H. Airault, P. Malliavin, and F. G. Viens, Stokes formula on the Wiener space and n-dimensional Nourdin???Peccati analysis, Journal of Functional Analysis, vol.258, issue.5, 2009.
DOI : 10.1016/j.jfa.2009.07.005

A. D. Barbour, Asymptotic expansions based on smooth functions in the central limit theorem, Probability Theory and Related Fields, vol.2, issue.2, pp.289-303, 1986.
DOI : 10.1007/BF00699108

J. Breton, I. Nourdin, and G. Peccati, Exact confidence intervals for the Hurst parameter of a fractional Brownian motion, Electronic Journal of Statistics, vol.3, issue.0, pp.416-425, 2009.
DOI : 10.1214/09-EJS366

URL : https://hal.archives-ouvertes.fr/hal-00356718

P. Breuer and P. Major, Central limit theorems for non-linear functionals of Gaussian fields, Journal of Multivariate Analysis, vol.13, issue.3, pp.425-441, 1983.
DOI : 10.1016/0047-259X(83)90019-2

D. Chambers and E. Slud, Central limit theorems for nonlinear functionals of stationary Gaussian processes. Probab. Theory Rel, pp.323-349, 1989.

L. H. Chen and Q. Shao, Stein's method for normal approximation In: An Introduction to, Lecture Notes Series No, vol.4, pp.1-59, 2005.

R. Fox and M. S. Taqqu, Multiple stochastic integrals with dependent integrators, Journal of Multivariate Analysis, vol.21, issue.1, pp.105-127, 1987.
DOI : 10.1016/0047-259X(87)90101-1

URL : http://doi.org/10.1016/0047-259x(87)90101-1

L. Giraitis and D. Surgailis, CLT and other limit theorems for functionals of Gaussian processes, Zeitschrift f??r Wahrscheinlichkeitstheorie und verwandte Gebiete, vol.50, issue.2, pp.191-212, 1985.
DOI : 10.1007/BF02451428

S. Janson, Gaussian Hilbert Spaces, 1997.
DOI : 10.1017/CBO9780511526169

P. Malliavin, Stochastic Analysis, 1997.
DOI : 10.1007/978-3-642-15074-6

D. Marinucci, A Central Limit Theorem and Higher Order Results for the Angular Bispectrum. Probab. Theory Rel, pp.389-409, 2007.

I. Nourdin and G. Peccati, Noncentral convergence of multiple integrals, The Annals of Probability, vol.37, issue.4, pp.1412-1426, 2007.
DOI : 10.1214/08-AOP435

URL : https://hal.archives-ouvertes.fr/hal-00414691

I. Nourdin and G. Peccati, Stein's method on Wiener chaos. Probab. Theory Rel, pp.75-118, 2009.
DOI : 10.1007/s00440-008-0162-x

URL : http://arxiv.org/abs/0712.2940

I. Nourdin and G. Peccati, Stein???s method and exact Berry???Esseen asymptotics for functionals of Gaussian fields, The Annals of Probability, vol.37, issue.6, 2008.
DOI : 10.1214/09-AOP461

I. Nourdin and G. Peccati, Universal Gaussian fluctuations of non-Hermitian matrix ensembles, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00408877

I. Nourdin, G. Peccati, and G. Reinert, Second order Poincar?? inequalities and CLTs on Wiener space, Journal of Functional Analysis, vol.257, issue.2, pp.593-609, 2009.
DOI : 10.1016/j.jfa.2008.12.017

I. Nourdin, G. Peccati, and G. Reinert, Invariance principles for homogeneous sums: Universality of Gaussian Wiener chaos, The Annals of Probability, vol.38, issue.5, 2009.
DOI : 10.1214/10-AOP531

URL : https://hal.archives-ouvertes.fr/hal-00523525

I. Nourdin, G. Peccati, and A. Réveillac, Multivariate normal approximation using Stein???s method and Malliavin calculus, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.46, issue.1, 2008.
DOI : 10.1214/08-AIHP308

URL : http://arxiv.org/abs/0804.1889

I. Nourdin and F. G. Viens, Density estimates and concentration inequalities with Malliavin calculus, Electron. J. Probab, 2008.
DOI : 10.1214/ejp.v14-707

URL : https://hal.archives-ouvertes.fr/hal-00311755

D. Nualart, The Malliavin calculus and related topics of Probability and Its Applications, 2006.

D. Nualart and S. Ortiz-latorre, Central limit theorems for multiple stochastic integrals and Malliavin calculus, Stochastic Processes and their Applications, vol.118, issue.4, pp.614-628, 2008.
DOI : 10.1016/j.spa.2007.05.004

D. Nualart and G. Peccati, Central limit theorems for sequences of multiple stochastic integrals, The Annals of Probability, vol.33, issue.1, pp.177-193, 2005.
DOI : 10.1214/009117904000000621

G. Peccati and M. S. Taqqu, Moments, cumulants and diagram formulae for non-linear functionals of random measures (Survey) Preprint, 2008.

G. Peccati and C. A. Tudor, Gaussian limits for vector-valued multiple stochastic integrals. Séminaire de Probabilités XXXVIII, LNM 1857, pp.247-262, 2005.
DOI : 10.1007/978-3-540-31449-3_17

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.9.4335

G. Reinert, Three general approaches to Stein's method, Lecture Notes Series No, vol.4, pp.183-221, 2005.
DOI : 10.1142/9789812567680_0004

G. Rota and J. Shen, On the Combinatorics of Cumulants, Journal of Combinatorial Theory, Series A, vol.91, issue.1-2, pp.283-304, 2000.
DOI : 10.1006/jcta.1999.3017

V. Rotar, Stein's method, Edeworth's expansions and a formula of Barbour In: An Introduction to, Lecture Notes Series No, vol.4, pp.59-84, 2005.