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Journal of Applied Probability Journal of Applied Probability

Article contents

Conditional Ordering of k-out-of-n Systems with Independent But Nonidentical Components

Part of: Special processes Distribution theory - Probability

Published online by Cambridge University Press:  14 July 2016

Peng Zhao ,
Xiaohu Li  and
N. Balakrishnan
Peng Zhao
Affiliation:
Lanzhou University
Xiaohu Li
Affiliation:
Lanzhou University
N. Balakrishnan
Affiliation:
McMaster University
Corresponding
E-mail address:
zhaop07@gmail.com
xhli@lzu.edu.cn
bala@mcmaster.ca
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Abstract

By considering k-out-of-n systems with independent and nonidentically distributed components, we discuss stochastic monotone properties of the residual life and the inactivity time. We then present some stochastic comparisons of two systems based on the residual life and inactivity time.

Keywords

Hazard rate order inactivity time likelihood ratio order residual life reversed hazard rate order stochastic order

MSC classification

Secondary: 60E15: Inequalities; stochastic orderings 60K10: Applications (reliability, demand theory, etc.)
Type
Research Article
Information
Journal of Applied Probability , Volume 45 , Issue 4 , December 2008 , pp. 1113 - 1125
Copyright
Copyright © Applied Probability Trust 2008 

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