| 绝对损失下双边截断型分布族参数的渐近最优经验Bayes估计 |
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| 引用本文： | 陈家清,刘次华.绝对损失下双边截断型分布族参数的渐近最优经验Bayes估计[J].应用数学,2008,21(3). |
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| 作者姓名： | 陈家清 刘次华 |
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| 作者单位： | 1. 武汉理工大学统计学系,湖北,武汉,430063
2. 华中科技大学数学系,湖北,武汉,430074 |
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| 摘 要： | 本文在绝对损失下构造了双边截断型分布族参数的经验Bayes估计,并在合适的条件下证明了该估计的渐近最优性.最后,给出两个有关本文主要结果的例子.
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| 关 键 词： | 双边截断型分布族 经验Bayes估计 渐近最优性 绝对损失函数 Two-sided truncated distribution Empirical Bayes estimation Asymptotic optimality Absolute loss function 绝对损失 截断型 分布 族参数 渐近最优性 Empirical Bayes 估计 Loss Function Absolute Family Distribution Estimation of Parameter examples results paper estimator optimal conditions estimation parameter |
Asymptotically Optimal Empirical Bayes Estimation of Parameter for Two-sided Truncated Distribution Family under the Absolute Loss Function |
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| CHEN Jia-qing,LIU Ci-hua.Asymptotically Optimal Empirical Bayes Estimation of Parameter for Two-sided Truncated Distribution Family under the Absolute Loss Function[J].Mathematica Applicata,2008,21(3). |
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| Authors: | CHEN Jia-qing LIU Ci-hua |
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| Abstract: | The empirical Bayes(EB) estimation of the parameter is constructed for two-sided truncated distribution family under the absolute loss function.It is shown that the proposed estimator is an asymptotically optimal EB estimation under suitable conditions.Finally,two examples about the main results of this paper are given. |
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| Keywords: | Two-sided truncated distribution Empirical Bayes estimation Asymptotic optimality Absolute loss function |
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