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在Gamma-Gamma模式下串联结构系统可靠度估计
引用本文:陈庆华.在Gamma-Gamma模式下串联结构系统可靠度估计[J].福建师范大学学报(自然科学版),1987(3).
作者姓名:陈庆华
作者单位: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i的强度X_i~Γ(λ,ν),λ,ν>0,i=1,…,n;系统应力Y~Γ(μ,α),μ,α>0。X_1,…,X_n,Y相互独立。当ν,α已知,λ,μ未知时,本文给出串联结构系统可靠度R_n的MVUE_n、MLE_n和UMAU置信区间。本文还考虑了(?)_n与(?)_n的渐近关系,并证明了(?)_n和(?)_n都是R_n的相合渐近正态估计。本文的所有结果都可以推广到k/n(G)结构系统。

关 键 词:串联结构系统  可靠度  最小方差无偏估计  极大似然估计  一致最精确的无偏置信区间  相合渐近正态估计

Estimation of Reliability for a Series Stress-Strength ystem in the Gamma-Gamma Model
Chen Qing-hua.Estimation of Reliability for a Series Stress-Strength ystem in the Gamma-Gamma Model[J].Journal of Fujian Teachers University(Natural Science),1987(3).
Authors:Chen Qing-hua
Institution:Department of Mathematics
Abstract:MVUER_n, MLER_n, UMAU confident interval of reliability for a series stressstrength system in a Gamma-Gamma model are given in this article. The asymptotieal relation of R_n and R_n is considered in the article. We prove that R_n and R_n are all consistent asymptotically normal estimations of reliability.
Keywords:series stress-strength system  reliability  minimum variance unbiased estimation  maximum likelihood estimation  uniformly most accurate unbiased confident interval  consistent asymptotically normal estimation    
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