赵林城.一类离散分布参数的经验Bayes估计的收敛速度[J].数学研究及应用,1981,1(1):59~69
一类离散分布参数的经验Bayes估计的收敛速度
Empirical Bayes Estimation with Convergence Rates about a Class of Discrete Distribution Families
投稿时间:1980-12-31  
DOI:10.3770/j.issn:1000-341X.1981.01.007
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赵林城 中国科技大学 
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      In this paper we consider a family of discrete distributions fθ(x)dμ(x), and suppose that the Bayes estimate of φ(θ) with respect to the priori distribution H∈H has a form dH(x) =(?)ak(x)f(x k)/f(x). where f(x)=∫fθdH(θ) . we construct asequence of empirical Bayes estimates and establish its rate of convergence, and prove that under suitable conditions this rate of convergence can arbitrarily close to 1. we also give a counter-example to the main Theorem 2.1 of [5], and then declare that the "Theorem" does not hold.
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