• 제목/요약/키워드: Burr-type X model

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Noninformative Priors for Stress-Strength System in the Burr-Type X Model

  • Kim, Dal-Ho;Kang, Sang-Gil;Cho, Jang-Sik
    • Journal of the Korean Statistical Society
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    • 제29권1호
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    • pp.17-27
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    • 2000
  • In this paper, we develop noninformative priors that are used for estimating the reliability of stress-strength system under the Burr-type X model. 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 as well as the Jeffreys prior are the second order matching prior. The propriety of posterior under the noninformative priors is proved. The frequentist coverage probabilities are investigated for samll samples via simulation study.

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Bayes Estimation for the Reliability and Hazard Rate the Burr Type X Failure Model

  • Jang Sik Cho;Hee Jae Kim;Sang Gil Kang
    • Communications for Statistical Applications and Methods
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    • 제5권3호
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    • pp.723-731
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    • 1998
  • In this paper, we consider a hierarchical Bayes estimation of the parameter, the reliability and hazard rate function based on samples from a Burr type X failure model. Bayes calculations can be implemented by means of the Gibbs sampler and a numerical study us provided.

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Bayesian Analysis for Burr-Type X Strength-Stress Model

  • Kang, Sang-Gil;Ko, Jeong-Hwan;Lee, Woo-Dong
    • 한국산업정보학회:학술대회논문집
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    • 한국산업정보학회 1999년도 춘계학술대회 발표논문집
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    • pp.191-197
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    • 1999
  • 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.

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Bayesian Analysis for Burr-Type XStrength-Stress Model

  • Kang, Sang-gil;Ko, Jeong-Hwan;Lee, Woo-Dong
    • 한국산업정보학회논문지
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    • 제4권4호
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    • pp.47-52
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    • 1999
  • 본 논문에서는 Burr Type-X 분포하에서 stress-strength 의 신뢰도를 추정하는 데 사용되어지는 비정보적 사전분포들을 개발하는 것이다. 개발된 reference 사전분포가 first order matching 사전분포가 된다는 것이 밝혀졌으며, 또한 matching 사전분포하에서 사후분포의 타당성을 밝혔다. 소표본하에서, 고전적 포함확률들이 주여져 있다.

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