Inverse sampling subset selection of multinomial cells

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3 Scopus citations

Abstract

A subset selection procedure R is proposed for selecting a subset which includes the t “best” cells (i.e., cells with the t largest cell probabilities) from a multinomial distribution with k cells (1 ≤ t ≤ k). Procedure R uses inverse sampling; the measure of distance is the ratio of the cell probabilities. Type-2 Dirichlet integrals are used (i) to express the probability of a correct selection in terms of integrals with parameters only in the upper or lower limits of integration, and (ii) to prove that (under a condition on the parameter space) the least-favorable configuration for R is the so-called slippage configuration with k equal cell probabilities.

Original languageEnglish (US)
Pages (from-to)41-64
Number of pages24
JournalAmerican Journal of Mathematical and Management Sciences
Volume6
Issue number1-2
DOIs
StatePublished - Jan 1 1986

Keywords

  • Dirichlet integral
  • Indifference-zone formulation
  • Inverse sampling procedure
  • Least-favorable configuration
  • Multinomial distribution
  • Subset-selection formulation

ASJC Scopus subject areas

  • Business, Management and Accounting(all)
  • Applied Mathematics

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