Likelihood estimation of soft-core interaction potentials for Gibbsian point patterns

DOI10.1007/BF00050670zbMath0693.62077MaRDI QIDQ908635

Masaharu Tanemura, Yosihiko Ogata

Publication date: 1989

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

Monte Carlo methodapproximationshard-core modellikelihood methodnormalizing factor of Gibbs' canonical distributionreduced densityregular point patternsrepulsive interactions between pointssoft-core modelspline surface fitting

Mathematics Subject Classification ID

Point estimation (62F10) Inference from stochastic processes (62M99)

Related Items

A Monte Carlo method for an objective Bayesian procedure, Area-interaction point processes, A Monte Carlo method for high dimensional integration, Bayesian modeling on continuously marked spatial point patterns, Cluster analysis of spatial point patterns: posterior distribution of parents inferred from offspring, The direct-connectedness function in the random connection model, Bayesian inference for spatially inhomogeneous pairwise interacting point processes, A \(J\)-function for marked point patterns

Uses Software

• spatial

Cites Work

• Likelihood analysis of spatial inhomogeneity for marked point patterns
• Estimation of interaction potentials of spatial point patterns through the maximum likelihood procedure
• Estimation of Interaction Potentials of Marked Spatial Point Patterns Through the Maximum Likelihood Method
• Point process limits of lattice processes
• Nonparametric Roughness Penalties for Probability Densities
• Unnamed Item
• Unnamed Item
• Unnamed Item