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

Krzysztof Jasiński ()
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Krzysztof Jasiński: Nicolaus Copernicus University

Metrika: International Journal for Theoretical and Applied Statistics, 2023, vol. 86, issue 2, No 3, 205-218

Abstract: 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.

Keywords: Coherent systems; Residual lifetime; Discrete lifetime distribution; Order statistics; Stochastic orders; 90B25; 60K10; 60E15 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:metrik:v:86:y:2023:i:2:d:10.1007_s00184-022-00871-4

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DOI: 10.1007/s00184-022-00871-4

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