对称损失下二项分布参数的E-Bayes估计及其性质  

The E-Bayesian Estimation of Parameter for Binomial Distribution and Its Properties Under Symmetry Loss Function

作　　者：韩明[1] 

机构地区：[1]宁波工程学院理学院,浙江宁波315211

出　　处：《数学的实践与认识》2016年第5期231-238,共8页Mathematics in Practice and Theory

基　　金：宁波市自然科学基金(2013A610108)

摘　　要：在已有的文献中提出了一种新的参数估计方法——E-Bayes估计法.在对称损失函数下,对二项分布的参数给出了E-Bayes估计和多层Bayes估计,并给出了E-Bayes估计的性质.最后,给出了数值算例,结果表明提出的方法可行且便于应用.In the existing literature,introduces a new parameter estimation method—EBayesian estimation method.In this paper,based on the symmetry loss function,to estimate the parameter derived form binomial distribution,formulas of E-Bayesian estimation and hierarchical Bayesian estimation for the parameter are provided,moreover,the properties of E-Bayesian estimation are also provided.Finally,numerical example is given,the results show that the proposed method is feasible and convenient for application.

关 键 词：二项分布 渐近性质 E-BAYES估计 多层BAYES估计 对称损失函数 

分 类 号：O212.8[理学—概率论与数理统计]