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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,...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2019
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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. |
format | Online Article Text |
id | pubmed-7515253 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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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