distr_Uni_EVSK_Th {MultiStatM}R Documentation

EVSK Uniform on the sphere

Description

Computes the theoretical values of the mean vector, covariance, skewness vector, total skenwness, kurtosis vector and total kurtosis for the Uniform distribution on the sphere. Note that Skewness is ZERO

Usage

distr_Uni_EVSK_Th(d, nCum = TRUE)

Arguments

d

dimensions

nCum

if it is TRUE then cumulants, skewness an kurtosis are calculated

Value

The list with mean vector, covariance, skewness vector, total skenwness, kurtosis vector and total kurtosis

References

Gy.Terdik, Multivariate statistical methods - Going beyond the linear, Springer 2021 Proposition 5.3 p.297

S. R. Jammalamadaka, E. Taufer, Gy. Terdik. On multivariate skewness and kurtosis. Sankhya A, 83(2), 607-644.

See Also

Other Theoretical Moments and Cumulants: distr_CFUSN_MomCum_Th(), distr_SkewNorm_EVSK_Th(), distr_SkewNorm_MomCum_Th(), distr_UniAbs_EVSK_Th(), distr_Uni_MomCum_Th(), distr_ZabsM_MomCum_Th(), distr_Zabs_MomCum_Th()

Other Multivariate distributions: distr_CFUSN_MomCum_Th(), distr_CFUSN_Rand(), distr_CFUSSD_Rand(), distr_SkewNorm_EVSK_Th(), distr_SkewNorm_MomCum_Th(), distr_SkewNorm_Rand(), distr_UniAbs_EVSK_Th(), distr_Uni_MomCum_Th(), distr_Uni_Rand(), distr_ZabsM_MomCum_Th(), distr_Zabs_MomCum_Th()


[Package MultiStatM version 1.2.1 Index]