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A Copula Entropy Approach to Dependence Measurement for Multiple Degradation Processes

Degradation analysis has been widely used in reliability modeling problems of complex systems. A system with complex structure and various functions may have multiple degradation features, and any of them may be a cause of product failure. Typically, these features are not independent of each other,...

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Detalles Bibliográficos
Autores principales: Sun, Fuqiang, Zhang, Wendi, Wang, Ning, Zhang, Wei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7515253/
https://www.ncbi.nlm.nih.gov/pubmed/33267438
http://dx.doi.org/10.3390/e21080724
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author Sun, Fuqiang
Zhang, Wendi
Wang, Ning
Zhang, Wei
author_facet Sun, Fuqiang
Zhang, Wendi
Wang, Ning
Zhang, Wei
author_sort Sun, Fuqiang
collection PubMed
description Degradation analysis has been widely used in reliability modeling problems of complex systems. A system with complex structure and various functions may have multiple degradation features, and any of them may be a cause of product failure. Typically, these features are not independent of each other, and the dependence of multiple degradation processes in a system cannot be ignored. Therefore, the premise of multivariate degradation modeling is to capture and measure the dependence among multiple features. To address this problem, this paper adopts copula entropy, which is a combination of the copula function and information entropy theory, to measure the dependence among different degradation processes. The copula function was employed to identify the complex dependence structure of performance features, and information entropy theory was used to quantify the degree of dependence. An engineering case was utilized to illustrate the effectiveness of the proposed method. The results show that this method is valid for the dependence measurement of multiple degradation processes.
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spelling pubmed-75152532020-11-09 A Copula Entropy Approach to Dependence Measurement for Multiple Degradation Processes Sun, Fuqiang Zhang, Wendi Wang, Ning Zhang, Wei Entropy (Basel) Article Degradation analysis has been widely used in reliability modeling problems of complex systems. A system with complex structure and various functions may have multiple degradation features, and any of them may be a cause of product failure. Typically, these features are not independent of each other, and the dependence of multiple degradation processes in a system cannot be ignored. Therefore, the premise of multivariate degradation modeling is to capture and measure the dependence among multiple features. To address this problem, this paper adopts copula entropy, which is a combination of the copula function and information entropy theory, to measure the dependence among different degradation processes. The copula function was employed to identify the complex dependence structure of performance features, and information entropy theory was used to quantify the degree of dependence. An engineering case was utilized to illustrate the effectiveness of the proposed method. The results show that this method is valid for the dependence measurement of multiple degradation processes. MDPI 2019-07-25 /pmc/articles/PMC7515253/ /pubmed/33267438 http://dx.doi.org/10.3390/e21080724 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Sun, Fuqiang
Zhang, Wendi
Wang, Ning
Zhang, Wei
A Copula Entropy Approach to Dependence Measurement for Multiple Degradation Processes
title A Copula Entropy Approach to Dependence Measurement for Multiple Degradation Processes
title_full A Copula Entropy Approach to Dependence Measurement for Multiple Degradation Processes
title_fullStr A Copula Entropy Approach to Dependence Measurement for Multiple Degradation Processes
title_full_unstemmed A Copula Entropy Approach to Dependence Measurement for Multiple Degradation Processes
title_short A Copula Entropy Approach to Dependence Measurement for Multiple Degradation Processes
title_sort copula entropy approach to dependence measurement for multiple degradation processes
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7515253/
https://www.ncbi.nlm.nih.gov/pubmed/33267438
http://dx.doi.org/10.3390/e21080724
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