Multivariate skewness and kurtosis

2018 ◽  
Vol 29 (1) ◽  
pp. 71-81
Author(s):  
Chong Sun Hong ◽  
Jae Hyun Sung
Author(s):  
Reinaldo B. Arellano-Valle ◽  
Adelchi Azzalini

AbstractFor the family of multivariate probability distributions variously denoted as unified skew-normal, closed skew-normal and other names, a number of properties are already known, but many others are not, even some basic ones. The present contribution aims at filling some of the missing gaps. Specifically, the moments up to the fourth order are obtained, and from here the expressions of the Mardia’s measures of multivariate skewness and kurtosis. Other results concern the property of log-concavity of the distribution, closure with respect to conditioning on intervals, and a possible alternative parameterization.


1994 ◽  
Vol 38 (3) ◽  
pp. 547-551 ◽  
Author(s):  
T. F. Móri ◽  
V. K. Rohatgi ◽  
G. J. Székely

Sankhya A ◽  
2020 ◽  
Author(s):  
Sreenivasa Rao Jammalamadaka ◽  
Emanuele Taufer ◽  
Gyorgy H. Terdik

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