Testing class Arcsine
checkConstructorAndDestructor()
checkCopyConstructor()
streamObject(const T & anObject)
class=Arcsine name=Arcsine dimension=1 a=-1 b=1
streamObject(const T & anObject)
class=Arcsine name=Arcsine dimension=1 a=-1 b=1
areSameObjects(const T & firstObject, const T & secondObject)
areDifferentObjects(const T & firstObject, const T & secondObject)
Distribution class=Arcsine name=Arcsine dimension=1 a=5.2 b=11.6
Distribution Arcsine(a = 5.2, b = 11.6)
Elliptical = true
Continuous = true
oneRealization=class=Point name=Unnamed dimension=1 values=[9.66973]
oneSample first=class=Point name=Unnamed dimension=1 values=[11.3856] last=class=Point name=Unnamed dimension=1 values=[7.65026]
mean=class=Point name=Unnamed dimension=1 values=[8.42467]
covariance=class=CovarianceMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[5.18235]
skewness=class=Point name=Unnamed dimension=1 values=[-0.0159154]
kurtosis=class=Point name=Unnamed dimension=1 values=[1.49339]
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=[9.1]
ddf     =class=Point name=Unnamed dimension=1 values=[0.00731882]
ddf (FD)=class=Point name=Unnamed dimension=1 values=[0.00731882]
log pdf=-2.28336
pdf     =0.101941
pdf (FD)=0.101941
cdf=0.570198
ccdf=0.429802
survival=0.429802
Inverse survival=class=Point name=Unnamed dimension=1 values=[5.2394]
Survival(inverse survival)=0.95
quantile=class=Point name=Unnamed dimension=1 values=[11.5606]
cdf(quantile)=0.95
quantile (tail)=class=Point name=Unnamed dimension=1 values=[5.2394]
cdf (tail)=0.95
pdf gradient     =class=Point name=Unnamed dimension=2 values=[0.0130693,-0.0203881]
pdf gradient (FD)=class=Point name=Unnamed dimension=2 values=[0.0130693,-0.0203881]
cdf gradient     =class=Point name=Unnamed dimension=2 values=[-0.0398206,-0.0621201]
cdf gradient (FD)=class=Point name=Unnamed dimension=2 values=[-0.0398206,-0.0621201]
Minimum volume interval=class=Interval name=Unnamed dimension=1 lower bound=class=Point name=Unnamed dimension=1 values=[5.20986] upper bound=class=Point name=Unnamed dimension=1 values=[11.5901] 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(Arcsine(a = 5.2, b = 11.6)) gradientImplementation=MinimumVolumeLevelSetGradient(Arcsine(a = 5.2, b = 11.6)) hessianImplementation=class=CenteredFiniteDifferenceHessian name=Unnamed epsilon=class=Point name=Unnamed dimension=1 values=[0.0001] evaluation=MinimumVolumeLevelSetEvaluation(Arcsine(a = 5.2, b = 11.6)) level=2.30479
beta=0.0997794
Bilateral confidence interval=class=Interval name=Unnamed dimension=1 lower bound=class=Point name=Unnamed dimension=1 values=[5.20986] upper bound=class=Point name=Unnamed dimension=1 values=[11.5901] 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=[5.2] upper bound=class=Point name=Unnamed dimension=1 values=[11.5606] 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=[5.2394] upper bound=class=Point name=Unnamed dimension=1 values=[11.6] finite lower bound=[1] finite upper bound=[1]
beta=0.95
mean=class=Point name=Unnamed dimension=1 values=[8.4]
standard deviation=class=Point name=Unnamed dimension=1 values=[2.26274]
skewness=class=Point name=Unnamed dimension=1 values=[0]
kurtosis=class=Point name=Unnamed dimension=1 values=[1.5]
covariance=class=CovarianceMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[5.12]
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=[[a : 5.2, b : 11.6]]
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=[0.5]
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=[0.375]
standard moment n=5, value=class=Point name=Unnamed dimension=1 values=[0]
Standard representative=Arcsine(a = -1, b = 1)
