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On dispersive and star orderings of random variables and order statistics

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  • Alimohammadi, Mahdi
  • Esna-Ashari, Maryam
  • Cramer, Erhard

Abstract

We prove that some results claimed for the dispersive ordering are not valid and provide some contributions in this direction. Then, we revisit the dispersive ordering of order statistics from IRHR distributions. Several extensions to generalized order statistics are obtained.

Suggested Citation

  • Alimohammadi, Mahdi & Esna-Ashari, Maryam & Cramer, Erhard, 2021. "On dispersive and star orderings of random variables and order statistics," Statistics & Probability Letters, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:stapro:v:170:y:2021:i:c:s0167715220303175
    DOI: 10.1016/j.spl.2020.109014
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    1. 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.

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