A limit theorem for statistics of spatial data

DOI10.2307/1426605zbMath0431.60036OpenAlexW4249681128MaRDI QIDQ3868531

Adrian J. Baddeley

Publication date: 1980

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1426605

zbMATH Keywords

functional central limit theoremrandom fieldsrandom setsmathematical morphologyempirical distributions

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Geometric probability and stochastic geometry (60D05) Functional limit theorems; invariance principles (60F17)

Related Items (15)

Second Order Analysis of Geometric Functionals of Boolean Models ⋮ Asymptotic properties of minimum contrast estimators for parameters of Boolean models ⋮ Kaplan-Meier estimators of distance distributions for spatial point processes ⋮ Variance asymptotics and central limit theory for geometric functionals of Poisson cylinder processes ⋮ A biologically based model for the analysis of premalignant foci of arbitrary shape ⋮ Asymptotic properties of the maximum likelihood estimators of parameters of a spatial counting process modelling crystallization of polymers ⋮ Spatial logistic regression and change-of-support in Poisson point processes ⋮ Limit theorems for the empirical distribution function in the spatial case. ⋮ A nonparametric measure of spatial interaction in point patterns ⋮ Limit theorems for stationary tessellations with random inner cell structures ⋮ Central limit theorems for Poisson hyperplane tessellations ⋮ Score, pseudo-score and residual diagnostics for spatial point process models ⋮ Empirical distributions in marked point processes ⋮ Resampling a coverage pattern ⋮ Second-order properties and central limit theorems for geometric functionals of Boolean models

This page was built for publication: A limit theorem for statistics of spatial data