Proceedings of the Korea Society for Industrial Systems Conference (한국산업정보학회:학술대회논문집)
- 1999.05a
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- Pages.191-197
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- 1999
Bayesian Analysis for Burr-Type X Strength-Stress Model
- Kang, Sang-Gil (Department of Statistics, Kyungpook National University) ;
-
Ko, Jeong-Hwan
(Department of Statistics, Andong National University)
;
- Lee, Woo-Dong (Faculty of Information Science, Kyungsan University)
- Published : 1999.05.01
Abstract
In this paper, we develop noninformative priors that are used for estimating the reliability of stress-strength system under the Burr-type X distribution. A class of priors is found by matching the coverage probabilities of one-sided Bayesian credible interval with the corresponding frequentist coverage probabilities. It turns out that the reference prior is a first order matching prior. The propriety of posterior under matching prior is provided. The frequentist coverage probabilities are given for small samples.
Keywords