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

Part of: Distribution theory - Probability Special processes

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
*
∗Postal address: School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China.
∗Postal address: School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China.
∗∗∗∗Postal address: Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1. Email address: [email protected]
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Abstract

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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 orderinactivity timelikelihood ratio orderresidual lifereversed hazard rate orderstochastic 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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