8 citations · 21 across the 5 of their papers we have counts for
5 papers
Quantitative two-scale stabilization on the Poisson space
Raphaël Lachièze-Rey, Giovanni Peccati, Xiaochuan Yang
We establish inequalities for assessing the distance between the distribution of a (possibly multidimensional) functional of a Poisson random measure and that of a Gaussian element…
Multivariate stable approximation in Wasserstein distance by Stein's method
Peng Chen, Ivan Nourdin, Lihu Xu +1
By a delicate analysis for the Stein's equation associated to the -stable law approximation with , we prove a quantitative stable central limit theorem in Wasserstei…
Restricted hypercontractivity on the Poisson space
Ivan Nourdin, Giovanni Peccati, Xiaochuan Yang
We show that the Ornstein-Uhlenbeck semigroup associated with a general Poisson random measure is hypercontractive, whenever it is restricted to non-increasing mappings on configur…
Non-integrable stable approximation by Stein's method
Peng Chen, Ivan Nourdin, Lihu Xu +2
We develop Stein's method for -stable approximation with , continuing the recent line of research by Xu \cite{lihu} and Chen, Nourdin and Xu \cite{C-N-X} in the case…
Berry-Esseen bounds in the Breuer-Major CLT and Gebelein's inequality
Ivan Nourdin, Giovanni Peccati, Xiaochuan Yang
We derive explicit Berry-Esseen bounds in the total variation distance for the Breuer-Major central limit theorem, in the case of a subordinating function satisfying minimal re…