Cox's Regression Model for Counting Processes: A Large Sample Study
The Cox regression model for censored survival data specifies that covariates have a proportional effect on the hazard function of the life-time distribution of an individual. In this paper we discuss how this model can be extended to a model where covariate processes have a proportional effect on the intensity process of a multivariate counting process. This permits a statistical regression analysis of the intensity of a recurrent event allowing for complicated censoring patterns and time dependent covariates. Furthermore, this formulation gives rise to proofs with very simple structure using martingale techniques for the asymptotic properties of the estimators from such a model. Finally an example of a statistical analysis is included.
Permanent link to this document: http://projecteuclid.org/euclid.aos/1176345976
Digital Object Identifier: doi:10.1214/aos/1176345976
Mathematical Reviews number (MathSciNet): MR673646
Zentralblatt MATH identifier: 0526.62026