| 参数的E Bayes估计法及其应用 |
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| 引用本文： | 韩明.参数的E Bayes估计法及其应用[J].数学的实践与认识,2004,34(9):97-106. |
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| 作者姓名： | 韩明 |
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| 作者单位： | 浙江海洋学院数学系,浙江,舟山,316004;中国人民大学统计学系,北京,100872 |
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| 基金项目： | 浙江省自然科学基金 (1 0 0 0 2 6)，浙江省“1 5 1人才工程”基金 (992 0 71 )，浙江省教育厅基金项目(2 0 0 3 0 2 4) |
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| 摘 要： | 提出了参数的一种估计方法—— E Bayes估计法 ,对寿命服从指数分布的产品 ,在失效率的先验分布为 Gamma分布时 ,给出了失效率的 E Bayes估计和多层 Bayes估计 ,并在此基础上给出了失效率和可靠度的 E Bayes估计的性质 .结合实际问题进行了计算 ,结果表明提出的 E Bayes估计法可行且便于应用 .
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| 关 键 词： | 可靠性 失效率 EBayes估计 多层Bayes估计 |
| 修稿时间： | 2003年12月9日 |
Expected Bayesian Estimation Method of Parameters its Application |
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| HAN Ming.Expected Bayesian Estimation Method of Parameters its Application[J].Mathematics in Practice and Theory,2004,34(9):97-106. |
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| Authors: | HAN Ming |
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| Abstract: | The paper develops a estimate method of parameters, which is named as ″expected Bayesian estimation method″. In the case for exponential distribution, when prior distribution of failure rate is Gamma distribution, the expected Bayesian estimation and hierarchical Bayesian estimation of failure rate were given, and on the base the character of expected Bayesian estimation for failure rate and reliability are given. Finally, calculations are performed regarding to practical problems, which show that the expected Bayesian estimation method is feasible and easy to operate. |
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| Keywords: | reliability failure rate expected Bayesian estimation hierarchical Bayesian estimation |
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