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Inequalities: Theory of Majorization and Its Applications
- Publisher
- Wiley
- Copyright
- "© 2019 John Wiley & Sons, Ltd."
- ISSN
- 1524-1904
- eISSN
- 1526-4025
- DOI
- 10.1002/asmb.2349
- Publisher site
- See Article on Publisher Site
Abstract
In practical situations, systems often suffer shocks from external stressing environments, stressing the system at random. These random shocks may have non‐ignorable effects on the system's reliability. In this paper, we provide sufficient (and necessary) conditions on components' lifetimes and their surviving probabilities from random shocks for comparing the lifetimes of two fail‐safe systems by means of the usual stochastic, hazard rate, and likelihood ratio orderings. Numerical examples are presented to highlight these theoretical results as well.
Journal
Applied Stochastic Models in Business and Industry – Wiley
Published: May 1, 2019
Keywords: ; ; ; ;