Fine Gaussian fluctuations on the Poisson space II: rescaled kernels, marked processes and geometric U-statistics - Archive ouverte HAL
Article Dans Une Revue Stochastic Processes and their Applications Année : 2013

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

Résumé

Continuing the analysis initiated in Lachiéze-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 boolean models, and coverage of random networks.
Fichier principal
Vignette du fichier
LR_PE_HAL_FINAL_2.pdf (387.72 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00693396 , version 1 (02-05-2012)
hal-00693396 , version 2 (01-06-2012)

Identifiants

Citer

Raphaël Lachièze-Rey, Giovanni Peccati. Fine Gaussian fluctuations on the Poisson space II: rescaled kernels, marked processes and geometric U-statistics. Stochastic Processes and their Applications, 2013, 123 (12), pp.4186-4218. ⟨10.1016/j.spa.2013.06.004⟩. ⟨hal-00693396v2⟩
142 Consultations
174 Téléchargements

Altmetric

Partager

More