Research on Reliability Modeling of Bivariate Correlation Degradation Based on Nonlinear Wiener Process

Abstract

The performance of a product tends to degrade gradually with the use process, thus affecting its service life. Therefore, the research on the degradation process is helpful to grasp the residual life of products. Based on nonlinear Wiener process, the paper conducts a bivariate correlation degradation reliability modeling research. Firstly, the overall and partial correlations between two degenerate variables are calculated using the cosine similarity measure. Then, according to the calculation results and the characteristics of each copula function, select the appropriate copula function. Finally, a bivariate degradation model based on nonlinear Wiener process is established. Through the example analysis, the degradation fitting curve and degradation test results of bivariate degraded products are obtained by using the model, which has a good fitting degree and verifies the effectiveness of the model.