On dispersive and star orderings of random variables and order statistics

Mahdi Alimohammadi, Maryam Esna-Ashari and Erhard Cramer

Statistics & Probability Letters, 2021, vol. 170, issue C

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.

Keywords: Stochastic orderings; Generalized order statistics; Upper and lower record values; Hazard rate; Reversed hazard rate; Logconvexity (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2020.109014

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