Fast approximation of the intensity of Gibbs point processes

DOI10.1214/12-EJS707zbMath1268.60063OpenAlexW2064826207MaRDI QIDQ1950852

Adrian J. Baddeley, Gopalan M. Nair

Publication date: 28 May 2013

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ejs/1340974139

zbMATH Keywords

Palm distributionPoisson approximationStrauss processmean field approximationLambert \(W\) functionGibbs point processGeorgii-Nguyen-Zessin formulaPapangelou conditional intensityPercus-Yevick approximationpairwise interaction point processPoisson-saddle point approximation

Mathematics Subject Classification ID

Approximations to statistical distributions (nonasymptotic) (62E17) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items

Intensity approximation for pairwise interaction Gibbs point processes using determinantal point processes, Perfect sampling for Gibbs point processes using partial rejection sampling, A Tutorial on Palm Distributions for Spatial Point Processes, Pairwise interaction function estimation of stationary Gibbs point processes using basis expansion, Numerical solution of an integral equation from point process theory, An extension of Monte Carlo hypothesis tests, Rejection- and importance-sampling-based perfect simulation for Gibbs hard-sphere models, Bounds for the Probability Generating Functional of a Gibbs Point Process, Poisson-saddlepoint approximation for Gibbs point processes with infinite-order interaction: in memory of Peter Hall, Planar segment processes with reference mark distributions, modeling and estimation, Cluster Expansions for GIBBS Point Processes, Adjusted composite likelihood ratio test for spatial Gibbs point processes

Uses Software

• R
• spatstat
• spatial
• DLMF
• GSL
• BRENT
• pyuvdata

Cites Work

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