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math.PR2018
Fourth moment theorems on the Poisson space: analytic statements via product formulae
Christian Döbler, Giovanni Peccati
We prove necessary and sufficient conditions for the asymptotic normality of multiple integrals with respect to a Poisson measure on a general measure space, expressed both in term…
math.PR2018
Quantitative CLTs for symmetric -statistics using contractions
Christian Döbler, Giovanni Peccati
We consider sequences of symmetric -statistics, not necessarily Hoeffding-degenerate, both in a one- and multi-dimensional setting, and prove quantitative central limit theorems…