A Generalized Goal in Restricted Subset Selection Theory

Abstract

A class of multiple decision procedures which selects a random size subset of populations not exceeding m (determined a priori) in size has previously been considered for the problem of selecting the best population among k candidates. The present paper generalizes the earlier results to the goal of selecting at least one of the t best populations. Applications of the basic theory can be made to many specific problems considered in the literature. In the regular case these include selection from univariate normal populations for means and variances, from gamma populations for scale factors and from noncentral chi square or noncentral F populations for noncentrality parameters and in the nonregular case selection from uniform populations with different supports.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1974
Accession Number
AD0780892

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  • Thomas J. Santner

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  • Cornell University

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  • Mathematics

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