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COMPARISONS OF SERIES AND PARALLEL SYSTEMS WITH HETEROGENEOUS COMPONENTS

Published online by Cambridge University Press:  19 November 2013

Weiyong Ding ,
Gaofeng Da  and
Xiaohu Li
Weiyong Ding
Affiliation:
College of Science, Hebei United University, Tangshan 063009, China
Gaofeng Da
Affiliation:
Department of Statistics and Finance, University of Science and Technology of China, Hefei 230026, China
Xiaohu Li
Affiliation:
School of Mathematical Sciences, Xiamen University, Xiamen 361005, China. E-mail: dagf@ustc.edu.cn
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Abstract

This paper carries out stochastic comparisons of series and parallel systems with independent and heterogeneous components in the sense of the hazard rate order, the reversed hazard rate order, and the likelihood ratio order. The main results extend and strengthen the corresponding ones by Misra and Misra [18] and by Ding, Zhang, and Zhao [8]. Meanwhile, the results on the hazard rate order of parallel systems and the reversed hazard order of series systems serve as nice supplements to Theorem 16.B.1 of Boland and Proschan [4] and Theorem 3.2 of Nanda and Shaked [20], respectively.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 28 , Issue 1 , January 2014 , pp. 39 - 53
Copyright
Copyright © Cambridge University Press 2013 

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