Accession Number : ADA112947

Title :   A Bayes Procedure for Selecting the Population with the Largest pth Quantile.

Descriptive Note : Technical rept.,

Corporate Author : CLEMSON UNIV SC DEPT OF MATHEMATICAL SCIENCES

Personal Author(s) : Alam,Khursheed

PDF Url : ADA112947

Report Date : Jul 1981

Pagination or Media Count : 16

Abstract : The Bayesian approach has not been very fruitful in treating nonparametric statistical problems, due to the difficulty in finding mathematically tractable prior distributions on a set of probability measures. The theory of the Dirichlet process has been developed recently. The process generates randomly a family of probability distributions which can be taken as a family of prior distributions for the Bayesian analysis of some nonparametric statistical problems. This paper deals with the problem of selection a distribution with the largest pth quantile value, from k or = 2 given distributions. It is assumed a priori that the given distributions have been generated from a Dirichlet process.

Descriptors :   *Bayes theorem, *Nonparametric statistics, Dirichlet integral, Probability distribution functions, Ranking, Selection

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE