32 citations · 200 across the 40 of their papers we have counts for
4 papers · 2 filters
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…
Stein's method, Malliavin calculus, Dirichlet forms and the fourth moment theorem
Louis H. Y. Chen, Guillaume Poly
The fourth moment theorem provides error bounds of the order in the central limit theorem for elements of Wiener chaos of any order such that ${\m…
The law of iterated logarithm for subordinated Gaussian sequences: uniform Wasserstein bounds
Ehsan Azmoodeh, Giovanni Peccati, Guillaume Poly
We develop a new method for showing that a given sequence of random variables verifies an appropriate law of the iterated logarithm. Our tools involve the use of general estimates…