Stochastic Comparisons of Lifetimes of Used Standby Systems

Mohamed Kayid () and Mashael A. Alshehri
Additional contact information
Mohamed Kayid: Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
Mashael A. Alshehri: Department of Quantitative Analysis, College of Business Administration, King Saud University, Riyadh 11362, Saudi Arabia

Mathematics, 2023, vol. 11, issue 14, 1-17

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; log-convex; lifetime (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/14/3042/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/14/3042/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:14:p:3042-:d:1190006

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().