Degradation Analysis of Multivariate Inverse Gaussian Process with Random Effects  
Author Yi-Fu Wang

 

Co-Author(s) Tzu-Erh Huang

 

Abstract For high-reliability products, collecting sufficient failure data within a limited time is often challenging. To address this, degradation analysis is commonly employed to evaluate a product’s quality characteristic to estimate the product lifetime. However, with the advancements in technologies, analyzing a single quality characteristic for degradation is no longer sufficient. This makes the analysis of multiple quality characteristics necessary. In this study, we propose a method that incorporates a common dependent framework with the inverse Gaussian process to address multivariate quality characteristics. By utilizing a conjugate conditional random effect within the inverse Gaussian process, we develop the Multivariate Inverse Gaussian Process with Random Effects (MIGP) model. This model effectively captures both the heterogeneity among samples and the correlations among quality characteristics. Finally, a case study was conducted to validate the proposed multivariate degradation model.

 

Keywords Degradation analysis, multivariate quality characteristics, inverse Gaussian process, random effect
   
    Article #:  RQD2025-39
 

Proceedings of 30th ISSAT International Conference on Reliability & Quality in Design
August 6-8, 2025