Stress-Strength Reliability Estimation of Time-Dependent Models with Fixed Stress and Phase Type Strength Distribution

Q3 Mathematics

Revista Colombiana De Estadistica Pub Date : 2021-01-15 DOI:10.15446/RCE.V44N1.86519

Joby K. Jose, M. Drisya

引用次数: 2

Abstract

The time-dependent stress-strength reliability models deal with systems whose strength or the stress imposed on it or both are time-dependent. In this paper, we consider time-dependent stress-strength reliability model which is subjected to constant stress and it causes a change in the strength of the system over each run of the system. Assuming a continuous phase- type distribution for the initial strength and exponential distribution for the duration of each run of the system called cycle time we derived the expression for the stress-strength reliability of the system at time t. The model is further extended to the cases where cycle time distribution is Gamma and Weibull. Simulation studies are conducted to assess the variations in stress-strength reliability, R(t) at diﬀerent time points, corresponding to the changes in the initial strength distribution and cycle time distribution.

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具有固定应力和相位型强度分布的时变模型的应力-强度可靠性估计

含时应力-强度可靠性模型处理的是强度或施加在其上的应力或两者都是含时的系统。在本文中，我们考虑了在恒定应力作用下的时变应力-强度可靠性模型，该模型在系统的每次运行中都会导致系统强度的变化。假设初始强度为连续相位型分布，系统每次运行的持续时间为指数分布，称为循环时间，我们导出了系统在时间t的应力强度可靠性表达式。该模型进一步扩展到循环时间分布为Gamma和Weibull的情况。进行模拟研究以评估不同时间点的应力强度可靠性R（t）的变化，对应于初始强度分布和循环时间分布的变化。

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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来源期刊

Revista Colombiana De Estadistica STATISTICS & PROBABILITY-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Colombian Journal of Statistics publishes original articles of theoretical, methodological and educational kind in any branch of Statistics. Purely theoretical papers should include illustration of the techniques presented with real data or at least simulation experiments in order to verify the usefulness of the contents presented. Informative articles of high quality methodologies or statistical techniques applied in different fields of knowledge are also considered. Only articles in English language are considered for publication. The Editorial Committee assumes that the works submitted for evaluation have not been previously published and are not being given simultaneously for publication elsewhere, and will not be without prior consent of the Committee, unless, as a result of the assessment, decides not publish in the journal. It is further assumed that when the authors deliver a document for publication in the Colombian Journal of Statistics, they know the above conditions and agree with them.