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Biometrika 1979 66(1):174-176; doi:10.1093/biomet/66.1.174
© 1979 by Biometrika Trust
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Miscellanea

On the behaviour of the probability function for selecting the best normal population

Y. L. TONG and DAVID E. WETZELL

Department of Mathematics and Statistics, University of Nebraska Lincoln

When selecting the best normal population with the largest mean, how does the probability function of correct selection behave when the number of observations from a given population increases? In this note we provide answers to this question under a more general setting. A negative and a positive result are given; their proofs involve an application of Slepian's inequality.

Key Words: Probability of correct selection • Ranking and selection • Sample size


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