New Developments on Stochastic Properties of Coherent Systems

被引:11
作者
Kelkinnama, Maryam [1 ]
Tavangar, Mahdi [2 ]
Asadi, Majid [2 ,3 ]
机构
[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran
[2] Univ Isfahan, Dept Stat, Esfahan 81744, Iran
[3] Inst Res Fundamental Sci IPM, Sch Math, Tehran 193955746, Iran
关键词
Coherent systems; exchangeability; residual lifetime; signature vector; RESIDUAL LIFETIMES; ORDERING PROPERTIES; AGING PROPERTIES; COMPONENTS; SIGNATURES; RELIABILITY; NUMBER; LIFE;
D O I
10.1109/TR.2015.2431682
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
We consider a coherent system consisting of components where the component lifetimes are assumed to be random variables following a probabilistically exchangeable joint distribution function, where the probability distribution does not change with any permutation of the components. We study stochastic properties of the residual lifetime of live components of the system, under different conditions. The number of failed components of the system are explored, under the assumption that the system is operating at time. We also study the probability that the ith component failure in the system causes the system failure, given that the system is operating at time t. The results of the paper extend some of the existing results in the literature.
引用
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页码:1276 / 1286
页数:11
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