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On the multi-state signatures of ordered system lifetimes

Part of: Nonparametric inference Operations research and management science Special processes

Published online by Cambridge University Press:  29 April 2020

He Yi ,
Narayanaswamy Balakrishnan  and
Lirong Cui
He Yi*
Affiliation:
Beijing University of Chemical Technology
Narayanaswamy Balakrishnan*
Affiliation:
McMaster University
Lirong Cui*
Affiliation:
Beijing Institute of Technology
*
*Postal address: School of Economics & Management, Beijing University of Chemical Technology, Beijing, 100029, China. Email address: yihe_buct@163.com
**Postal address: Department of Mathematics & Statistics, McMaster University, Hamilton, Ontario, L8S 4K1, Canada.
***Postal address: School of Management & Economics, Beijing Institute of Technology, Beijing, 100081, China.
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Abstract

In this paper, the signature of a multi-state coherent system with binary-state components is discussed, and then it is extended to the case of ordered system lifetimes arising from a life-test on coherent multi-state systems with the same multi-state system signature. Some properties of the multi-state system signature and the ordered multi-state system signature are also studied. The results established here are finally explained through some illustrative examples.

Keywords

Multi-state coherent systemmulti-state system signatureordered system lifetimesordered multi-state system signature

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Secondary: 90B25: Reliability, availability, maintenance, inspection 62G30: Order statistics; empirical distribution functions
Type
Original Article
Information
Advances in Applied Probability , Volume 52 , Issue 1 , March 2020 , pp. 291 - 318
Copyright
© Applied Probability Trust 2020

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