin CDF=0.819685
margin quantile= class=NumericalPoint name=Unnamed dimension=1 values=[4.90342]
margin realization= class=NumericalPoint name=Unnamed dimension=1 values=[4.84722]
margin range= class=Interval name=Unnamed dimension=1 lower bound=class=NumericalPoint name=Unnamed dimension=1 values=[4.7] upper bound=class=NumericalPoint name=Unnamed dimension=1 values=[5.2] finite lower bound=[1] finite upper bound=[1]
indices= [0, 1]
margins= class=MaximumEntropyOrderStatisticsDistribution name=Unnamed dimension=2 collection=[class=Trapezoidal name=Trapezoidal dimension=1 a=-2 b=-1.1 c=-1 d=1 h=0.645161,class=LogUniform name=LogUniform dimension=1 aLog=1 bLog=1.2 a=2.71828 b=3.32012]
margins PDF=0.504032
margins CDF=0.684181
margins quantile= class=NumericalPoint name=Unnamed dimension=2 values=[0.190956,3.25075]
margins CDF(qantile)=0.800000
margins realization= class=NumericalPoint name=Unnamed dimension=2 values=[-1.23466,3.19381]
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