Some conditional reliability properties of k-out-of-n system composed of different types of components with discrete independent lifetimes

Krzysztof Jasiński ()
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Krzysztof Jasiński: Nicolaus Copernicus University

Metrika: International Journal for Theoretical and Applied Statistics, 2021, vol. 84, issue 8, No 6, 1251 pages

Abstract: Abstract In this paper, we study reliability properties of k-out-of-n system consisting of l $$(1\le l\le n)$$ ( 1 ≤ l ≤ n ) different types of components with discrete, independent lifetimes. We obtain some conditional survival functions of lifetime of a used system. Next, we use them to calculate two conditional failure probabilities of k-out-of-n systems and show that they are equal to unconditional failure probability of a k-out-of- $$(n-r)$$ ( n - r ) system, $$r

Keywords: Discrete lifetime distributions; k-out-of-n system; Not identically distributed random variables; Reliability theory (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s00184-021-00826-1

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