刻度平方误差损失函数下几何分布的Bayes可靠性分析  

Bayesian reliability analysis of geometric distribution under a scale squared error loss function

作　　者：周慧[1] ZHOU Hui(School of Mathematics and Computer Science,Yichun University,Jiangxi Yichun 336000,China)

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：《齐齐哈尔大学学报（自然科学版）》2018年第6期86-89,共4页Journal of Qiqihar University(Natural Science Edition)

基　　金：国家自然科学基金(11561068;11771382)

摘　　要：在刻度平方误差损失函数下,研究了几何分布可靠度的Bayes统计推断问题。在可靠度的先验分布为无信息先验分布下,得到了可靠度的Bayes和E-Bayes估计。最后通过Monte Carlo数值模拟对几种估计进行比较。The Bayes statistical inference problem of the reliability of geometric distribution is studied under the scale squared error loss function.Under the assumption Beta prior distribution of reliability,Bayesian and E-Bayesian estimators of the reliability of Geometric distribution are obtained.Finally,estimators are compared by Monte Carlo numerical simulation.

关 键 词：可靠度 BAYES估计 E-BAYES估计 刻度平方误差损失函数 几何分布 

分 类 号：O212.1[理学—概率论与数理统计]