On a connection between Stein characterizations and Fisher information
  We generalize the so-called density approach to Stein characterizations of probability distributions. We prove an elementary factorization property of the resulting Stein operator in terms of a generalized (standardized) score function. We use this result to connect Stein characterizations with information distances such as the generalized (standardized) Fisher information. 
Christophe Ley and Yvik Swan
math.PR stat.OT