A two-stage minimax procedure with screening for selecting the largest normal mean (ii): An improved pcs lower bound and associated tables

Ajit C Tamhane, Robert E. Bechhofer

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

This paper is a follow-up to an earlier article by the authors in which they proposed a two-stage procedure with screening to select the normal population with the largest population mean when the populations have a common known variance. The two-stage procedure has the highly desirable property that the expected total number of observations required by the procedure is always less than the total number of observations required by the corresponding single-stage procedure of Bechhofer (1954), regardless of the configuration of the population means. The present paper contains new results which make possible the more efficient implementation of the two-stage procedure. Tables for this purpose are given, and the improvements achieved (which are substantial) are assessed.

Original languageEnglish (US)
Pages (from-to)337-358
Number of pages22
JournalCommunications in Statistics - Theory and Methods
Volume8
Issue number4
DOIs
StatePublished - Jan 1 1979

Keywords

  • indifference-zone approach
  • minimax procedure
  • ranking procedure
  • screening
  • selection procedure
  • two-stage procedure

ASJC Scopus subject areas

  • Statistics and Probability

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