HR and RHR orderings of generalized order statistics

Maryam Esna-Ashari (), Narayanaswamy Balakrishnan and Mahdi Alimohammadi
Additional contact information
Maryam Esna-Ashari: Insurance Research Center
Narayanaswamy Balakrishnan: McMaster University
Mahdi Alimohammadi: Alzahra University

Metrika: International Journal for Theoretical and Applied Statistics, 2023, vol. 86, issue 1, No 6, 148 pages

Abstract: 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.

Keywords: Stochastic orderings; Sequential systems; Record values (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00184-022-00865-2

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