加性珀克斯分布及其在可靠性分析中的应用

IF 2.3 2区工程技术 Q3 ENGINEERING, INDUSTRIAL

Quality Technology and Quantitative Management Pub Date : 2022-12-15 DOI:10.1080/16843703.2022.2148884

L. C. Méndez-González, L. A. Rodríguez-Picón, Ivan Juan Carlos Pérez Olguín, Vicente García, David Luviano-Cruz

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引用次数: 4

摘要

本文给出了可加性Perks分布（ADP）；这种分布描述了浴缸曲线的行为，这是可靠性分析中最根深蒂固的概念之一。所提出的分布是基于Perks分布的正风险率函数和负风险率函数的总和。ADP的统计特性包括中心趋势度量、矩、矩生成函数、统计顺序、剩余寿命、反向剩余寿命、Rényi熵、时变和寿命-应力关系模型。为了估计ADP参数，使用了最大似然法。另一方面，APD在三个案例研究中进行了测试，并与其他可以描述浴缸曲线中故障率的分布进行了比较。案例研究的结果表明，APD是以浴缸曲线形式描述故障次数的一个很好的选择。

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The additive Perks distribution and its applications in reliability analysis

ABSTRACT In this paper, the Additive Perks Distribution (ADP) is presented; this distribution describes the behavior of the bathtub curve, which is one of the most deeply rooted concepts in reliability analysis. The proposed distribution is based on the sum of the positive and negative hazard rate functions of the Perks distribution. ADP’s statistical properties include Measures of Central Tendency, moments, moment generating function, statistical order, residual lifetime, reversed residual lifetime, Rényi entropy, time-varying, and life-stress relationship modeling presented. For estimating the ADP parameters, the Maximum Likelihood Method is used. On the other hand, the APD is tested in three case studies and compared with other distributions that can describe the failure rates in a bathtub curve. The results from the case studies showed that the APD is a good choice for describing the failure times in the shape of a bathtub curve.

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来源期刊

Quality Technology and Quantitative Management ENGINEERING, INDUSTRIAL-OPERATIONS RESEARCH & MANAGEMENT SCIENCE

CiteScore

5.10

自引率

21.40%

发文量

审稿时长

>12 weeks

期刊介绍： Quality Technology and Quantitative Management is an international refereed journal publishing original work in quality, reliability, queuing service systems, applied statistics (including methodology, data analysis, simulation), and their applications in business and industrial management. The journal publishes both theoretical and applied research articles using statistical methods or presenting new results, which solve or have the potential to solve real-world management problems.