, Stein's method for diffusion approximations. Probability Theory and Related Fields, pp.297-322, 1990.
DOI : 10.1007/bf01197887
, On the dependence of the Berry???Esseen bound on dimension, Journal of Statistical Planning and Inference, vol.113, issue.2, pp.385-402, 2003.
DOI : 10.1016/S0378-3758(02)00094-0
, Estimates of the remainder term in the central limit theorem, Litovsk. Mat. Sb, vol.6, pp.323-346, 1966.
, Entropic approach to E. Rio???s central limit theorem for transport distance, Statistics & Probability Letters, vol.83, issue.7, pp.1644-1648, 2013.
DOI : 10.1016/j.spl.2013.03.020
, Berry?Esseen bounds and Edgeworth expansions in the central limit theorem for transport distances. Probability Theory and Related Fields, pp.229-262, 2018.
, Rates in the central limit theorem and diffusion approximation via Stein's method, 2015.
, Multivariate normal approximation using exchangeable pairs, Alea, vol.4, pp.257-283, 2008.
, Normal approximation by Stein's method, 2010.
, Central limit theorems and bootstrap in high dimensions. The Annals of Probability, pp.2309-2352, 2017.
DOI : 10.1920/wp.cem.2016.3916
URL : https://www.ifs.org.uk/uploads/cemmap/wps/cwp391616.pdf
, Existence of Stein kernels under a spectral gap, and discrepancy bound
, Stein kernels and moment maps, 2018.
, Rates of Convergence in Normal Approximation Under Moment Conditions Via New Bounds on Solutions of the Stein Equation, Journal of Theoretical Probability, vol.37, issue.1, pp.231-247, 2016.
DOI : 10.1214/09-AOP467
, On the rate of convergence in the multivariate CLT. The Annals of Probability, pp.724-739, 1991.
, Stein's method, logarithmic Sobolev and transport inequalities. Geometric and Functional Analysis, pp.256-306, 2015.
DOI : 10.1007/s00039-015-0312-0
URL : http://arxiv.org/pdf/1403.5855
, Integral Probability Metrics and Their Generating Classes of Functions, Advances in Applied Probability, vol.28, issue.02, pp.429-443, 1997.
DOI : 10.1017/S0001867800019613
, On nonuniform convergence rate estimates in the central limit theorem. Theory of Probability & Its Applications, pp.28-59, 2013.
, Normal approximations with Malliavin calculus: from Stein's method to universality, 2012.
DOI : 10.1017/CBO9781139084659
, A Multivariate CLT for Decomposable Random Vectors with Finite Second Moments, Journal of Theoretical Probability, vol.17, issue.3, pp.573-603, 2004.
DOI : 10.1023/B:JOTP.0000040290.44087.68
, Multivariate normal approximation with Stein's method of exchangeable pairs under a general linearity condition. The Annals of Probability, pp.2150-2173, 2009.
, Upper bounds for minimal distances in the central limit theorem, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, pp.802-817, 2009.
DOI : 10.1214/08-AIHP187
URL : https://hal.archives-ouvertes.fr/hal-00679848
, Asymptotic constants for minimal distance in the central limit theorem, Electronic Communications in Probability, vol.16, issue.0, pp.96-103, 2011.
DOI : 10.1214/ECP.v16-1609
URL : https://hal.archives-ouvertes.fr/hal-00679818
, A bound for the error in the normal approximation to the distribution of a sum of dependent random variables, Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, 1972.
, A CLT and tight lower bounds for estimating entropy, Electronic Colloquium on Computational Complexity (ECCC), 2010.
, Topics in Optimal Transportation. Number 58, 2003.
DOI : 10.1090/gsm/058
, A multivariate CLT in Wasserstein distance with near optimal convergence rate. Probability Theory and Related Fields
, Gallouët: Inria, Project team MOKAPLAN and Mathematics department
, Inria, Project team MOKAPLAN and Mathematics department
, Mathematics department