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On the admissibility of estimators of the zero class in poisson populations

 

作者: Ahmad Parsian,  

 

期刊: Communications in Statistics - Simulation and Computation  （Taylor Available online 1988）
卷期: Volume 17, issue 1  

页码: 177-186

 

ISSN:0361-0918

 

年代: 1988

 

DOI:10.1080/03610918808812655

 

出版商: Marcel Dekker, Inc.

 

关键词: admissible estimator;Bayes estimator;Bayes risk;improper prior;loss function;Poisson

 

数据来源: Taylor

 

摘要:

Let T = x1+ x2+ … + xnwhere x1,…, xnare independent and identically distributed randon variables each having a poission distribution with mean θ. It is proved that each of the estimators ((n+k−1)/(n+k))T, k = 0,1,2,… is admissible for estimating exp(−θ) when the loss function is squared error.

 

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