| 指数分布参数多层Bayes和E Bayes估计的性质 |
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| 引用本文： | 王建华,夏小艳.指数分布参数多层Bayes和E Bayes估计的性质[J].应用数学,2008(Z1). |
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| 作者姓名： | 王建华 夏小艳 |
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| 作者单位： | 武汉理工大学理学院数学系;华中科技大学数学与统计学院; |
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| 摘 要： | 本文讨论无失效数据下指数分布参数多层Bayes估计和E Bayes估计的性质,在超参数分别取两种不同的先验分布下,证明参数的多层Bayes估计和E Bayes估计渐近相等,且多层Bayes估计值小于E Bayes估计值.
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| 关 键 词： | 指数分布 参数估计 多层Bayes估计 E Bayes估计 |
The Property of Hierarchical Bayesian and E Bayesian Estimation of Exponent Distribution's Parameter |
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| WANG Jian-hua,XIA Xiao-yan.The Property of Hierarchical Bayesian and E Bayesian Estimation of Exponent Distribution's Parameter[J].Mathematica Applicata,2008(Z1). |
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| Authors: | WANG Jian-hua XIA Xiao-yan |
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| Institution: | 1.Department of Mathematics;College of Science;Wuhan University of Technology;Wuhan 430074;China;2.School of Mathematics and Statistics;Huazhong University of Science and Technology;China |
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| Abstract: | This paper researches the asymptotic property of hierarchical Bayesian and E Bayesian estimation of exponent distribution's parameter in zero-failure data.For two prior distributions of the super parameters,paper gives the mathematical proof of that the hierarchical Bayesian estimation of exponent distribution's parameter is asymptotic equal to its E Bayesian estimation separately and hierarchical Bayesian estimation of exponent distribution's parameter is smaller than its E Bayesian estimation. |
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| Keywords: | Exponent distribution Parameter estimation Hierarchical Bayesian estimation E Bayesian estimation |
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