| Mixture Representation of Residual Lifetimes of Living Components in Failed Coherent Systems |
| Received:February 28, 2017 Revised:December 16, 2017 |
| Key Words:
Coherent system residual lifetime stochastic ordering signature increasing failure rate
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11161028; 71361020). |
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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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