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Stochastic comparisons of parallel systems with starting devices

Author

Listed:
  • Ghobad Barmalzan
  • Sajad Kosari
  • Narayanaswamy Balakrishnan

Abstract

In this paper, we consider stochastic comparisons of parallel systems with location-scale distributed components equipped with starting devices. We specifically establish the hazard rate order of parallel systems with two location-scale distributed components equipped with starting devices when the starting devices have different probabilities but with the same location-scale distributed component. Next, we present the usual stochastic order of parallel systems with n location-scale distributed components equipped with starting devices. We also provide some numerical examples to illustrate all the comparison results established here.

Suggested Citation

  • Ghobad Barmalzan & Sajad Kosari & Narayanaswamy Balakrishnan, 2023. "Stochastic comparisons of parallel systems with starting devices," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(1), pages 170-182, January.
    • Handle: RePEc:taf:lstaxx:v:52:y:2023:i:1:p:170-182
    DOI: 10.1080/03610926.2021.1910841
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