On a sequential subset selection procedure for the least probable multinomial cell

Pinyuen Chen, Lifang Hsu

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

This paper studies a sequential procedure R for selecting a random size subset that contains the multinomial cell which has the smallest cell probability. The stopping rule of the proposed procedure R is the composite of the stopping rules of curtailed sampling, inverse sampling, and the Ramey-Alam sampling. A reslut on the worst configuration is shown and it is employed in computing the procedure parameters that guarantee certain probability requirements. Tables of these procedure parameters, the corresponding probability of correct selection, the expected sample size, and the expected subset size are given for comparison purpose.

Original languageEnglish (US)
Pages (from-to)2845-2862
Number of pages18
JournalCommunications in Statistics - Theory and Methods
Volume20
Issue number9
DOIs
StatePublished - Jan 1 1991

Keywords

  • Curtailed sampling
  • Inverse sampling
  • Stopping rule
  • Worst configuration

ASJC Scopus subject areas

  • Statistics and Probability

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