HR and RHR orderings of generalized order statistics

被引：8

作者：

Esna-Ashari, Maryam ^{[1
]}

Balakrishnan, Narayanaswamy ^{[2
]}

Alimohammadi, Mahdi ^{[3
]}

机构：

[1] Insurance Res Ctr, Tehran, Iran

[2] McMaster Univ, Dept Math & Stat, Hamilton, ON, Canada

[3] Alzahra Univ, Fac Math Sci, Dept Stat, Tehran, Iran

来源：

METRIKA | 2023年 / 86卷 / 01期

关键词：

Stochastic orderings; Sequential systems; Record values; STOCHASTIC COMPARISONS; UNIMODALITY; SYSTEMS;

D O I：

10.1007/s00184-022-00865-2

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

收藏

页码：131 / 148

页数：18

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