Abstract: We inscribe Stein's density approach for discrete distributionsin a new, exible framework, hereby extending and unifying a large portionof the relevant literature.We use this to derive a Stein identity whose powerwe illustrate by obtaining a wide variety of so-called inequalities...

We inscribe Stein's density approach for discrete distributions in a new, flexible framework, hereby extending and unifying a large portion of the relevant literature. We use this to derive a Stein identity whose power we illustrate by obtaining a wide variety of so-called inequalities between...