Likelihood analysis of spatial inhomogeneity for marked point patterns
type: Item
instance of: scholarly article
title: Likelihood analysis of spatial inhomogeneity for marked point patterns
zbMATH Open document ID: 0668.62084
DOI: 10.1007/BF00053953
author: Yosihiko Ogata
author: Koichi Katsura
published in: Annals of the Institute of Statistical Mathematics
publication date: 1988-01-01T00:00:00Z
review text: An objective method is developed for estimations of both spatial intensity of the point locations and spatial variation of a characteristic parameter of the distributions for the attached marks. Its utility is demonstrated by means of analyses of seismological and ecological data sets.
Mathematics Subject Classification ID: 62P99
Mathematics Subject Classification ID: 62F15
Mathematics Subject Classification ID: 62N99
Mathematics Subject Classification ID: 65C99
zbMATH DE Number: 4094645
zbMATH Keywords: marked point patterns
zbMATH Keywords: distributions of marks
zbMATH Keywords: B-splines
zbMATH Keywords: smoothing
zbMATH Keywords: penalized likelihood
zbMATH Keywords: objective Bayesian method
zbMATH Keywords: magnitude frequency
zbMATH Keywords: b- value
zbMATH Keywords: seismological data
zbMATH Keywords: spatial intensity
zbMATH Keywords: point locations
zbMATH Keywords: ecological data
MaRDI profile type: Publication
cites work: A Bayesian extension of the minimum AIC procedure of autoregressive model fitting
cites work: Q3940703
cites work: A Rapidly Convergent Descent Method for Minimization
cites work: Q5555372
cites work: Nonparametric Roughness Penalties for Probability Densities
cites work: A Bayesian approach to binary response curve estimation
cites work: Multivariate interpolation at arbitrary points made simple
cites work: Estimation of Interaction Potentials of Marked Spatial Point Patterns Through the Maximum Likelihood Method
cites work: Statistical Analysis of Spatial Point Processes: A Soft‐Core Model and Cross‐Correlations of Marks
cites work: Common Structure of Smoothing Techniques in Statistics
description: scientific article; zbMATH DE number 4094645