Almost sure behavior of functionals of stationary Gibbs point processes

DOI10.1016/j.spl.2014.11.014zbMath1315.60054OpenAlexW2134458601MaRDI QIDQ2343661

Jean-François Coeurjolly

Publication date: 6 May 2015

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2014.11.014

zbMATH Keywords

Luxemburg normGeorgii-Nguyen-Zessin formulastationary Gibbs point processesKahane-Khintchine's inequality

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (2)

Inference for low‐ and high‐dimensional inhomogeneous Gibbs point processes ⋮ A concentration inequality for inhomogeneous Neyman-Scott point processes

Uses Software

• pyuvdata

Cites Work

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• The Armenian connection: reminiscences from a time of interactions
• The Papangelou process
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• Properties of residuals for spatial point processes
• Maximum pseudolikelihood estimator for exponential family models of marked Gibbs point processes
• Superstable interactions in classical statistical mechanics
• Kahane-Khintchine inequalities and functional central limit theorem for stationary random fields.
• Ergodic theorems for spatial processes
• Stochastic comparison of point random fields
• Existence of ‘nearest-neighbour’ spatial Gibbs models
• Residuals and Goodness-of-Fit Tests for Stationary Marked Gibbs Point Processes
• Residual Analysis for Spatial Point Processes (with Discussion)

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