베타-이항분포의 공액성을 근거로 한 유한 모집단의 신뢰성 입증 시험Reliability Demonstration Test for a Finite Population Based on the Conjugacy of the Beta-Binomial Distribution
- Other Titles
- Reliability Demonstration Test for a Finite Population Based on the Conjugacy of the Beta-Binomial Distribution
- Authors
- 전종선; 안선응
- Issue Date
- Jun-2012
- Publisher
- 한국산업경영시스템학회
- Keywords
- Bayesian Approach; Hypergeometric Distribution; Beta-Binomial Distribution; Finite Population; Reliability Demonstration Test.
- Citation
- 한국산업경영시스템학회지, v.35, no.2, pp 98 - 105
- Pages
- 8
- Indexed
- KCI
- Journal Title
- 한국산업경영시스템학회지
- Volume
- 35
- Number
- 2
- Start Page
- 98
- End Page
- 105
- URI
- https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/35105
- ISSN
- 2005-0461
- 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.
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