Functional Poisson approximation in Kantorovich-Rubinstein distance with applications to \(U\)-statistics and stochastic geometry

DOI10.1214/15-AOP1020zbMath1347.60027arXiv1406.5484MaRDI QIDQ726803

Christoph Thäle, Laurent Decreusefond, Matthias Schulte

Publication date: 14 July 2016

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5484

zbMATH Keywords

Stein's methodstochastic geometryfunctional limit theoremPoisson process\(U\)-statisticsbinomial processKantorovich-Rubinstein distanceMalliavin formalism

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Stochastic calculus of variations and the Malliavin calculus (60H07) Functional limit theorems; invariance principles (60F17) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (27)

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