基于无失效数据和复合LINEX损失函数的指数分布模型的Bayes统计推断研究  

Bayes Statistical Inference of Exponential Distribution Model Based on Zero-failure Data and Compound LINEX Loss Function

作　　者：廖莉[1] LIAO Li(School of Mathematics and Computer Science,Yichun University,Yichun 336000,China)

机构地区：[1]宜春学院数学与计算机学院,江西宜春336000

出　　处：《宜春学院学报》2020年第9期8-10,80,共4页Journal of Yichun University

基　　金：国家自然科学基金(11771382)。

摘　　要：基于无失效数据,在复合LINEX损失函数下研究了指数分布模型失效率Bayes估计问题。当参数的先验分布为伽玛分布时,得到了失效率的Bayes估计及E-Bayes估计,最后应用实例的运算结果说明了估计的有效性。Based on the zero failure data,we study the Bayes estimation of the failure rate of the exponential distribution model under the compound LINEX loss function.When the prior distribution of the parameters is the Gamma distribution,the Bayes estimator and E-Bayes estimator of the failure rate are obtained.Finally,the results of the example are used to illustrate the effectiveness of the estimation.

关 键 词：BAYES估计 减函数法 先验分布 复合LINEX损失函数 E-BAYES估计 

分 类 号：O211[理学—概率论与数理统计]