Second order Poincaré inequalities and CLTs on Wiener space

We prove infinite-dimensional second order Poincar\'e inequalities on Wiener space, thus closing a circle of ideas linking limit theorems for functionals of Gaussian fields, Stein's method and Malliavin calculus. We provide two applications: (i) to a new "second order" characteri...

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Bibliographic Details
Main Authors: Nourdin, I, Peccati, G, Reinert, G
Format: Journal article
Language:English
Published: Elsevier 2008