Stochastic Comparisons of Lifetimes of Used Standby Systems

被引：2

作者：

Kayid, Mohamed ^{[1
]}

Alshehri, Mashael A. ^{[2
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh 11451, Saudi Arabia

[2] King Saud Univ, Coll Business Adm, Dept Quantitat Anal, Riyadh 11362, Saudi Arabia

来源：

MATHEMATICS | 2023年 / 11卷 / 14期

关键词：

likelihood ratio order; usual stochastic order; cold standby system; log-concave; log-convex; lifetime; MEAN RESIDUAL LIFE; RELIABILITY-ANALYSIS; CONVOLUTIONS; OPTIMIZATION; REDUNDANCY; PRESERVATION; ORDER;

D O I：

10.3390/math11143042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we first establish upper stochastic bounds on the lifetime of a used cold standby system with arbitrary age, using the likelihood ratio order and the usual stochastic order. Then, stochastic comparisons are made between the lifetime of a used cold standby system with age t and the lifetime of a cold standby system consisting of used components with age t using the likelihood ratio order and the usual stochastic order. We use illustrative examples to explore the results presented.

引用

页数：17

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