Weak and strong convergence of empirical distribution functions from germ-grain processes

DOI10.1080/02331880701538531zbMath1151.62039OpenAlexW2108393239MaRDI QIDQ3525830

Zbyněk Pawlas, Lothar Heinrich

Publication date: 18 September 2008

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331880701538531

zbMATH Keywords

marked point processesmultivariate empirical distributionsGlivenko-type theoremKol\-mo\-gorov-Smirnov test

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Asymptotic distribution theory in statistics (62E20) Geometric probability and stochastic geometry (60D05) Order statistics; empirical distribution functions (62G30) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (7)

Asymptotic goodness-of-fit tests for point processes based on scaled empirical K-functions ⋮ Asymptotic goodness-of-fit tests for the Palm mark distribution of stationary point processes with correlated marks ⋮ Empirical mark covariance and product density function of stationary marked point processes -- a survey on asymptotic results ⋮ Asymptotic behavior of mean density estimators based on a single observation: the Boolean model case ⋮ Comparison of length-intensity estimators for segment processes ⋮ Empirical distributions in marked point processes ⋮ Gaussian limits of empirical multiparameter \(K\)-functions of homogeneous Poisson processes and tests for complete spatial randomness

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