陈希孺.关于Johns的经验Bayes估计的几点注记[J].数学研究及应用,1981,1(1):71~77
关于Johns的经验Bayes估计的几点注记
Some Notes on Johns' Empirical Bayes Estimation
投稿时间:1981-02-16  
DOI:10.3770/j.issn:1000-341X.1981.01.009
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陈希孺 中国科技大学 
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英文摘要:
      Some problems related to the empirical Bayers estimate proposed by Johns[1] (δn), and its modification (δn′) by Maritz[3], are considered in this artical. The main result concerns the comparison of the remainders R(G,δn) - R(G) and R(G,δn′)-R (G), where R(G,δn) and R(G,δn′) denote the "over-all" Bayes risk(under quadratic loss) of δn and δn′ respectively, and R(G) denotes the Bayes risk of Bayes estimate, and G is the prior distribution.
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