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| 摘要: |
| 讨论了4种二项分布的经验贝叶斯估计,并通过实例比较了这4种方法的优缺点.其中参数化方法缺点是要注意先验分布的选择;最小熵方法的缺点是只能采用数值解法;线性经验贝叶斯方法的优点是不需求出先验分布,结果简明,便于应用,缺点是需要估计局限于样本x的线性函数;条件期望法的优点是不必考虑先验分布的类型、参数等,只需要有充分多的“经验”样本. |
| 关键词: 二项分布,先验分布,经验贝叶斯估计,线性贝叶斯估计 |
| DOI： |
| 分类号:O212.8 |
| 基金项目: |
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| Several empirical Bayes Estimations on binomial distribution |
|
WU Qing
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| Abstract: |
| In this paper,four kinds of empirical estimations on binomial distribution are discussed.The advantages and disadvantages of the estimations are contrasted by examples.If a,b>0,the parametric method takes active.But in practice a<0 or b<0,we must consider |
| Key words: binomial distribution,prior distribution,empirical Bayes estimation,linear Bayes estimation |
