Testing an Exponential Delay Time Model Against an Intensity Proportional Repair Alert Model

Abstract

We consider an industrial system subject to different causes of failure and different types of maintenance: corrective maintenance or preventive maintenance. Many models of alternance between these types of maintenance have been written in a competing risks framework.

In this article, we introduce nonparametric tests with aim to decide between some of these models, more precisely between a Delay Time model with exponential distribution and an Intensity Proportional Repair Alert model. Two different types of tests are introduced and the asymptotic normality of their test statistics is proved.

Keywords:

• Asymptotic distribution
• Censoring
• Competing risks
• Corrective and Preventive Maintenance
• Delay time model
• Nonparametric test
• Intensity proportional repair alert model

Mathematics Subject Classifications:

• 62N05
• 62N03
• 62G10
• 62G20
• 62P30