Article contents
A NOTE ON COMPARISONS OF k-OUT-OF-n SYSTEMS WITH RESPECT TO THE HAZARD AND REVERSED HAZARD RATE ORDERS
Published online by Cambridge University Press: 01 January 2000
Abstract
Let τk|n denote the lifetime of a k-out-of-n system constructed by using n components with independent (not necessarily identically distributed) lifetimes. It is shown that τk|n is smaller than τk−1|n−1 in the hazard rate order for any k and that τk|n−1 is smaller than τk|n in the reversed hazard rate order for any k. We thus strengthen and complement some results in Boland et al. [2] and Block et al. [1].
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 14 , Issue 1 , January 2000 , pp. 27 - 32
- Copyright
- © 2000 Cambridge University Press
- 5
- Cited by