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在伽玛-指数模式下串联结构系统可靠度估计
引用本文:陈庆华.在伽玛-指数模式下串联结构系统可靠度估计[J].数学研究,1996,29(1):74-80.
作者姓名:陈庆华
作者单位:福建师范大学数学系
摘    要:设结构系统由n个结构性部件串联组成.设部件k的强度Xk服从指数分布厂Г(λ,1),λ>0,k=1,2,…,n;系统应力Y服从Gamma分布Г(μ,α),μ,α>0.当α已知,λ,μ未知时,本文给出串联结构系统可靠度RR的MVUERR和MLERR.证明了RR和RR都是RR的相合渐近正态估计.

关 键 词:串联结构系统,可靠度,MVUE,MLE,相合渐近正态估计

Estimation of Reliability for a Series Stress-Strength System in the Gamma-Exponent Model
Chen Qinghua.Estimation of Reliability for a Series Stress-Strength System in the Gamma-Exponent Model[J].Journal of Mathematical Study,1996,29(1):74-80.
Authors:Chen Qinghua
Abstract:MVUE RR and MLE A of reliability for a series stress-strength systerm is a Gamma-Expornent model are given in this article.The asymptotical relation of RR and Rn is considered in the article We prove that and RR are all consistent asymptotically normal estimations of reliability.
Keywords:series stress-strength system  reliability  minimum varience nubiased estimation  maximum likelihood estimation  consistent asymptotically normal estimation
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