This paper describes the Bayesian and non-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. The predictive distribution of the beta-binomial distribution is shown and will be used for the reliability demonstration test. A numerical example is also given.

• 전종선(한양대학교 산업경영공학과, Department of Industrial and Management Engineering, Hanyang University) | Jong seon Jeon
• 안선응(한양대학교 산업경영공학과, Department of Industrial and Management Engineering, Hanyang University) | Sun eung Ahn