Title of article :
Fine Gaussian fluctuations on the Poisson space II: Rescaled kernels, marked processes and geometric -statistics
Author/Authors :
Lachièze-Rey، M. نويسنده , , Raphaël and Peccati، نويسنده , , Giovanni، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2013
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 , Poisson space , Malliavin Calculus , U -statistics , Stein’s method , stochastic geometry , Wasserstein distance , Wiener chaos , Contractions
Journal title :
Stochastic Processes and their Applications
Journal title :
Stochastic Processes and their Applications
