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Quantitative two-scale stabilization on the Poisson space
Raphael Lachieze-Rey, Giovanni Peccati, Xiaochuan Yang
Annals of applied probability: an official journal of the Institute of Mathematical Statistics, ISSN 1050-5164, Vol. 32, Nº. 4, 2022, págs. 3085-3145
Approximation of fractional local times: Zero energy and derivatives
Arturo Jaramillo, Ivan Nourdin, Giovanni Peccati
Annals of applied probability: an official journal of the Institute of Mathematical Statistics, ISSN 1050-5164, Vol. 31, Nº. 5, 2021, págs. 2143-2191
New Berry–Esseen bounds for functionals of binomial point processes.
Raphael Lachieze-Rey, Giovanni Peccati
Annals of applied probability: an official journal of the Institute of Mathematical Statistics, ISSN 1050-5164, Vol. 27, Nº. 4, 2017, págs. 1992-2031
The optimal fourth moment theorem
Ivan Nourdin, Giovanni Peccati
Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 143, Nº 7, 2015, págs. 3123-3133
Poisson approximations on the free Wigner chaos
Ivan Nourdin, Giovanni Peccati
Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 41, Nº. 4, 2013, págs. 2709-2723
Wigner chaos and the fourth moment
Todd Kemp, Ivan Nourdin, Giovanni Peccati, Roland Speicher
Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 40, Nº. 4, 2012, págs. 1577-1635
Invariance principles for homogeneous sums: Universality of Gaussian Wiener chaos.
Ivan Nourdin, Giovanni Peccati, Gesine Reinert
Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 38, Nº. 5, 2010, págs. 1947-1985
Stein's method and exact Berry-Esseen asumptotics for functionals of Gaussian fields.
Ivan Nourdin, Giovanni Peccati
Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 37, Nº. 6, 2009, págs. 2231-2261
Noncentral convergence of multimple integrals.
Ivan Nourdin, Giovanni Peccati
Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 37, Nº. 4, 2009, págs. 1412-1426
Hoeffding decompositions and urn sequences.
Omar El-Dakkak, Giovanni Peccati
Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 36, Nº. 6, 2008, págs. 2280-2310
Martingale structure of Skorohod integral processes
Giovanni Peccati, Michèle Thieullen, Ciprian A. Tudor
Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 34, Nº. 3, 2006, págs. 1217-1239
Hoeffding-ANOVA decompositions for symmetric statistics of exchangeable observations
Giovanni Peccati
Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 32, Nº. 3, 1, 2004, págs. 1796-1829
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