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

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• 作者：Rapha?l Lachi¨¨ze-Rey ; Giovanni Peccati
• 关键词：60H07 ; 60F05 ; 60G55 ; 60D05
• 刊名：Stochastic Processes and their Applications
• 出版年：2013
• 出版时间：December, 2013
• 年：2013
• 卷：123
• 期：12
• 页码：4186-4218
• 全文大小：363 K

文摘

Continuing the analysis initiated by Lachi¨¨ze-Rey and Peccati (2013), we use contraction operators to study the normal approximation of random variables having the form of a -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.