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

Continuing the analysis initiated by Lachièze-Rey and Peccati (2013), 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, boolean models and coverage of random networks.

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Year of publication:	2013
Authors:	Lachièze-Rey, Raphaël ; Peccati, Giovanni
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 123.2013, 12, p. 4186-4218
Publisher:	Elsevier
Subject:	Central limit theorems \| Contractions \| Malliavin calculus \| Poisson space \| Stein’s method \| Stochastic geometry \| U-statistics \| Wasserstein distance \| Wiener chaos

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011065028