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On the residual lifetime of coherent systems with heterogeneous components

P. Samadi, M. Rezaei and M. Chahkandi ()
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P. Samadi: University of Birjand
M. Rezaei: University of Birjand
M. Chahkandi: University of Birjand

Metrika: International Journal for Theoretical and Applied Statistics, 2017, vol. 80, issue 1, No 4, 69-82

Abstract: Abstract The residual lifetime is of significant interest in reliability and survival analysis. In this article, we obtain a mixture representation for the reliability function of the residual lifetime of a coherent system with heterogeneous components in terms of the reliability functions of residual lifetimes of order statistics. Some stochastic comparisons are made on the residual lifetimes of the systems. Some examples are also given to illustrate the main results.

Keywords: Coherent system; Heterogeneous variables; Order statistics; Signature; Stochastic ordering (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s00184-016-0591-y

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