  In this paper, we introduce a generalized model for count data based upon an
assumed Weibull interarrival process that nests the Poisson and negative
binomial models as special cases. In addition, we demonstrate that this new
Weibull count model can model both over and underdispersed count data, allow
covariates to be introduced in a straightforward manner through the hazard
function, and be computed in standard software.
