Accession Number : AD0684802

Title :   STRUCTURAL DISTRIBUTIONS: THE INEXACTLY TRANSITIVE CASE.

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV MADISON DEPT OF STATISTICS

Personal Author(s) : Bondar,James

Report Date : FEB 1969

Pagination or Media Count : 27

Abstract : Structural distributions are discussed for a class of invariant statistical models. These distributions are shown to be equal to the Bayes posterior distribution obtained from a certain 'uniform' prior related to the right invariant measure on the parameter space. As usual, the structural distributions have a stronger interpretation than the Bayesian ones. A 'consistency criterion' of Sprott's type is proved for these distributions. (Author)

Descriptors :   (*STATISTICAL DISTRIBUTIONS, MEASURE THEORY), GROUPS(MATHEMATICS), SAMPLING, INVARIANCE, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE