无失效数据情形指数分布失效率的E-Bayes估计  

The E-Bayesian Estimation of the Failure Rate Derived From Exponential Distribution in the Case of Zero-Failure Data

作　　者：韩明[1] 

机构地区：[1]宁波工程学院理学院,浙江宁波315211

出　　处：《数学的实践与认识》2015年第5期172-178,共7页Mathematics in Practice and Theory

基　　金：宁波市自然科学基金(2013A610108)

摘　　要：提出了一种新的可靠性参数估计方法——E-Bayes估计法.对寿命服从指数分布的产品,在无失效数据情形给出失效率的E-Bayes估计的定义、E-Bayes估计,并在此基础上给出了E-Bayes估计的性质——可靠性参数的E-Bayes估计和多层Bayes估计的关系.最后,结合发动机的实际问题进行了计算,结果表明提出的方法可行且便于应用.This paper introduces a new method, named E-Bayesian estimation method. For exponential distribution, in the case of zero-failure data, the definition and formula of E-Bayesian estimation of the failure rate are provided; moreover, properties of E-Bayesian estimation of the reliability parameters -- relations among the E-Bayesian estimation and hi- erarchical Bayesian estimation are also provided. Finally, calculations performed for practical problems of some engine, show that the Drovided method is feasible and easy to perform.

关 键 词：可靠性 失效率 无失效数据 E-BAYES估计 多层BAYES估计 

分 类 号：O212.7[理学—概率论与数理统计]