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

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  • Krzysztof Jasiński

    (Nicolaus Copernicus University)

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

Suggested Citation

  • Krzysztof Jasiński, 2021. "Some conditional reliability properties of k-out-of-n system composed of different types of components with discrete independent lifetimes," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(8), pages 1241-1251, November.
    • Handle: RePEc:spr:metrik:v:84:y:2021:i:8:d:10.1007_s00184-021-00826-1
    DOI: 10.1007/s00184-021-00826-1
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    References listed on IDEAS

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    3. Jorge Navarro & Maria Longobardi & Franco Pellerey, 2017. "Comparison results for inactivity times of k-out-of-n and general coherent systems with dependent components," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(4), pages 822-846, December.
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    5. Xiaohu Li & Jing Chen, 2004. "Aging properties of the residual life length of k‐out‐of‐n systems with independent but non‐identical components," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 20(2), pages 143-153, April.
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