摘要
提出了参数估计的一种新方法——E-Bayes估计法.对Pascal分布,给出了可靠度的E-Bayes估计的定义(在先验分布中有一个超参数情形),在此基础上给出了可靠度的E-Bayes估计,并给出了可靠度的E-Bayes估计性质——E-Bayes估计和多层Bayes估计的关系.最后,给出了模拟算例,结果表明本文提出的E-Bayes估计法可行且便于工程应用.
This paper develops a new method of parameter estimation, which is named ＂E-Bayesian estimation method＂. For Pascal distribution, the definition of E-Bayesian estimation （one hyper parameter case in prior distribution） for product reliability were given, and more the formulas of E-Bayesian estimation of the product reliability was given also on the base. Then discusses the character of E-Bayesian estimation--the relations between E-Bayesian estimation and hierarchical Bayesian estimation. Finally, calculations are performed according to simulation example, which show that the E-Bayesian estimation method provided in the paper is feasible, and convenient to use for engineers in engineering.
出处
《大学数学》
北大核心
2007年第3期83-87,共5页
College Mathematics
基金
福建省自然科学基金
福建工程学院人才基金资助项目
