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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.
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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⟩
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