School of Finance and Statistics, East China Normal University; Department of Mathematics, Shanxi Datong University; College of Mathematics and Computer Science, Huanggang Normal University

In many biomedical and engineering
studies, recurrent event data and gap times between successive
events are common and often more than one type of recurrent events
is of interest. It is well known that the proportional hazards model
may not be appropriate for fitting survival times in some settings.
In the paper, we consider an additive hazards model for multiple
type recurrent gap times data to assess the effect of covariates.
For inferences about regression coefficients and baseline cumulative
hazard functions, an estimating equation approach is developed.
Furthermore, we establish asymptotic properties of the proposed
estimators.