Bayesian Testing for the Ratio of the Failure Rates in Two Components System

• 발행기관: 한국자료분석학회
• 저자명: 차영준(Young Joon Cha) 조장식(Jang Sik Cho)
• 간행물 정보: 『Journal of The Korean Data Analysis Society (JKDAS)』Vol.8 No.3, 913~918쪽, 전체 6쪽
• 주제분류: 자연과학 > 통계학
• 파일형태: PDF
• 발행일자: 2006.06.30

영문 초록

In this paper, we consider two components system that the lifetimes of the components have independent exponential distributions. And we consider the Bayesian testing for the ratio of the failure rates in the system using Bayes factor. But the Bayes factor depend rather strongly on the prior distributions. Usually, statistical analysis is often required to appear objective. But, since noninformative priors are typically improper, the priors are only up to arbitrary constants which affect the values of Bayes factors. Hence, we compute the fractional Bayes factor proposed by O Hagan(1995) to overcome this problem. So we suggest a Bayesian testing procedure for the ratio of the failure rate in two components system based on fractional Bayes factor. Finally, we give a numerical example to illustrate our procedure.

목차

1. Introduction

2. Preliminaries

3. Bayesian Testing

4. Numerical Example

References

키워드

Bayesian Testing Exponential Model Fractional Bayes Factor Noninformative Priors Posterior Probability