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Apart from pre- and post-multiplication by a fixed matrix and its transpose, the Wishart matrix A can be written as the product of a triangular matrix and its transpose, whose elements are independent normal and chi variables. Various applications of this representation are indicated. Examples are given concerning the diagonal elements of A^-1, the sample ordinary and multiple correlation coefficient, the characteristic roots of A and the sphericity criterion in the bivariate case.
Robert A. Wijsman (Mon,) studied this question.