Sample Size for Selecting the Better of Two Weibull Populations

Alfred W. Rademaker, Charles E. Antle

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Suppose an experimenter wishes to select the better of two Weibull populations. In a life testing situation he may have some time r* for which the device must perform properly and he would consider the better population to be the one with the larger reliability at time t*. It is reasonable for the experimenter to test n items from each of the two populations until there are r(r  n) failures from each and then select as better the population for which the maximum likelihood estimate of the reliability at time t* is the larger. This paper presents the sample sizes needed to achieve a desired level for the probability of correct selection with such a decision rule. Reader Aids: Purpose: Report of a derivation Special math needed for explanations: Statistics Special math needed for results: Same Results useful to: Statisticians, theoretically inclined reliability engineers.

Original languageEnglish (US)
Pages (from-to)17-20
Number of pages4
JournalIEEE Transactions on Reliability
VolumeR-24
Issue number1
DOIs
StatePublished - Apr 1975

ASJC Scopus subject areas

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

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