On the linear degradation model with multiple failure modes

Abstract

The purpose of this work is to develop statistical methods for using degradation measure to estimate a survival function for a linear degradation model. In this paper, we review existing methods and then describe a parametric approach. We focus on estimating the survival function. A simulation study is conducted to evaluate the performance of the estimating method and the method is illustrated using real data.

Keywords:

• degradation model
• failure time
• intensity function
• survival function
• parametric method

Acknowledgements

The authors express their sincere thanks to two anonymous referees for their constructive criticisms and useful suggestions which led to a considerable improvement in the presentation and explanations in this paper. The authors are especially thankful to Dr. Simchi for his help. The first author also wishes to thank the University of Tehran for providing support for this research.