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.

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 pro

We want to accept or reject a finite population with reliability demonstration test. In this paper, we will describe Bayesian approaches for the reliability demonstration test based on the samples from a finite population. The Bayesian method is an approach that prior distribution and likelihood function combine to from posterior distribution. When we select somethings in a samples, we consider hypergeometric distribution. In this paper, we will explain the conjugacy of the beta-binomial distribution and hypergeometric distribution. The purpose of this paper is to make a decision between accept and reject in a finite population based on the conjugacy of the beta-binomial distribution.