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Stochastic Comparisons of Lifetimes of Used Standby Systems

Author

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  • Mohamed Kayid

    (Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11451, Saudi Arabia)

  • Mashael A. Alshehri

    (Department of Quantitative Analysis, College of Business Administration, King Saud University, Riyadh 11362, Saudi Arabia)

Abstract

In this paper, we first establish upper stochastic bounds on the lifetime of a used cold standby system with arbitrary age, using the likelihood ratio order and the usual stochastic order. Then, stochastic comparisons are made between the lifetime of a used cold standby system with age t and the lifetime of a cold standby system consisting of used components with age t using the likelihood ratio order and the usual stochastic order. We use illustrative examples to explore the results presented.

Suggested Citation

  • Mohamed Kayid & Mashael A. Alshehri, 2023. "Stochastic Comparisons of Lifetimes of Used Standby Systems," Mathematics, MDPI, vol. 11(14), pages 1-17, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3042-:d:1190006
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    References listed on IDEAS

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    Cited by:

    1. Mansour Shrahili & Mohamed Kayid, 2023. "Stochastic Orderings of the Idle Time of Inactive Standby Systems," Mathematics, MDPI, vol. 11(20), pages 1-21, October.

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