Normal approximations with Malliavin calculus: from Stein's method to universality I Nourdin, G Peccati Cambridge University Press, 2012 | 915 | 2012 |
Central limit theorems for sequences of multiple stochastic integrals D Nualart, G Peccati | 486 | 2005 |
Stein’s method on Wiener chaos I Nourdin, G Peccati Probability Theory and Related Fields 145, 75-118, 2009 | 448 | 2009 |
Random fields on the sphere: representation, limit theorems and cosmological applications D Marinucci, G Peccati Cambridge University Press, 2011 | 392 | 2011 |
Wiener Chaos: Moments, Cumulants and Diagrams: A survey with computer implementation G Peccati, MS Taqqu Springer Science & Business Media, 2011 | 338 | 2011 |
Gaussian limits for vector-valued multiple stochastic integrals G Peccati, CA Tudor Séminaire de Probabilités XXXVIII, 247-262, 2005 | 301 | 2005 |
Stein’s method and normal approximation of Poisson functionals G Peccati, JL Solé, MS Taqqu, F Utzet | 171 | 2010 |
Multivariate normal approximation using Stein's method and Malliavin calculus I Nourdin, G Peccati, A Réveillac Annales de l'IHP Probabilités et statistiques 46 (1), 45-58, 2010 | 164 | 2010 |
Normal approximation on Poisson spaces: Mehler’s formula, second order Poincaré inequalities and stabilization G Last, G Peccati, M Schulte Probability theory and related fields 165, 667-723, 2016 | 134 | 2016 |
Invariance principles for homogeneous sums: universality of Gaussian Wiener chaos I Nourdin, G Peccati, G Reinert | 126 | 2010 |
Stein’s method, logarithmic Sobolev and transport inequalities M Ledoux, I Nourdin, G Peccati Geometric and Functional Analysis 25, 256-306, 2015 | 120 | 2015 |
Stein’s method and exact Berry–Esseen asymptotics for functionals of Gaussian fields I Nourdin, G Peccati | 111 | 2009 |
Noncentral convergence of multiple integrals I Nourdin, G Peccati | 106 | 2009 |
The optimal fourth moment theorem I Nourdin, G Peccati Proceedings of the American Mathematical Society 143 (7), 3123-3133, 2015 | 92 | 2015 |
Non-universality of nodal length distribution for arithmetic random waves D Marinucci, G Peccati, M Rossi, I Wigman Geometric and Functional Analysis 26, 926-960, 2016 | 91 | 2016 |
Multi-dimensional Gaussian fluctuations on the Poisson space P Giovanni, C Zheng | 91 | 2010 |
Second order Poincaré inequalities and CLTs on Wiener space I Nourdin, G Peccati, G Reinert Journal of Functional Analysis 257 (2), 593-609, 2009 | 89 | 2009 |
Wigner chaos and the fourth moment T Kemp, I Nourdin, G Peccati, R Speicher | 82 | 2012 |
Wiener chaos: moments, cumulants and diagrams, volume 1 of Bocconi & Springer Series G Peccati, MS Taqqu Springer, Milan, 2011 | 79 | 2011 |
Nodal statistics of planar random waves I Nourdin, G Peccati, M Rossi Communications in Mathematical Physics 369, 99-151, 2019 | 74 | 2019 |