无失效数据失效率的综合多层Bayes估计  

The Synthesize Hierarchical Bayesian Estimation of Failure-Rate of Exponential Distribution of Zero-Failure Data

作　　者：熊莲花[1] 张玲玲[1] 

机构地区：[1]合肥工业大学理学院,安徽合肥230009

出　　处：《山西师范大学学报（自然科学版）》2007年第3期23-27,共5页Journal of Shanxi Normal University(Natural Science Edition)

摘　　要：为了对指数分布场合无失效数据的失效率进行估计,在先验分布为截尾Gamma分布时,利用平均剩余寿命和极大似然思想提出了两种引进失效数据的方法,给出了失效率的综合多层Bayes估计,并且结合实际数据进行了计算,计算结果显示此种方法是可行的.In this paper, two kinds of method are put forward by making use of the average surplus life and maximum likelihood decision rule. When prior distribution of failure-rate is in form of the bobtail Gamma distribution, the synthesize hierarchical Bayes- ian estimation of the failure-rate in exponential distribution has come from zero-failure data. Finally calculation is performed regard- ing to practical problem and calculation result manifests that this kinds of method are viable.

关 键 词：无失效数据 失效率 综合多层Bayes估计 平均剩余寿命 

分 类 号：O213.2[理学—概率论与数理统计]