Parametric Degradation Model with Multiple Competing Risks

Abstract

The paper considers a particular degradation and failure time model with multiple failure modes. It provides a review of the nonparametric estimator of survival function in a specific statistical degradation model, studied by Bagdonavicius et al. [2], and also proposes the parametric estimator of survival function supposing the dependency of traumatic failure intensities on the degradation level. In addition, real tire wear and failure time data are analyzed and the comparison of both parametric and nonparametric methods according to the simulation is discussed.

Key Words:

• Degradation models
• failure times
• intensity function
• nonparametric and parametric estimation
• survival function

Additional information

Notes on contributors

F. Haghighi

Firoozeh Haghighi is Assistant Professor at university of Tehran, Tehran, Iran. She has done Ph.D. in statistics in 2005 from university of Victor Segalen, France. Her research interests include Reliability and Survival Analysis.

N. Nazeri Rad

Narges Nazeri Rad is a Ph.D. student in Statistics at University of Waterloo, who is working under supervision of Professor Jerry Lawless.