Remaining useful life prediction of binary stochastic degradation equipment based on mixed Copula functions

In view of the problem of distorted characterization of correlated performance features in the existing RUL prediction methods for degrading equipment based on multivariate correlation characteristics, which is caused by relying on a single Copula function to model the relationships among multiple degradation features, this paper proposes an RUL prediction method based on a mixed Copula function.First, a stochastic degradation model considering multiple degradation modes is established based on the Wiener process. Second, a mixed Copula function formed by a linear combination of Gumbel, Clayton, and Frank Copulas is constructed to characterize the complex correlations among degradation features. Furthermore, the step - by - step maximum likelihood method is used to estimate the parameters in the model. Finally, the effectiveness of the proposed method is verified through simulated degradation datasets, degradation data of LED lighting systems, and metal crack degradation data.