Fine Gaussian fluctuations on the Poisson space II : rescaled kernels , marked processes and geometric U - statistics
نویسنده
چکیده
Continuing the analysis initiated in Lachièze-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 subgraph counting, to boolean models and to coverage of random networks.
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Fine Gaussian fluctuations on the Poisson space, I: contractions, cumulants and geometric random graphs
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