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December, 1972 On Selecting the Least Probable Multinomial Event
Khursheed Alam, James R. Thompson
Ann. Math. Statist. 43(6): 1981-1990 (December, 1972). DOI: 10.1214/aoms/1177690870

Abstract

A single-sample procedure is given for selecting the least probable event in a multinomial distribution. Given two numbers $(c, P^\ast)$, it is required to determine the smallest sample size for which the probability of a correct selection is at least as large as $P^\ast$ when the (unknown) difference between the smallest and the next smallest cell probabilities is greater than or equal to $c$. A table is given showing the required sample size for specified values of $c$ and $P^\ast$.

Citation

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Khursheed Alam. James R. Thompson. "On Selecting the Least Probable Multinomial Event." Ann. Math. Statist. 43 (6) 1981 - 1990, December, 1972. https://doi.org/10.1214/aoms/1177690870

Information

Published: December, 1972
First available in Project Euclid: 27 April 2007

zbMATH: 0249.62062
MathSciNet: MR350930
Digital Object Identifier: 10.1214/aoms/1177690870

Rights: Copyright © 1972 Institute of Mathematical Statistics

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Vol.43 • No. 6 • December, 1972
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