通过扭曲分布保留相对危险率和相对反向危险率阶次

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED Acta Applicandae Mathematicae Pub Date : 2024-12-13 DOI:10.1007/s10440-024-00704-8

Mohamed Kayid, Raghad A. Almohsen

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引用次数: 0

摘要

本文建立了扭曲分布下相对老化序的保存性质。考虑了相对危险率顺序和相对反向危险率顺序。利用推导出的结果，得到了Misra和Francis （Stat. Probab.）先前推导出的相对危险率顺序的保存性质和相对反向危险率顺序的保存性质。Lett. 106:272 - 280,2015)，分别加强了并联和串联系统。文中还举例说明了所得结果的适用性。

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Preservation of Relative Hazard Rate and Relative Reversed Hazard Rate Orders by Distorted Distributions

In this paper, we establish preservation properties of relative aging orders under distorted distributions. The relative hazard rate order and the relative reversed hazard rate order are considered. Using the derived results, a preservation property of the relative hazard rate order and a preservation property of the relative reversed hazard rate order derived perviously by Misra and Francis (Stat. Probab. Lett. 106:272–280, 2015) for, respectively, parallel and series systems are strengthened. Examples are also presented to illustrate the applicability of the obtained results.

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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.