Existence of ‘nearest-neighbour’ spatial Gibbs models

DOI10.1239/aap/1029955249zbMath0955.60008OpenAlexW2008143408MaRDI QIDQ4954100

Remy Drouilhet, Etienne Bertin, Jean-Michel Billiot

Publication date: 17 May 2000

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

Full work available at URL: https://doi.org/10.1239/aap/1029955249

zbMATH Keywords

Delaunay triangulationGibbs modelOrd's model

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Sufficient statistics and fields (62B05)

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Bayesian analysis of a Gibbs hard-core point pattern model with varying repulsion range ⋮ Takacs-Fiksel Method for Stationary Marked Gibbs Point Processes ⋮ Campbell equilibrium equation and pseudo-likelihood estimation for non-hereditary Gibbs point processes ⋮ Pairwise interaction function estimation of stationary Gibbs point processes using basis expansion ⋮ Maximum pseudolikelihood estimator for exponential family models of marked Gibbs point processes ⋮ Gibbs Delaunay tessellations with geometric hardcore conditions ⋮ Asymptotic properties of the maximum pseudo-likelihood estimator for stationary Gibbs point processes including the Lennard-Jones model ⋮ Practical simulation and estimation for Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction ⋮ \(R\)-local Delaunay inhibition model ⋮ Existence of Gibbsian point processes with geometry-dependent interactions ⋮ Almost sure behavior of functionals of stationary Gibbs point processes

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