Bounds for the Probability Generating Functional of a Gibbs Point Process

DOI10.1239/aap/1396360101zbMath1295.60061arXiv1210.4177OpenAlexW2963986696MaRDI QIDQ5415091

Dominic Schuhmacher, Kaspar Stucki

Publication date: 9 May 2014

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.4177

zbMATH Keywords

Stein's methodcorrelation functionGibbs processPoisson saddlepoint approximation

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (4)

Intensity approximation for pairwise interaction Gibbs point processes using determinantal point processes ⋮ Pairwise interaction function estimation of stationary Gibbs point processes using basis expansion ⋮ Gibbs point process approximation: total variation bounds using Stein's method ⋮ Poisson-saddlepoint approximation for Gibbs point processes with infinite-order interaction: in memory of Peter Hall

Uses Software

• spatstat

Cites Work

• Gibbs point process approximation: total variation bounds using Stein's method
• Mean characteristics of Gibbsian point processes
• Stein's method and point process approximation
• Fast approximation of the intensity of Gibbs point processes
• Integral and Differential Characterizations of the GIBBS Process
• Perfect simulation using dominating processes on ordered spaces, with application to locally stable point processes
• An Introduction to the Theory of Point Processes
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