Extensions of Stein's lemma for the skew-normal distribution, Communications in Statistics -Theory and Methods, vol.36, issue.9, pp.1661-1671, 2007. ,

Asset pricing and portfolio selection based on the multivariate extended skew-Student-t distribution, Annals of Operations Research, vol.176, issue.1, pp.221-234, 2010. ,

Mean-variance-skewness efficient surfaces, Stein's lemma and the multivariate extended skew-Student distribution, European Journal of Operational Research, vol.234, issue.2, pp.392-401, 2014. ,

Robust asymptotic tests for the equality of multivariate coefficients of variation, Test, vol.26, issue.1, pp.163-187, 2017. ,

A class of bivariate distributions including the bivariate logistic, Journal of Multivariate Analysis, vol.8, issue.3, pp.405-412, 1978. ,

On Stein's Method for Infinitely Divisible Laws with Finite First Moment, 2019. ,

Solution of Shannon's problem on the monotonicity of entropy, Journal of the American Mathematical Society, vol.17, issue.4, pp.975-982, 2004. ,

On the rate of convergence in the entropic central limit theorem. Probability Theory and Related Fields, vol.129, pp.381-390, 2004. ,

The multivariate skew-normal distribution ,

, Biometrika, vol.83, issue.4, pp.715-741, 1996.

Analysis and geometry of Markov diffusion operators, 2013. ,

URL : https://hal.archives-ouvertes.fr/hal-00929960

Entropy jumps in the presence of a spectral gap, Duke Mathematical Journal, vol.119, issue.1, pp.41-63, 2003. ,

URL : https://hal.archives-ouvertes.fr/hal-00693115

Stein's method for diffusion approximations. Probability Theory and Related Fields, vol.84, pp.297-322, 1990. ,

Stein's (magic) method, 2014. ,

Multivariate approximation in total variation, i: equilibrium distributions of markov jump processes, The Annals of Probability, vol.46, issue.3, pp.1351-1404, 2018. ,

Multivariate approximation in total variation, ii: Discrete normal approximation, The Annals of Probability, vol.46, issue.3, pp.1405-1440, 2018. ,

Rates in the central limit theorem and diffusion approximation via Stein's method, 2015. ,

On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation, Journal of Functional Analysis, vol.22, issue.4, pp.366-389, 1976. ,

Characterizations of distributions by variance bounds, Statistics & Probability Letters, vol.7, issue.5, pp.351-356, 1989. ,

On upper and lower bounds for the variance of a function of a random variable, The Annals of Probability, vol.10, issue.3, pp.799-809, 1982. ,

Another characterization of the normal distribution and a related proof of the central limit theorem, Teoriya Veroyatnostei i ee Primeneniya, vol.37, issue.4, pp.648-657, 1992. ,

Variational inequalities with examples and an application to the central limit theorem, The Annals of Probability, vol.22, issue.3, pp.1607-1618, 1994. ,

A short survey of Stein's method, Proceedings of the International Congress of Mathematiciansâ??Seoul, pp.1-24, 2014. ,

Multivariate normal approximation using exchangeable pairs, ALEA Latin American Journal of Probability and Mathematical Statistics, vol.4, pp.257-283, 2008. ,

Nonnormal approximation by Stein's method of exchangeable pairs with application to the Curie-Weiss model, The Annals of Applied Probability, vol.21, issue.2, pp.464-483, 2011. ,

Normal approximation by Stein's method. Probability and its Applications, 2011. ,

A kernel test of goodness of fit, International Conference on Machine Learning, pp.2606-2615, 2016. ,

Existence of Stein kernels under a spectral gap, and discrepancy bound, Annales de l'IHP: Probabilites et Statistiques, vol.55, pp.777-790, 2019. ,

Stein's method of exchangeable pairs for the beta distribution and generalizations, Electronic Journal of Probability, vol.20, issue.109, pp.1-34, 2015. ,

An iterative technique for bounding derivatives of solutions of Stein equations, Electronic Journal of Probability, vol.22, issue.96, pp.1-39, 2017. ,

Stein based goodness-of-fit tests, 2019. ,

, Distances between distributions via Stein's method, 2019.

First order covariance inequalities via Stein's method, 2019. ,

, On infinite covariance expansions, 2019.

Multivariate approximations in Wasserstein distance by Stein's method and Bismut's formula. Probability Theory and Related Fields, pp.1-35, 2018. ,

Stein kernels and moment maps, The Annals of Probability, vol.47, issue.4, pp.2172-2185, 2019. ,

URL : https://hal.archives-ouvertes.fr/hal-01968940

Regularity of solutions of the Stein equation and rates in the multivariate central limit theorem, 2018. ,

Dirichlet approximation of equilibrium distributions in Cannings models with mutation, Advances in Applied Probability, vol.49, issue.3, pp.927-959, 2017. ,

On choosing and bounding probability metrics. International Statistical Review, Revue Internationale de Statistique, vol.70, issue.3, pp.419-435, 2002. ,

On the rate of convergence in the multivariate clt, The Annals of Probability, vol.19, issue.2, pp.724-739, 1991. ,

Zero biasing in one and higher dimensions, and applications, vol.5, pp.1-18, 2005. ,

Stein's method and the zero bias transformation with application to simple random sampling, The Annals of Applied Probability, vol.7, issue.4, pp.935-952, 1997. ,

A multivariate generalization of the power exponential family of distributions, Communications in Statistics-Theory and Methods, vol.27, issue.3, pp.589-600, 1998. ,

, Measuring sample quality with diffusions, 2016.

Measuring sample quality with Stein's method, Advances in Neural Information Processing Systems, pp.226-234, 2015. ,

Measuring sample quality with kernels, International Conference on Machine Learning (ICML), pp.1292-1301, 2017. ,

Stein's method: expository lectures and applications, Persi Diaconis and Susan Holmes, vol.46, pp.93-132, 2004. ,

Quantifying the accuracy of approximate diffusions and Markov chains, Artificial Intelligence and Statistics, pp.382-391, 2017. ,

Information theory and the central limit theorem, 2004. ,

Stein's lemma for elliptical random vectors, Journal of Multivariate Analysis, vol.99, issue.5, pp.912-927, 2008. ,

A note on Stein's lemma for multivariate elliptical distributions, Journal of Statistical Planning and Inference, vol.143, issue.11, pp.2016-2022, 2013. ,

Some Stein-type inequalities for multivariate elliptical distributions and applications, Statistics & Probability Letters, vol.97, pp.54-62, 2015. ,

Stein's method, logarithmic Sobolev and transport inequalities. Geometric and Functional Analysis, vol.25, pp.256-306, 2015. ,

Stein's density approach and information inequalities, Electronic Communications in Probability, vol.18, issue.7, pp.1-14, 2013. ,

A general parametric Stein characterization, Statistics & Probability Letters, vol.111, pp.67-71, 2016. ,

Distances between nested densities and a measure of the impact of the prior in Bayesian statistics, Annals of Applied Probability, vol.27, issue.1, pp.216-241, 2017. ,

Stein's method for comparison of univariate distributions, Probability Surveys, vol.14, pp.1-52, 2017. ,

A kernelized Stein discrepancy for goodness-of-fit tests, International Conference on Machine Learning, pp.276-284, 2016. ,

Introduction to the theory of (non-symmetric) Dirichlet forms, 2012. ,

Multivariate Stein factors for a class of strongly logconcave distributions, Electronic Communications in Probability, vol.21, 2016. ,

An empirical goodness-of-fit test for multivariate distributions, Journal of Applied Statistics, vol.40, issue.5, pp.1120-1131, 2013. ,

Quantitative risk management: Concepts, techniques and tools, 2015. ,

Normal approximations with Malliavin calculus : from Stein's method to universality, Cambridge Tracts in Mathematics, 2012. ,

Density formula and concentration inequalities with Malliavin calculus, Electronic Journal of Probability, vol.14, pp.2287-2309, 2009. ,

URL : https://hal.archives-ouvertes.fr/hal-00437689

Entropy and the fourth moment phenomenon, Journal of Functional Analysis, vol.266, pp.3170-3207, 2014. ,

URL : https://hal.archives-ouvertes.fr/hal-00807589

Integration by parts and representation of information functionals, IEEE International Symposium on Information Theory (ISIT), pp.2217-2221, 2014. ,

URL : https://hal.archives-ouvertes.fr/hal-00920183

Control functionals for Monte Carlo integration, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.79, issue.3, pp.695-718, 2017. ,

URL : https://hal.archives-ouvertes.fr/hal-02391194

Posterior Integration on an Embedded Riemannian Manifold, 2017. ,

An optimal Poincaré inequality for convex domains. Archive for Rational Mechanics and Analysis, vol.5, pp.286-292, 1960. ,

Elliptical symmetry. Wiley StatsRef: Statistics Reference Online, 2014. ,

A multivariate CLT for decomposable random vectors with finite second moments, Journal of Theoretical Probability, vol.17, issue.3, pp.573-603, 2004. ,

Multivariate normal approximation with Stein's method of exchangeable pairs under a general linearity condition. The Annals of Probability, vol.37, pp.2150-2173, 2009. ,

Approximating stationary distributions of fast mixing Glauber dynamics, with applications to exponential random graphs, The Annals of Applied Probability, vol.29, issue.5, pp.3201-3230, 2019. ,

Fundamentals of Stein's method. Probability Surveys, vol.8, pp.210-293, 2011. ,

Weighted Poincaré inequalities, concentration inequalities and tail bounds related to the behavior of the Stein kernel in dimension one, 2018. ,

Log-concavity and strong log-concavity: a review, Statistics Surveys, vol.8, p.45, 2014. ,

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, vol.2, 1972. ,

Approximate computation of expectations, Institute of Mathematical Statistics Lecture Notes-Monograph Series, 7. Institute of Mathematical Statistics, 1986. ,

Use of exchangeable pairs in the analysis of simulations, Stein's method: expository lectures and applications, vol.46, pp.1-26, 2004. ,

A CLT and tight lower bounds for estimating entropy, Electronic Colloquium on Computational Complexity (ECCC), vol.17, 2010. ,

A Stein type lemma for the multivariate generalized hyperbolic distribution, European Journal of Operational Research, vol.261, issue.2, pp.606-612, 2017. ,

Probability metrics. Teoriya Veroyatnostei i ee Primeneniya, vol.28, pp.264-287, 1983. ,