Upper bounds for spatial point process approximations

DOI10.1214/105051604000000684zbMath1067.60022arXivmath/0503491OpenAlexW2038007960MaRDI QIDQ1774190

Dominic Schuhmacher

Publication date: 29 April 2005

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

Full work available at URL: https://arxiv.org/abs/math/0503491

zbMATH Keywords

Stein's methoddensity estimationtotal variation distancePoisson process approximation

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic distribution theory in statistics (62E20) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (6)

An explicit Dobrushin uniqueness region for Gibbs point processes with repulsive interactions ⋮ Stein's method and Poisson process approximation for a class of Wasserstein metrics ⋮ Spatial logistic regression and change-of-support in Poisson point processes ⋮ A new metric between distributions of point processes ⋮ Functional Poisson approximation in Kantorovich-Rubinstein distance with applications to \(U\)-statistics and stochastic geometry ⋮ Distance estimates for dependent superpositions of point processes

Uses Software

• spatial

Cites Work

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• Density estimation for point processes
• Stein's method and point process approximation
• Poisson approximation for dependent trials
• Mixing: Properties and examples
• The Monge–Kantorovich Mass Transference Problem and Its Stochastic Applications
• A limit theorem for spatial point processes
• Asymptotic expansions for functionals of dilation of point processes

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