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...
Main Authors: | , , |
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Format: | Journal article |
Language: | English |
Published: |
Elsevier
2008
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