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指数分布中寿命参数的经验贝叶斯检验

王立春

应用数学2006,Vol.19Issue(3):504-511,8.
应用数学2006,Vol.19Issue(3):504-511,8.

指数分布中寿命参数的经验贝叶斯检验

Empirical Bayes Test for the Life Parameter in the Exponential Distribution

王立春1

作者信息

  • 1. 北京中科院应用数学所,北京,100080
  • 折叠

摘要

Abstract

We consider the test problem of the life parameter in the exponential distribution using empirical Bayes (EB) approach. For the hypothesis Ho: θ≤θ0 against H1 : θ>θ0, we establish the same upper bound for the regret risk of empirical Bayes test by using two different kernel estimation methods under the linear error loss. The rate of convergence obtained here is better than any other earlier results in the literature.

关键词

经验贝叶斯/概率密度估计/收敛速度

Key words

Empirical Bayes/Probability density estimation/Rate of convergence

分类

数理科学

引用本文复制引用

王立春..指数分布中寿命参数的经验贝叶斯检验[J].应用数学,2006,19(3):504-511,8.

基金项目

Supported by the National Natural Science Foundation of China ( 10571001) ( 10571001)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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