艾拉姆咖分布参数的贝叶斯估计摘要 在研究武器装备的维修时间的过程中，俄罗斯的数学家引入了艾拉姆咖分布，该分布对装备维修理论的研究起到了积极的作用。首先，我的的论文在经典统计学中，对艾拉姆咖分布的参数进行了矩估计和最大似然估计；然后，在选取指数分布函数作为先验分布的条件下，研究了艾拉姆咖分布在、复合、和复合损失函数下的估计，并且深入对艾拉姆咖分布的参数在复合和损失函数下的多层估计的研究；最后，利用软件，产生了一组随机数，对在损失函数的情况下，比较了矩估计、最大似然估计和估计的三个估计的估计值；并且对不同损失函数下，不同参数值对艾拉拉姆咖分布的估计的估计值变化的影响进行了研究。关键词 损失函数 估计 多层估计 数值模拟 软件Bayesian Estimation of Эрланга Distribution Parameters under Different Loss FunctionsAbstract The Эрланга Distribution Parameters plays an important role in studying the maintenance of the moment estimation First, this paper in classical statistics, compared in the case of Linex loss the and he moment estimation maximum likelihood estimation;Then, under the condition of selecting the function as the prior distribution, exponential distribution is studied in Linex, composite Linex, MLinex and composite MLinex bayesian, and further to the parameters of 第 I 页the exponential distribution, the the moment estimation of the exponential distribution oss function of empirical bayes estimation and bayesian estimation research; Finally, using matlab software, a set of random Numbers is created, and the estimation values of the moment estimation, maximum likelihood estimation and bayesian estimation are compared in the case of Linex loss funection. In addition, the moment estimration of the exponedntial distrribution and the estimtation valdues of the modment estidmation loss functions.Key words Loss function Bayesian estimation of Multilayer bayesian estimation Data simulation Matl...
