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Empirical Bayes Test for Two-parameter Exponential Distribution under Type-Ⅱ Censored Samples

Empirical Bayes Test for Two-parameter Exponential Distribution under Type-Ⅱ Censored Samples
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摘要 The empirical Bayes test problem is considered for scale parameter of twoparameter exponential distribution under type-II censored data.By using wavelets estimation method,the EB test function is constructed,of which the asymptotic optimality and convergence rates are obtained.Finally,an example concerning the main result is given. The empirical Bayes test problem is considered for scale parameter of twoparameter exponential distribution under type-II censored data.By using wavelets estimation method,the EB test function is constructed,of which the asymptotic optimality and convergence rates are obtained.Finally,an example concerning the main result is given.
作者 WANG Liang SHI Yi-min CHANG Ping
机构地区 Department of Applied Mathematics College of Medicine
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第1期54-58,共5页 数学季刊（英文版）
基金 Supported by the NNSF of China（70471057） Supported by the Natural Science Foundation of the Education Department of Shannxi Province（03JK065）
关键词 two-parameter exponential distribution wavelets estimation empirical Bayes test asymptotic optimality convergence rates two-parameter exponential distribution； wavelets estimation； empirical Bayes test； asymptotic optimality； convergence rates；
分类号 O212.1 [理学—概率论与数理统计]
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参考文献7

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  • 2JOHNS M V,RYZIN J V. Convergence rates in empirical Bayes two-action problem: continuous case[J]. Ann Math Statist,1972,43: 934-947.
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Chinese Quarterly Journal of Mathematics
2012年 第1期

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