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- W2280922612 abstract "Let $ S_1sim W_k(n_1;boldsymbolSigma)$ and $ S_2sim W_k(n_2,boldsymbolSigma)$ be independent Wishart matrices and $boldsymbolSigma$ be p.d. Consider $ S= S_1+ S_2$ and define $ U=(S)ˆ{-½} S_1[( S)ˆ{-½}]$, where $( S)ˆ{½}$ is the unique lower triangular matrix with positive diagonal elements, such that $( S)ˆ{½}[( S)ˆ{½ }]'= S$, and $( S)ˆ{-½}$ is the inverse of $( S)ˆ{½}$. The joint distribution of the element of the symmetric matrix $ U$ is said to be `matrix variate beta' and is denoted by the symbol $B_k(n_½,n_2/2)$. Several interesting properties of this distribution are obtained in this paper." @default.
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- W2280922612 date "1970-01-01" @default.
- W2280922612 modified "2023-09-26" @default.
- W2280922612 title "A density-free approach to the matrix variate beta distribution" @default.
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