Abstract
In this paper, we provide a mixture representation of the reliability function of the conditional inactivity time of a coherent system in terms of the reliability functions of conditional inactivity times of order statistics. Based on this representation, we then carry out stochastic comparisons between the conditional inactivity times of two coherent systems having either different structures or different component lifetimes. The results established here strengthen and extend some results known in the literature.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.