Christophe Ley, Yvik Swan
Published 2011-11-09Version 1
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.
The Liouville theorem for a class of Fourier multipliers and its connection to coupling
Monotonicity equivalence and synchronizability for a system of probability distributions
The $Δ_2$-condition and $\varphi$-families of probability distributions
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