NA样本情形连续型线性指数分布参数的经验Bayes估计  

Empirical Bayes Estimation Problem for the Continuous Parameter of Linear Exponential Distribution in the Case of NA Sample

作　　者：程艳琴[1] 韦程东[1] 陈志强[1] 

机构地区：[1]广西师范学院数学与计算机科学系,广西南宁530001

出　　处：《广西师范学院学报（自然科学版）》2008年第3期42-45,共4页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：广西自然科学基金(0575051)

摘　　要：对连续型线性指数分布在平方损失下导出了参数的Bayes估计,利用同分布负相协(NA)样本构造了经验Bayes(EB)估计量,并在适当的条件下获得(EB)估计的速度.In this paper, the Bayes estimation problem for the continuous parameter of linear exponential distribution has been derived and the empirical Bayes（EB） estimator is constructed by using the identicallly distributed and negatively associated（NA） samples. It is shown that the proposed EB estimator which is asymptotically optimal with convergence rate was established.

关 键 词：连续型线性指数分布 NA样本 经验BAYES估计 收敛速度 

分 类 号：O212.1[理学—概率论与数理统计]