Article
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Stochastic Comparisons of Lifetimes of used Standby Systems
Version 1
: Received: 3 June 2023 / Approved: 5 June 2023 / Online: 5 June 2023 (09:42:54 CEST)
A peer-reviewed article of this Preprint also exists.
Kayid, M.; Alshehri, M.A. Stochastic Comparisons of Lifetimes of Used Standby Systems. Mathematics 2023, 11, 3042. Kayid, M.; Alshehri, M.A. Stochastic Comparisons of Lifetimes of Used Standby Systems. Mathematics 2023, 11, 3042.
Abstract
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.
Keywords
likelihood ratio order; usual stochastic order; cold-standby system; log-concave; logconvex; lifetime
Subject
Engineering, Industrial and Manufacturing Engineering
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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