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Orderings of fail-safe systems with components having Marshall-Olkin-Harris lifetime distributions

Author

Listed:
  • Ghobad Barmalzan
  • Abbas Akrami
  • Ali Akbar Hosseinzadeh
  • Narayanaswamy Balakrishnan

Abstract

In this paper, we discuss stochastic comparisons of two fail-safe systems in two different directions. First, we present sufficient conditions for the usual stochastic order between two fail-safe systems have different lifetime distributions but with the same Archimedean copula for their joint distribution. Next, hazard rate orderings of two fail-safe systems with independent components following multiple-outlier models are established. Several illustrative examples are also presented.

Suggested Citation

  • Ghobad Barmalzan & Abbas Akrami & Ali Akbar Hosseinzadeh & Narayanaswamy Balakrishnan, 2023. "Orderings of fail-safe systems with components having Marshall-Olkin-Harris lifetime distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(19), pages 7022-7040, October.
    • Handle: RePEc:taf:lstaxx:v:52:y:2023:i:19:p:7022-7040
    DOI: 10.1080/03610926.2022.2037648
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