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On ordered system signature and its dynamic version for coherent systems with applications

Part of: Nonparametric inference Survival analysis and censored data Operations research and management science

Published online by Cambridge University Press:  28 February 2023

He Yi ,
Narayanaswamy Balakrishnan  and
Xiang Li
He Yi*
Affiliation:
Beijing University of Chemical Technology
Narayanaswamy Balakrishnan*
Affiliation:
McMaster University
Xiang Li*
Affiliation:
Beijing University of Chemical Technology
*
*Postal address: School of Economics and Management, Beijing University of Chemical Technology, North Third Ring Road 15, Chaoyang District, 100029, Beijing, China.
***Postal address: Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario, L8S 4K1, Canada.
*Postal address: School of Economics and Management, Beijing University of Chemical Technology, North Third Ring Road 15, Chaoyang District, 100029, Beijing, China.
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Abstract

The notion of ordered system signature, originally defined for independent and identical coherent systems, is first extended to the case of independent and non-identical coherent systems, and then some key properties that help simplify its computation are established. Through its use, a dynamic ordered system signature is defined next, which facilitates a systematic study of dynamic properties of several coherent systems under a life test. The theoretical results established here are then illustrated through some specific examples. Finally, the usefulness in the evaluation of aging used systems of the concepts introduced is demonstrated.

Keywords

Ordered system signaturecoherent systemdynamic ordered system signatureused systemagingstochastic ordering

MSC classification

Primary: 62N05: Reliability and life testing
Secondary: 90B25: Reliability, availability, maintenance, inspection 62G30: Order statistics; empirical distribution functions
Type
Original Article
Information
Journal of Applied Probability , Volume 60 , Issue 3 , September 2023 , pp. 982 - 1002
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of Applied Probability Trust

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