随机量子反向老化强度函数的随机方面

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-09-11 DOI:10.1186/s13660-024-03198-y

Mohamed Kayid, Mashael A. Alshehri

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引用次数: 0

摘要

本文根据新定义的可靠性度量--反向老化强度函数--研究了随机量值的一些随机性质。本文得到了随机量子点下反向老化强度阶的保留性质，并利用它推导出了随机量子点的反向老化强度函数的下界和上界。我们还研究了两个相关的单调可靠性等级在随机量值下的保持性。最后，我们将结果应用于具有异质元件寿命的系列系统的可靠性分析。我们还列举了一些实例来检验和分析所获得的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stochastic aspects of reversed aging intensity function of random quantiles

This paper studies some stochastic properties of random quantiles according to the newly defined reliability measure called reversed aging intensity function. Preservation property of reversed aging intensity order under random quantile is obtained and using it, a lower bound and an upper bound for the reversed aging intensity function of a random quantile are derived. Preservation of two related monotonic reliability classes under random quantiles is also studied. We finally apply our results for reliability analysis of series systems with heterogeneous component lifetimes. Examples are included to examine and analyze the obtained results.

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来源期刊

Journal of Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.