22 citations · 26 across the 4 of their papers we have counts for
4 papers
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…
Convergence towards linear combinations of chi-squared random variables: a Malliavin-based approach
Ehsan Azmoodeh, Giovanni Peccati, Guillaume Poly
We investigate the problem of finding necessary and sufficient conditions for convergence in distribution towards a general finite linear combination of independent chi-squared ran…
Classical and free Fourth Moment Theorems: universality and thresholds
Ivan Nourdin, Giovanni Peccati, Guillaume Poly +1
Let be a centered random variable with unit variance, zero third moment, and such that . Let denote a normalized sequence of homogeneous sums…
Convergence in total variation on Wiener chaos
Ivan Nourdin, Guillaume Poly
Let be a sequence of random variables belonging to a finite sum of Wiener chaoses. Assume further that it converges in distribution towards satisfying ${\rm Var}…