We consider the central Beta matrix variates of both kinds, and establish the expressions of the densities of integral powers of these variates, for all their three types of distributions encountered in the statistical literature: entries, determinant, and latent roots distributions. Applications and computation of credible intervals are presented.

中文翻译：

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中央β矩阵变量的幂分布和应用

我们考虑这两种类型的中央Beta矩阵变量，并针对统计文献中遇到的所有三种分布类型（条目，行列式和潜在根分布）建立这些变量的积分幂密度的表达式。介绍了可信区间的应用和计算。