22 citations · 50 across the 16 of their papers we have counts for
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math.PR2015★ 1 cited
Multidimensional limit theorems for homogeneous sums: a general transfer principle
Ivan Nourdin, Giovanni Peccati, Guillaume Poly +1
The aim of the present paper is to establish the multidimensional counterpart of the \textit{fourth moment criterion} for homogeneous sums in independent leptokurtic and mesokurtic…
math.PR2015★ 22 cited
Squared chaotic random variables: new moment inequalities with applications
Dominique Malicet, Ivan Nourdin, Giovanni Peccati +1
We prove a new family of inequalities involving squares of random variables belonging to the Wiener chaos associated with a given Gaussian field. Our result provides a substantial…