Title
The Matsumoto–Yor property on trees for matrix variates of different dimensions
Abstract
The paper is devoted to an extension of the multivariate Matsumoto–Yor (MY) independence property with respect to a tree with p vertices to the case where random variables corresponding to the vertices of the tree are replaced by random matrices. The converse of the p-variate MY property, which characterizes the product of one gamma and p−1 generalized inverse Gaussian distributions, is extended to characterize the product of the Wishart and p−1 matrix generalized inverse Gaussian distributions.
Year
DOI
Venue
2015
10.1016/j.jmva.2015.05.018
Journal of Multivariate Analysis
Keywords
Field
DocType
62E10,60E05,62H05
Discrete mathematics,Multivariate gamma function,Random variate,Combinatorics,Matrix (mathematics),Matrix gamma distribution,Inverse-Wishart distribution,Statistics,Wishart distribution,Mathematics,Random matrix,Matrix t-distribution
Journal
Volume
Issue
ISSN
141
C
0047-259X
Citations 
PageRank 
References 
1
0.63
0
Authors
1
Name
Order
Citations
PageRank
Konstancja Bobecka110.96