基于记录值样本的Topp-Leone分布参数的Bayes估计  

Bayesian Estimation of Parameter of Topp-Leone Distribution Based on Record Values

作　　者：阳连武[1] 黄伟凡[1] YANG Lian - wu HUANG Wei - fan(School of Mathematics and Computer Science, Yichun University, Yichun 336000, Chin)

机构地区：[1]宜春学院数学与计算机科学学院,江西宜春336000

出　　处：《宜春学院学报》2017年第9期5-7,共3页Journal of Yichun University

基　　金：国家自然科学基金(11361067)

摘　　要：基于记录值样本讨论了Topp-Leone分布参数的Bayes统计推断问题。给出了参数的最大似然估计,在熵损失函数下导出了参数的Bayes估计和经验Bayes估计。最后在不同给定条件下讨论了一类拟线性估计的可容许性和不可容许性问题。This paper discussed the estimation of parameter of Topp-Leone distribution based on recorded values. First,the maximum likelihood estimator is obtained. Then the Bayesian and empirical Bayesian estimator are derived under entropy loss function. Finally,the admissibility and inadmissibility of a family of inverse linear estimators are also discussed under different given conditions.

关 键 词：可容许性 Bayes和经验Bayes估计 记录值 熵损失函数 

分 类 号：O213[理学—概率论与数理统计]