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A Copula Entropy Approach to Dependence Measurement for Multiple Degradation Processes
Fuqiang Sun1, Wendi Zhang1, Ning Wang2
1Science and Technology on Reliability and Environmental Engineering Laboratory, School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China.
Entropy (Basel, Switzerland)
|December 3, 2020
Summary
This study introduces a novel method using copula entropy to measure the dependence between multiple degradation processes in complex systems. This approach accurately quantifies feature interdependencies, crucial for reliable system modeling.
Area of Science:
- Reliability Engineering
- System Dynamics
- Statistical Modeling
Background:
- Degradation analysis is vital for complex system reliability.
- Multiple degradation features in systems often exhibit interdependencies.
- Ignoring these dependencies can lead to inaccurate reliability models.
Purpose of the Study:
- To develop a method for measuring dependence among multiple degradation processes.
- To address the challenge of modeling interdependent degradation features in complex systems.
- To enhance the accuracy of multivariate degradation modeling.
Main Methods:
- Utilized copula entropy, combining copula functions and information entropy theory.
- Copula functions were employed to identify complex dependence structures.
- Information entropy theory was used to quantify the degree of dependence.
Main Results:
- The proposed copula entropy method effectively measures dependence among degradation processes.
- An engineering case study validated the method's effectiveness.
- The results demonstrate the method's validity for multivariate degradation modeling.
Conclusions:
- Copula entropy provides a robust approach for quantifying interdependencies in degradation.
- Accurate measurement of feature dependence is essential for reliable system analysis.
- The proposed method improves the reliability modeling of complex systems.
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