The Stein-Dirichlet-Malliavin method
ESAIM. Proceedings, Tome 51 (2015), pp. 49-59
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The Stein’s method is a popular method used to derive upper-bounds of distances between probability distributions. It can be viewed, in certain of its formulations, as an avatar of the semi-group or of the smart-path method used commonly in Gaussian analysis. We show how this procedure can be enriched by Malliavin calculus leading to a functional approach valid in infinite dimensional spaces.
@article{EP_2015_51_a3,
author = {L. Decreusefond},
title = {The {Stein-Dirichlet-Malliavin} method},
journal = {ESAIM. Proceedings},
pages = {49--59},
year = {2015},
volume = {51},
doi = {10.1051/proc/201551003},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201551003/}
}
L. Decreusefond. The Stein-Dirichlet-Malliavin method. ESAIM. Proceedings, Tome 51 (2015), pp. 49-59. doi: 10.1051/proc/201551003
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