Estimating Pair Correlation Functions of Planar Cluster Processes

DOI10.1002/bimj.4710380302zbMath0859.62041OpenAlexW2085493949MaRDI QIDQ4717740

Dietrich Stoyan, Helga Stoyan

Publication date: 9 April 1997

Published in: Biometrical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/bimj.4710380302

zbMATH Keywords

kernel estimatorsexploratory data analysispair correlation functionmodel choicecluster processespine forestadapted bandwidthbiological point patternspoint process statisticsvariable band widths

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Density estimation (62G07) Applications of statistics to biology and medical sciences; meta analysis (62P10) Non-Markovian processes: estimation (62M09) Inference from stochastic processes (62M99)

Related Items (24)

Cauchy cluster process ⋮ Substationarity for spatial point processes ⋮ Cluster analysis of spatial point patterns: posterior distribution of parents inferred from offspring ⋮ On asymptotic properties of the mark variogram estimator of a marked point process ⋮ A KPSS Test for Stationarity for Spatial Point Processes ⋮ Identification and estimation of superposed Neyman-Scott spatial cluster processes ⋮ Strong convergence of kernel estimators for product densities of absolutely regular point processes ⋮ Testing First-Order Spherical Symmetry of Spatial Point Processes ⋮ Testing proportionality between the first-order intensity functions of spatial point processes ⋮ On Variograms in Point Process Statistics, II: Models of Markings and Ecological Interpretation ⋮ Overall and pairwise segregation tests based on nearest neighbor contingency tables ⋮ Random Sets: Models and Statistics ⋮ Directional clustering tests based on nearest neighbour contingency tables ⋮ A Composite Likelihood Cross‐validation Approach in Selecting Bandwidth for the Estimation of the Pair Correlation Function ⋮ Cell-specific and post-hoc spatial clustering tests based on nearest neighbor contingency tables ⋮ Poles of pair correlation functions: when they are real? ⋮ New Tests of Spatial Segregation Based on Nearest Neighbour Contingency Tables ⋮ Hidden Second-order Stationary Spatial Point Processes ⋮ Functional summary statistics for the Johnson–Mehl model ⋮ Disentangling mark/point interaction in marked-point processes ⋮ Mechanistic spatio-temporal point process models for marked point processes, with a view to forest stand data ⋮ Stationarity Tests for Spatial Point Processes using Discrepancies ⋮ Classification of events using local pair correlation functions for spatial point patterns ⋮ Test for the first-order stationarity for spatial point processes in arbitrary regions

Cites Work

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