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

Raphaël Lachièze-Rey and Giovanni Peccati

Stochastic Processes and their Applications, 2013, vol. 123, issue 12, 4186-4218

Abstract: 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.

Keywords: Central limit theorems; Contractions; Malliavin calculus; Poisson space; Stein’s method; Stochastic geometry; U-statistics; Wasserstein distance; Wiener chaos (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (3)

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DOI: 10.1016/j.spa.2013.06.004

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