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On reliability analysis in k-out-of-n systems under Archimedean copula dependence

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  • Longxiang Fang
  • Shuai Zhang
  • Jinling Lu

Abstract

In this paper, we investigate k-out-of-n system with n independent parallel subsystems comprising dependent components drawn from a heterogeneous population consisting of m different subpopulations. The components within each subpopulation are assumed to be dependent, while the subpopulations are independent of each other. We also assume that the subpopulations have different Archimedean copulas for their dependence. Under this setup, we discuss the k-out-of-n systems reliability by comparing two selection probabilities or two allocation policies in the sense of majorization order. In addition, we present some numerical examples to illustrate all the results established here. Finally, some concluding remarks are made.

Suggested Citation

  • Longxiang Fang & Shuai Zhang & Jinling Lu, 2024. "On reliability analysis in k-out-of-n systems under Archimedean copula dependence," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 53(1), pages 365-377, January.
    • Handle: RePEc:taf:lstaxx:v:53:y:2024:i:1:p:365-377
    DOI: 10.1080/03610926.2022.2078840
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