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arxiv: 1111.2140 · v1 · pith:BGVG6OOXnew · submitted 2011-11-09 · 🧮 math.PR

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

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keywords poissonmalliavin-steinpointprocessesu-statisticsvectorapplyingbound
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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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