On a Conjecture Concerning Least Favorable Configurations in Certain Two-Stage Selection Procedures.

Abstract

Given k normal populations with unknown means and a common known (or unknown) variance a two-stage procedure P sub 1 with screening in the first stage to find the population with the largest mean is under concern. It was proposed and studied previously by cohen (1959), Alam (1970), Tamhane and Bechhofer (1977, 1979) and Gupta and Miescke (1979). But up to now a conjecture concerning least favorable parameter configurations in an indifference zone approach remained unproved for k > or = 3. In this paper we give a non-standard proof of the conjecture in case of k = 3 for P sub 1 which (under minor changes) works also for a simplified version P sub 2. Besides, the point is exposed where another (more intuitive) method of proof fails to work. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1979
Accession Number
ADA077591

Entities

People

  • Joachim Sehr
  • Klaus-j. Miescke

Organizations

  • Purdue University

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Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.