Maximum pseudolikelihood estimator for exponential family models of marked Gibbs point processes

DOI10.1214/07-EJS160zbMath1135.62364arXiv0804.3715MaRDI QIDQ2426834

Jean-François Coeurjolly, Jean-Michel Billiot, Remy Drouilhet

Publication date: 14 May 2008

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

Full work available at URL: https://arxiv.org/abs/0804.3715

zbMATH Keywords

minimum contrast estimatorsstationary marked Gibbs point processes

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Non-Markovian processes: estimation (62M09) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (12)

Takacs-Fiksel Method for Stationary Marked Gibbs Point Processes ⋮ Variational estimators for the parameters of Gibbs point process models ⋮ Penalized composite likelihoods for inhomogeneous Gibbs point process models ⋮ Campbell equilibrium equation and pseudo-likelihood estimation for non-hereditary Gibbs point processes ⋮ What is the effective sample size of a spatial point process? ⋮ Inference for low‐ and high‐dimensional inhomogeneous Gibbs point processes ⋮ Pairwise interaction function estimation of stationary Gibbs point processes using basis expansion ⋮ Comparison of persistence diagrams ⋮ 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 ⋮ Almost sure behavior of functionals of stationary Gibbs point processes ⋮ Fast Covariance Estimation for Innovations Computed from a Spatial Gibbs Point Process

Cites Work

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• Pseudolikelihood for exponential family models of spatial point processes
• On asymptotic normality of pseudo likelihood estimates for pairwise interaction processes
• Consistency of the maximum pseudo-likelihood estimator of continuous state space Gibbsian processes
• Superstable interactions in classical statistical mechanics
• Point process limits of lattice processes
• Ergodic theorems for spatial processes
• Practical Maximum Pseudolikelihood for Spatial Point Patterns
• Existence of ‘nearest-neighbour’ spatial Gibbs models

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