Estimator for the pair–potential of a gibbsian point process

DOI10.1080/02331888608801956zbMath0608.62121OpenAlexW2031119994MaRDI QIDQ3747576

Roland Takacs

Publication date: 1986

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888608801956

zbMATH Keywords

estimatorhomogeneous Gibbsian point processpair-potential with finite range

Mathematics Subject Classification ID

Non-Markovian processes: estimation (62M09) Inference from stochastic processes (62M99) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Markov processes (60J99)

Related Items (11)

Takacs-Fiksel Method for Stationary Marked Gibbs Point Processes ⋮ Estimation of the Intensity Parameter of the Germ-Grain Quermass-Interaction Model when the Number of Germs is not Observed ⋮ Variational estimators for the parameters of Gibbs point process models ⋮ Area-interaction point processes ⋮ Bayesian modeling on continuously marked spatial point patterns ⋮ Pairwise interaction function estimation of stationary Gibbs point processes using basis expansion ⋮ A nonparametric measure of spatial interaction in point patterns ⋮ Uniform LAN condition of planar Gibbsian point processes and optimality of maximum likelihood estimators of soft-core potential functions ⋮ Bayesian inference for spatially inhomogeneous pairwise interacting point processes ⋮ Asymptotic Properties of Takacs-Fiksel Estimation Method for GIBBS Point Processes ⋮ Variable selection for inhomogeneous spatial point process models

Cites Work

• Estimation of interaction potentials of spatial point patterns through the maximum likelihood procedure
• Time reversible and Gibbsian point processes, II. Markovian particle jump processes on a general phase space
• Time reversible and Gibbsian point processes I. Markovian spatial birth and death processes on a general phase space

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