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ON THE BEHAVIORS OF THE PERCENTILE RESIDUAL LIFE FOR COMPONENTS AND FOR K-OUT-OF-N SYSTEMS

Published online by Cambridge University Press:  20 January 2015

Yan Shen  and
Zhisheng Ye
Yan Shen
Affiliation:
Department of Statistics, School of Economics, Xiamen University, Fujian, China E-mail: sheny@xmu.edu.cn
Zhisheng Ye
Affiliation:
Department of Industrial and Systems Engineering, National University of Singapore, Singapore E-mail: yez@nus.edu.sg
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Abstract

This paper investigates properties of the percentile residual life (PRL) function for a single component and for a k-out-of-n system. The shape of the component PRL function can be determined by the component failure rate function. The intimate relations between these two functions are studied first. Then we generalize the results to a k-out-of-n system by assuming independent and identical components. We show that the behavior of the PRL for a k-out-of-n system is quite different from the component PRL. We also find that for series and parallel systems, the location of the change point of the PRL is monotone in the number of components in a system.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 29 , Issue 2 , April 2015 , pp. 291 - 308
Copyright
Copyright © Cambridge University Press 2015 

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