>the class of models Stan fits is far more general. This is mostly true, but last time I checked, Stan still couldn't sample discrete variables like BUGS can.

>the class of models Stan fits is far more general. This is mostly true, but last time I checked, Stan still couldn't sample discrete variables like BUGS can. Stan can only fit models with discrete parameters (e.g. finite mixtures) if the programmer is smart enough to integrate them out.