Open Access
September, 1980 A Note on Optimal Subset Selection Procedures
Shanti S. Gupta, Deng-Yuan Huang
Ann. Statist. 8(5): 1164-1167 (September, 1980). DOI: 10.1214/aos/1176345154

Abstract

A result for constructing an "optimal" selection rule for selecting a subset of $k(\geqslant 2)$ populations is given. Attention is restricted to the class of rules for which the infimum of the probability of a correct selection, over a subset of the parameter space, is guaranteed to be a specified number. In this class a rule is derived which minimizes the supremum of the expected size of the selected subset.

Citation

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Shanti S. Gupta. Deng-Yuan Huang. "A Note on Optimal Subset Selection Procedures." Ann. Statist. 8 (5) 1164 - 1167, September, 1980. https://doi.org/10.1214/aos/1176345154

Information

Published: September, 1980
First available in Project Euclid: 12 April 2007

zbMATH: 0459.62019
MathSciNet: MR585715
Digital Object Identifier: 10.1214/aos/1176345154

Subjects:
Primary: 62F07
Secondary: 62G30

Keywords: restricted minimax , subset selection

Rights: Copyright © 1980 Institute of Mathematical Statistics

Vol.8 • No. 5 • September, 1980
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