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An Archimedean Copulas-Based Approach for m -Consecutive- k -Out-of- n : F Systems with Exchangeable Components

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  • Ioannis S. Triantafyllou

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

Abstract

It is evident that several real-life applications, such as telecommunication systems, call for the establishment of consecutive-type networks. Moreover, some of them require more complex connectors than the ones that exist already in the literature. Thereof, in the present work we provide a signature-based study of a reliability network consisting of identical m -consecutive- k -out-of- n : F structures with exchangeable components. The dependency of the components of each system is modeled with the aid of well-known Archimedean copulas. Exact formulae for determining the expected lifetime of the underlying reliability scheme are provided under different Archimedean copulas-based assumptions. Several numerical results are carried out to shed light on the performance of the resulting consecutive-type design. Some thoughts on extending the present study to more complex consecutive-type reliability structures are also discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jstats:v:6:y:2023:i:4:p:70-1125:d:1264160
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    References listed on IDEAS

    as
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