Distribution  class=Gumbel name=Gumbel dimension=1 alpha=2 beta=-0.5
Distribution  Gumbel(alpha = 2, beta = -0.5)
Elliptical =  False
Continuous =  True
oneRealization= class=Point name=Unnamed dimension=1 values=[-0.114155]
oneSample first= class=Point name=Unnamed dimension=1 values=[0.54112]  last= class=Point name=Unnamed dimension=1 values=[-0.846682]
mean= class=Point name=Unnamed dimension=1 values=[-0.20325]
covariance= class=CovarianceMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[0.416712]
Point=  class=Point name=Unnamed dimension=1 values=[1]
ddf     = class=Point name=Unnamed dimension=1 values=[-0.180043]
ddf (FD)= class=Point name=Unnamed dimension=1 values=[-0.180043]
log pdf=-2.356640
pdf     =0.094738
pdf (FD)=0.094738
cdf=0.951432
ccdf=0.048568
pdf gradient     = class=Point name=Unnamed dimension=2 values=[-0.0876629,0.180043]
pdf gradient (FD)= class=Point name=Unnamed dimension=2 values=[-0.0876629,0.180043]
cdf gradient     = class=Point name=Unnamed dimension=2 values=[0.0710535,-0.094738]
cdf gradient (FD)= class=Point name=Unnamed dimension=2 values=[0.0710535,-0.094738]
quantile= class=Point name=Unnamed dimension=1 values=[0.985098]
cdf(quantile)=0.950000
InverseSurvival= class=Point name=Unnamed dimension=1 values=[-1.04859]
Survival(inverseSurvival)=0.950000
Minimum volume interval= [-1.28067, 1.08074]
threshold= [0.95]
Minimum volume level set= {x | f(x) <= 2.51069} with f=
MinimumVolumeLevelSetEvaluation(Gumbel(alpha = 2, beta = -0.5))
beta= [0.0812123]
Bilateral confidence interval= [-1.15266, 1.33812]
beta= [0.95]
Unilateral confidence interval (lower tail)= [-2.23654, 0.985098]
beta= [0.95]
Unilateral confidence interval (upper tail)= [-1.04859, 15.6181]
beta= [0.95]
mean= class=Point name=Unnamed dimension=1 values=[-0.211392]
standard deviation= class=Point name=Unnamed dimension=1 values=[0.641275]
skewness= class=Point name=Unnamed dimension=1 values=[1.13955]
kurtosis= class=Point name=Unnamed dimension=1 values=[5.4]
covariance= class=CovarianceMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[0.411234]
parameters= [class=PointWithDescription name=X0 dimension=2 description=[alpha,beta] values=[2,-0.5]]
standard moment n= 0  value= [1]
standard moment n= 1  value= [0.577216]
standard moment n= 2  value= [1.97811]
standard moment n= 3  value= [5.44487]
standard moment n= 4  value= [23.5615]
standard moment n= 5  value= [117.839]
Standard representative= Gumbel(alpha = 1, beta = 0)
