Journal of Korean Society of Industrial and Systems Engineering (산업경영시스템학회지)

Society of Korea Industrial and System Engineering (한국산업경영시스템학회)
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Reliability Demonstration Test for a Finite Population Based on the Conjugacy of the Beta-Binomial Distribution

베타-이항분포의 공액성을 근거로 한 유한 모집단의 신뢰성 입증 시험

  • Jeon, Jong-Seon (Department of Industrial and Management Engineering, Hanyang University) ;
  • Ahn, Sun-Eung (Department of Industrial and Management Engineering, Hanyang University)
  • 전종선 (한양대학교 산업경영공학과) ;
  • 안선응 (한양대학교 산업경영공학과)
  • Received : 2012.03.20
  • Accepted : 2012.04.18
  • Published : 2012.06.30
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Abstract

This paper describes the Bayesian approach for reliability demonstration test based on the samples from a finite population. The Bayesian approach involves the technical method about how to combine the prior distribution and the likelihood function to produce the posterior distribution. In this paper, the hypergeometric distribution is adopted as a likelihood function for a finite population. The conjugacy of the beta-binomial distribution and the hypergeometric distribution is shown and is used to make a decision about whether to accept or reject the finite population judging from a viewpoint of faulty goods. A numerical example is also given.

Keywords

References

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