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HR and RHR orderings of generalized order statistics

Author

Listed:
  • Maryam Esna-Ashari

    (Insurance Research Center)

  • Narayanaswamy Balakrishnan

    (McMaster University)

  • Mahdi Alimohammadi

    (Alzahra University)

Abstract

In this article, we compare generalized order statistics in terms of increasing convex, mean residual life, hazard rate and reversed hazard rate orderings and establish some general results, including resolving an open problem. Some counterexamples are also provided for the cases wherein the results are not valid in general. Finally, some new applications of these results are demonstrated for sequential systems, k-record values and Pfeifer’s records.

Suggested Citation

  • Maryam Esna-Ashari & Narayanaswamy Balakrishnan & Mahdi Alimohammadi, 2023. "HR and RHR orderings of generalized order statistics," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 86(1), pages 131-148, January.
    • Handle: RePEc:spr:metrik:v:86:y:2023:i:1:d:10.1007_s00184-022-00865-2
    DOI: 10.1007/s00184-022-00865-2
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    References listed on IDEAS

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