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...

This article deals with Stein characterizations of probability distributions. We provide a general framework for interpreting these in terms of the parameters of the underlying distribution. In order to do so we introduce two concepts (a class of functions and an operator) which generalize those...