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On conditional residual lifetimes of coherent systems consisting of components with discrete lifetimes

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  • Krzysztof Jasiński

    (Nicolaus Copernicus University)

Abstract

In this paper, we consider a coherent system composed of components whose lifetimes are independent and identically discretely distributed random variables. We study several aging and stochastic properties of the conditional residual lifetime of the system under the condition that some of its components have failed by time t. Moreover, we compare the conditional residual lifetimes of two coherent systems by using various stochastic orders.

Suggested Citation

  • Krzysztof Jasiński, 2023. "On conditional residual lifetimes of coherent systems consisting of components with discrete lifetimes," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 86(2), pages 205-218, February.
    • Handle: RePEc:spr:metrik:v:86:y:2023:i:2:d:10.1007_s00184-022-00871-4
    DOI: 10.1007/s00184-022-00871-4
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