# Accession Number:

## AD0739440

# Title:

## A Disguised Wishart Variable and a Related Theorem.

# Descriptive Note:

## Technical rept.,

# Corporate Author:

## WISCONSIN UNIV MADISON DEPT OF STATISTICS

# Personal Author(s):

# Report Date:

## 1971-08-01

# Pagination or Media Count:

## 14.0

# Abstract:

In considering the construction of a tolerance region of beta-expectation from the Bayesian point of view, the authors were confronted with finding the distribution of the kxk matrix of random variables R PVP, where PP Sigma sup -1, and where the kxk matrix Sigma sup -1 has the Wishart distribution, matrix n-1V sup-1, and degrees of freedom n-1, with V a symmetric kxk positive definite matrix of constants. In the paper, the authors find this distribution for the case where P is a lower triangular matrix with positive diagonal elements. Author

# Descriptors:

# Subject Categories:

- Statistics and Probability