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Malliavin-Stein method for multi-dimensional U-statistics of Poisson point processes

Published 9 Nov 2011 in math.PR | (1111.2140v1)

Abstract: In this paper, we give an upper bound for a probabilistic distance between a Gaussian vector and a vector of U-statistics of Poisson point processes by applying Malliavin-Stein inequality on the Poisson space.

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