Lognormal selection with applications to lifetime data

Thomas T. John, Pinyuen Chen

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

We consider selection problems on k lognormal (μi, σi2) populations when the σi2 are unequal, under both known & unknown cases. Selection based on linear functions of μ & σ2 are considered. For the unequal & unknown σi2 case, a two-stage Rinott-type asymptotic procedure is proposed. In consideration to reliability & survival analysis applications, an asymptotic procedure is also proposed for the parametric selection based on the α-quantiles. Simulation studies to evaluate the procedures & to compare the latter procedure to the nonparametric procedure based on the α-quantiles are presented. The procedures are demonstrated using examples from reliability & quality control.

Original languageEnglish (US)
Pages (from-to)135-148
Number of pages14
JournalIEEE Transactions on Reliability
Volume55
Issue number1
DOIs
StatePublished - Mar 1 2006

Keywords

  • Alpha-quantiles
  • Lifetime data
  • Lognormal
  • Rinott's procedure
  • Selection of the best
  • Two-stage

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Electrical and Electronic Engineering

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