Fine Gaussian fluctuations on the Poisson space II: rescaled kernels, marked processes and geometric U-statistics

2012/05/03 by Lachieze-Rey, Raphael, Peccati, Giovanni
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1205.0632

Abstract

Continuing the analysis initiated in Lachiéze-Rey and Peccati (2011), we use contraction operators to study the normal approximation of random variables having the form of a U-statistic written on the points in the support of a random Poisson measure. Applications are provided: to boolean models, and coverage of random networks.

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