截断型分布族参数经验Bayes检验的收敛速度

数学季刊 ›› 2003, Vol. 18 ›› Issue (3): 276-282.

截断型分布族参数经验Bayes检验的收敛速度

1．Department of Applied Mathematics ,Northwestern Polytechnical University ,Xi ’an 710072,China；2. Department of Electronic Engineering ,Northwestern Polytechnical University ,Xi ’an 710072,China

收稿日期:2001-12-24 出版日期:2003-09-30 发布日期:2024-04-09
作者简介:SHI Yi-min（1952－）,male ,native of Xi ’an ,Shaanxi ,a professor of Northwestern Polytechnical University , M．S．D．,engages in applied probability statistics ,reliability theory ,Bayes statistics and inference .

Convergence Rate of Empirical Bayes Test for the Parameter of the Truncated-type Distribution Families

Received:2001-12-24 Online:2003-09-30 Published:2024-04-09
About author:SHI Yi-min（1952－）,male ,native of Xi ’an ,Shaanxi ,a professor of Northwestern Polytechnical University , M．S．D．,engages in applied probability statistics ,reliability theory ,Bayes statistics and inference .

摘要/Abstract

摘要： In this paper ,we construct the empirical Bayes test （EBT）for the parameter of the truncat - ed-type distribution families． It is found that the proposed test is asymptotically optimal． The conver- gence rate of the EBT is given .

关键词: empirical Bayes test, loss function, asymptotic optimality, convergence rate

中图分类号:

O212．2

师义民, 师小琳, 李科学. 截断型分布族参数经验Bayes检验的收敛速度[J]. 数学季刊, 2003, 18(3): 276-282.

SHI Yi-min , SHI Xiao-lin , LI Ke-xue . Convergence Rate of Empirical Bayes Test for the Parameter of the Truncated-type Distribution Families [J]. Chinese Quarterly Journal of Mathematics, 2003, 18(3): 276-282.

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