I'm trying to fit a negative binomial regression model in Stan to estimate determinants of fertility. Unfortunately the dependent variable (number of children) is censored at a value of 8, therefore I'd like to take this into account. As explained in the reference manual this would be straight forward if the relevant variable was continous. But as far as I know Stan is unable to work with integer parameters, which would be necessary to follow the instructions of the manual for count data. So is there a way to deal with this?