Modelling zero-inflated count data when exposure varies: with an application to tumor counts

This paper is concerned with the analysis of zero-inflated count data when time of exposure varies. It proposes a modified zero-inflated count data model where the probability of an extra zero is derived from an underlying duration model with Weibull hazard rate. The new model is compared to the standard Poisson model with logit zero-inflation in an application to the effect of treatment with thiotepa on the number of new bladder tumors