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Signature-Based Analysis of the Weighted- r -within-Consecutive- k -out-of- n : F Systems

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  • Ioannis S. Triantafyllou

    (Department of Statistics & Insurance Science, University of Piraeus, 18534 Piraeus, Greece)

Abstract

In the present paper, we deliver a reliability study of the weighted- r -consecutive- k -out-of- n : F reliability systems consisting of independent and identically distributed components. The signature vector of the structures is arithmetically determined by the aid of an appropriate Monte-Carlo simulation scheme. Several conclusions for the corresponding reliability polynomials are also drawn. An extensive numerical investigation is carried out to evaluate the performance of the weighted- r -consecutive- k -out-of- n : F reliability systems. Some stochastic signature-based comparisons among several members of the underlying family of reliability structures are also discussed.

Suggested Citation

  • Ioannis S. Triantafyllou, 2022. "Signature-Based Analysis of the Weighted- r -within-Consecutive- k -out-of- n : F Systems," Mathematics, MDPI, vol. 10(15), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2554-:d:869211
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    References listed on IDEAS

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    Cited by:

    1. Ioannis S. Triantafyllou & Miltiadis Chalikias, 2023. "Consecutive- k 1 and k 2 -out-of- n : F Structures with a Single Change Point," Stats, MDPI, vol. 6(1), pages 1-12, March.
    2. Luigi-Ionut Catana & Vasile Preda, 2022. "A New Stochastic Order of Multivariate Distributions: Application in the Study of Reliability of Bridges Affected by Earthquakes," Mathematics, MDPI, vol. 11(1), pages 1-14, December.
    3. Ioannis S. Triantafyllou, 2023. "An Archimedean Copulas-Based Approach for m -Consecutive- k -Out-of- n : F Systems with Exchangeable Components," Stats, MDPI, vol. 6(4), pages 1-12, October.

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