Likelihood analysis of spatial inhomogeneity for marked point patterns

DOI10.1007/BF00053953zbMath0668.62084MaRDI QIDQ1118327

Yosihiko Ogata, Koichi Katsura

Publication date: 1988

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

zbMATH Keywords

smoothingB-splinespenalized likelihoodb- valuedistributions of marksecological datamagnitude frequencymarked point patternsobjective Bayesian methodpoint locationsseismological dataspatial intensity

Mathematics Subject Classification ID

Bayesian inference (62F15) Applications of statistics (62P99) Survival analysis and censored data (62N99) Probabilistic methods, stochastic differential equations (65C99)

Related Items (13)

Spatial Cox processes in an infinite-dimensional framework ⋮ A review of self-exciting spatio-temporal point processes and their applications ⋮ A Monte Carlo method for an objective Bayesian procedure ⋮ Evaluation of spatial Bayesian models -- two computational methods ⋮ Time series, point processes, and hybrids ⋮ Parametric estimation of spatial-temporal point processes using the Stoyan-Grabarnik statistic ⋮ Cluster analysis of spatial point patterns: posterior distribution of parents inferred from offspring ⋮ Hybrid kernel estimates of space-time earthquake occurrence rates using the epidemic-type aftershock sequence model ⋮ Likelihood estimation of soft-core interaction potentials for Gibbsian point patterns ⋮ Bayesian change points analysis on the seismic activity in northeastern Taiwan ⋮ A Bayesian analysis for the seismic data on Taiwan ⋮ Modelling Heterogeneous Space–Time Occurrences of Earthquakes and its Residual Analysis ⋮ Local spatial log-Gaussian Cox processes for seismic data

Cites Work

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• A Bayesian approach to binary response curve estimation
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• Estimation of Interaction Potentials of Marked Spatial Point Patterns Through the Maximum Likelihood Method
• A Bayesian extension of the minimum AIC procedure of autoregressive model fitting
• A Rapidly Convergent Descent Method for Minimization
• Nonparametric Roughness Penalties for Probability Densities
• Statistical Analysis of Spatial Point Processes: A Soft‐Core Model and Cross‐Correlations of Marks

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