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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

陈家清 刘次华

应用数学2008,Vol.21Issue(3):417-423,7.
应用数学2008,Vol.21Issue(3):417-423,7.

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

Asymptotically Optimal Empirical Bayes Estimation of Parameter for Two-sided Truncated Distribution Family under the Absolute Loss Function

陈家清 1刘次华2

作者信息

  • 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
  • 折叠

摘要

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.

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

Key words

Two-sided truncated distribution/Empirical Bayes estimation/Asymptotic optimality/Absolute loss function

分类

数理科学

引用本文复制引用

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):417-423,7.

基金项目

Supported by the National Natural Science Foundation of China(10301011) (10301011)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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