# Analogues of multivariate beta (Dirichlet) distributions

Mitra, Sujit Kumar (1970) Analogues of multivariate beta (Dirichlet) distributions Sankhya - Series A, 32 (2). pp. 189-192. ISSN 0581-572X

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## Abstract

Let $S\sim W_k(n,\boldsymbol\Sigma)$. Write $W= S/\text{tr}\,\boldsymbol\Sigma ˆ - S$ and denote the distribution of $W$ by $D_k(n,\boldsymbol\Sigma)$. Also if $p\sim B(a/2,b/2)$, and $p$ and $W$ are independently distributed, denote the distribution of $p W$ by $D_k(a,b,n,\boldsymbol\Sigma)$. In this paper we study these two families of multivariate distribution and obtain various interesting properties concerning them.

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