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HR and RHR orderings of generalized order statistics
Metrika ( IF 0.7 ) Pub Date : 2022-05-23 , DOI: 10.1007/s00184-022-00865-2
Maryam Esna-Ashari, Narayanaswamy Balakrishnan, Mahdi Alimohammadi

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.



中文翻译:

广义订单统计的 HR 和 RHR 排序

在本文中,我们比较广义顺序统计量的增加凸、平均剩余寿命、危险率和反向危险率排序,并建立一些一般结果,包括解决一个开放问题。对于结果一般无效的情况,还提供了一些反例。最后,针对顺序系统、 k记录值和 Pfeifer 记录证明了这些结果的一些新应用。

更新日期:2022-05-24
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