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

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

2011-11-09

arxiv.org/abs/1111.2140v1

Mathematics

Probability

11 pages

Scientific paper

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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