An integrated selection formulation for the best normal mean: The unequal and unknown variance case

Pinyuen Chen, Jun Lue Zhang

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

This paper considers an integrated formulation in selecting the best normal mean in the case of unequal and unknown variances. The formulation separates the parameter space into two disjoint parts, the preference zone (PZ) and the indifference zone (IZ). In the PZ we insist on selecting the best for a correct selection (CS1) but in the IZ we define any selected subset to be correct (CS2) if it contains the best population. We find the least favorable configuration (LFC) and the worst configuration (WC) respectively in PZ and IZ. We derive formulas for P(CS1|LFC), P(CS2\WC) and the bounds for the expected sample size E(N). We also give tables for the procedure parameters to implement the proposed procedure. An example is given to illustrate how to apply the procedure and how to use the table.

Original languageEnglish (US)
Pages (from-to)23-42
Number of pages20
JournalJournal of Applied Mathematics and Decision Sciences
Volume6
Issue number1
DOIs
StatePublished - 2002

Keywords

  • Integrated formulation
  • Two-stage selection procedure

ASJC Scopus subject areas

  • Decision Sciences(all)
  • Statistics and Probability
  • Computational Mathematics
  • Applied Mathematics

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