Accession Number:

ADA196994

Title:

On Empirical Bayes Selection Rules for Negative Binomial Populations

Descriptive Note:

Technical rept.

Corporate Author:

PURDUE UNIV LAFAYETTE IN CENTER FOR STATISTICAL DECISION SCIENCES

Personal Author(s):

Report Date:

1988-05-01

Pagination or Media Count:

31.0

Abstract:

This paper deals with the problem of selecting good negative binomial populations as compared with a standard or a control. The main results are based on the use of the empirical Bayes approach. First the authors derive the monotone empirical Bayes estimators of the concerned parameters. Based on these estimators, they construct monotone empirical Bayes selection rules. Asymptotic optimality properties of the monotone empirical Bayes estimators and the monotone empirical Bayes selection rules are investigated. The respective convergence rates for the estimation problem and for the selection problem are studied, under some conditions.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE