Selection among bernoulli populations with uniformly distributed sample sizes

Document Type

Article

Publication Date

7-1-2014

Abstract

In this article we study the problem of selecting among k independent Bernoulli populations whose success probabilities are unknown, and the sample size for each population is assumed to follow a discrete uniform distribution with known range. We consider two goals and propose procedures for each goal: (1) selecting the best and (2) selecting the best in comparison with a standard. The "best" is defined as that having the highest success probability. We derive the probability of a correct selection and the least favorable configuration for each procedure by using the exact binomial distribution, without any approximation. Simulations and examples are provided to illustrate our procedures.

Publication Title

American Journal of Mathematical and Management Sciences

Volume

33

Issue

3

First Page

176

Last Page

193

Digital Object Identifier (DOI)

10.1080/01966324.2014.923352

ISSN

01966324

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