| 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 |
| 中文关键词: |
| 英文关键词: |
| 基金项目: |
|
| 摘要点击次数: 2402 |
| 全文下载次数: 1017 |
| 中文摘要: |
| |
| 英文摘要: |
| 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. |
| 查看全文 查看/发表评论 下载PDF阅读器 |
|
|
|
