Accession Number : ADA140179

Title :   Bayes-P* Subset Selection Procedures for the Best Population.

Descriptive Note : Technical rept.,

Corporate Author : PURDUE UNIV LAFAYETTE IN DEPT OF STATISTICS

Personal Author(s) : Gupta,S S ; Yang,H M

PDF Url : ADA140179

Report Date : Feb 1984

Pagination or Media Count : 36

Abstract : Two new selection procedures, called nonrandomized and randomized Bayes-P* procedures are defined for selecting a small nonempty subset of k populations which contains the best population. It is shown that these procedures have some optimal properties. If we restrict attention to the class D(D*) of all nonrandomized (randomized) selection procedures, which satisfy the PP*-condition, that is the posterior probability of a correct selection, for any given observation X = x, is not less than P*, a predetermined number between l/k and l, then these two new selection procedures are shown also to be Bayes decision procedures in the class D and D* respectively, provided that some regularity conditions are satisfied. Robustness of these procedures and comparisons with some other selection procedures are studied by using Monte Carlo simulations. (Author)

Descriptors :   *Population(Mathematics), *Selection, *Bayes theorem, Set theory, Decision making, Efficiency, Statistical processes, Comparison, Monte Carlo method, Optimization

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE