查看文章

The counting process with the Cox‐type intensity function has been commonly used to analyse recurrent event data. This model essentially assumes that the underlying counting process is a time‐transformed Poisson process and that the covariates have multiplicative effects on the mean and rate function of the counting process. Recently, Pepe and Cai, and Lawless and co‐workers have proposed semiparametric procedures for making inferences about the mean and rate function of the counting process without the Poisson‐type assumption. In this paper, we provide a rigorous justification of such robust procedures through modern empirical process theory. Furthermore, we present an approach to constructing simultaneous confidence bands for the mean function and describe a class of graphical and numerical techniques for checking the adequacy of the fitted mean–rate model. The advantages of the robust …