On the expected sample size for the bechhofer-kulkarni bernoulli selection procedure

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Abstract

Bechhofer and Kulkarni (1982a) proposed a sequential procedure for selecting the best of k ≥ 2 Bernoulli populations, and in a subsequent paper (1982b) gave an upper bound for the expected number of observations taken from each population by this procedure. In this note we present an asymptotically correct approximation to the expected sample size taken from each population and a slightly improved upper bound on these expected sample sizes.

Original languageEnglish
Pages (from-to)39-49
Number of pages11
JournalSequential Analysis
Volume3
Issue number1
DOIs
Publication statusPublished - 1 Jan 1984

Bibliographical note

Funding Information:
The author thanks Professor Robert Bechhofer f o r having brought this problem to his attention, and for his helpful comments and suggestions. The author i s also grateful t o a referee for a careful reading of the paper, and constructive suggestions. This research was supported by U.S. Army Research Office - Durham Contract DAAG-29-81-K-0168 a t Cornell University.

Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.

Funding

The author thanks Professor Robert Bechhofer f o r having brought this problem to his attention, and for his helpful comments and suggestions. The author i s also grateful t o a referee for a careful reading of the paper, and constructive suggestions. This research was supported by U.S. Army Research Office - Durham Contract DAAG-29-81-K-0168 a t Cornell University.

Keywords

  • Bernoulli selection procedure
  • expected sample size
  • improved bounds
  • sequantial selection

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation

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