Mixture Representation of Residual Lifetimes of Living Components in Failed Coherent Systems
Received:February 28, 2017  Revised:December 16, 2017
Key Word: Coherent system   residual lifetime   stochastic ordering   signature   increasing failure rate  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant Nos.11161028; 71361020).
Author NameAffiliation
Jiuhong WEN School of Mathematics, Lanzhou Jiaotong University, Gansu 730070, P. R. China 
Zhengcheng ZHANG School of Mathematics, Lanzhou Jiaotong University, Gansu 730070, P. R. China 
Binxia JIA School of Mathematics, Lanzhou Jiaotong University, Gansu 730070, P. R. China 
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Abstract:
      In this paper we consider a coherent system consisting of $n$ components with independent and identically distributed components. We obtain a mixture representation of the reliability function of the residual lifetime of living components of a coherent system when the system has failed. Based on the concept of signature, stochastic comparisons on the residual life of two systems with stochastically ordered signatures are conducted.
Citation:
DOI:10.3770/j.issn:2095-2651.2018.02.010
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