Hostname: page-component-848d4c4894-wg55d Total loading time: 0 Render date: 2024-06-02T03:59:30.177Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)