| 二维指数分布场合相依部件系统的贝叶斯分析 |
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| 引用本文：武东,李琼.二维指数分布场合相依部件系统的贝叶斯分析[J].上海第二工业大学(中文版),2024,41(4):424-429 |
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| 基金项目:安徽省高校自然科学研究重点项目(2023AH053108), 安徽省质量工程项目(2022zygzsj056), 安徽农业大学质量工程项目(2021auxsxxkc1) 资助 |
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| 中文摘要:对两部件寿命服从Marshall-Olkin 指数分布的串联系统和并联系统的可靠度进行了贝叶斯(Bayesian,Bayes) 统计分析。在平方误差损失下, 利用混合Metropolis-吉布斯抽样法给出了系统可靠度的Bayes 估计。最后,通过模拟研究表明在串联系统和并联系统的可靠度估计中, Bayes 估计要优于极大似然估计。 |
| 中文关键词:二维指数分布 串联系统 并联系统 贝叶斯估计 |
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| Bayesian Analysis of the Dependent Component System Based on Bivariate Exponential Distribution |
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| Abstract:A Bayesian (Bayes) procedure is presented for estimating the reliability of series system and parallel systems with two component lifetimes under Marshall-Olkin Exponential distribution. Under square error loss, Bayes estimation of the system reliability was proposed by mixed Metropolis-Gibbs sampling methods. Finally, through simulation studies, Bayes estimation for reliability of the
series system and parallel systems is better than maximum likelihood estimation. |
| keywords:Bivariate Exponential distribution series system parallel system Bayesian estimation |
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