三种损失函数下系统可靠度的Bayes算法——以串并联系统为例  

Bayes Algorithm of System Reliability Degree under three Kinds of Loss Functions

作　　者：康达[1] 

机构地区：[1]浙江工贸职业技术学院,浙江温州325003

出　　处：《浙江工贸职业技术学院学报》2017年第4期58-60,共3页Journal of Zhejiang Industry & Trade Vocational College

基　　金：2016年度浙江工贸职业技术学院第二期教师科技创新活动计划项目(G160211)

摘　　要：损失函数是一种衡量损失和错误程度的函数,将损失函数与Bayes统计相结合,构建出系统可靠度及后验分布参数的三种损失函数的算法。文中选取双边截尾的样本,当参数的先验分布服从伽玛分布时,以串并联系统为例,推导三种损失函数下的系统可靠度及后验分布参数的Bayes算法。并采用Monte-Carlo实验法随机产生多组数值取均值后,计算出该三种损失函数可靠性的估计值。Making use of the loss function is a property of measuring loss degree and error degree. The loss function is combined with Bayes statistics, which constructs three kinds of loss functions algorithm about system reliability and posterior distribution parameters. In this paper, we select bilateral truncated samples. when the prior distribution of the parameters obeys gamma distribution, and we take series-parallel system as an example to derive system reliability degree and the posterior distribution parameter of the Bayes algorithm under three kinds of loss function. Moreover, adopting Monte Carlo experiment method to generate the mean of multiple sets of values at random, the estimate of the reliability of the three kinds of loss functions is calculated.

关 键 词：串并联系统 可靠度 BAYES估计 损失函数 

分 类 号：O213.2[理学—概率论与数理统计]