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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

Taizhong Hu  and
Fangyi He
Taizhong Hu
Affiliation:
Department of Statistics and Finance, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China, E-mail: thu@ustc.edu.cn;fyhe@mail.ustc.edu.cn
Fangyi He
Affiliation:
Department of Statistics and Finance, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China, E-mail: thu@ustc.edu.cn;fyhe@mail.ustc.edu.cn
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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

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