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A Note on Inverse Sampling Procedures for Selecting the Best Binomial Population

Donald A. Berry, D. H. Young

The Annals of Statistics · 1977 · Volume 5 · Issue 1

DOI: 10.1214/aos/1176343759

Abstract

Two inverse sampling procedures, one that uses the classical vector-at-a-time observation rule and another that uses the play-the-winner observation rule, are shown to select the best of $k$ binomial populations with the same probability, independent of the probabilities of success. This shows that the play-the-winner rule is better from the point of view that both the sample size and number of failures of each population are stochastically smaller using play-the-winner than vector-at-a-time.

Keywords

62F07, Binomial selection, inverse sampling, play-the-winner sampling, vector-at-a-time sampling

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