Next Article in Journal
Quantum Thermodynamics in the Refined Weak Coupling Limit
Next Article in Special Issue
Measures of Entropy to Characterize Fatigue Damage in Metallic Materials
Previous Article in Journal
Coin.AI: A Proof-of-Useful-Work Scheme for Blockchain-Based Distributed Deep Learning
Previous Article in Special Issue
Thermodynamics of Fatigue: Degradation-Entropy Generation Methodology for System and Process Characterization and Failure Analysis
Article Menu
Issue 8 (August) cover image

Export Article

Open AccessArticle

A Copula Entropy Approach to Dependence Measurement for Multiple Degradation Processes

1
Science and Technology on Reliability and Environmental Engineering Laboratory, School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China
2
Beijing Aeronautical Science & Technology Research Institute, Commercial Aircraft Corporation of China Ltd., Beijing 102211, China
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(8), 724; https://doi.org/10.3390/e21080724
Received: 25 June 2019 / Revised: 19 July 2019 / Accepted: 23 July 2019 / Published: 25 July 2019
  |  
PDF [2901 KB, uploaded 26 July 2019]
  |  

Abstract

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. View Full-Text
Keywords: copula entropy; measure; dependence; multiple degradation processes copula entropy; measure; dependence; multiple degradation processes
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Sun, F.; Zhang, W.; Wang, N.; Zhang, W. A Copula Entropy Approach to Dependence Measurement for Multiple Degradation Processes. Entropy 2019, 21, 724.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top