Abstract
The paper describes and develops two concepts of conditional residual lifetime of the system, given that at a fixed time a certain number of components have failed but still there are some functioning components, and conditional inactivity time of the failed components in the system, given that at that time a certain number of components have failed but the system is still alive. We consider the m-out-of-n and the coherent systems consisting of n components whose lifetimes are assumed to have an exchangeable joint distribution function. Some stochastic ordering results on the conditional residual lifetime and the conditional inactivity time are provided. Several illustrative examples are also given.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
