Abstract
This paper builds a mixture representation of the reliability function of the conditional residual lifetime of a coherent system in terms of the reliability functions of conditional residual lifetimes of order statistics. Some stochastic ordering properties for the conditional residual lifetime of a coherent system with independent and identically distributed components are obtained, based on the stochastically ordered coefficient vectors.
Citation
Xiuying Feng. Shuhong Zhang. Xiaohu Li. "A note on the mixture representation of the conditional residual lifetime of a coherent system." J. Appl. Probab. 50 (2) 475 - 485, June 2013. https://doi.org/10.1239/jap/1371648955
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