Random patterns of nonoverlapping convex grains

DOI10.1239/AAP/1037990950zbMath1020.60004OpenAlexW1968323110MaRDI QIDQ4706203

Mats Rudemo, Marianne Månsson

Publication date: 19 June 2003

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

Full work available at URL: https://doi.org/10.1239/aap/1037990950

zbMATH Keywords

volume fractionPoisson processmaterial fatiguegerm-grain processradius distributionMatérn's hard-core processesnonoverlapping grains

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (7)

Bayesian analysis of a Gibbs hard-core point pattern model with varying repulsion range ⋮ A generalization of Matérn hard-core processes with applications to max-stable processes ⋮ The maximum volume hard subset model for Poisson processes: simulation aspects ⋮ Contact distribution in a thinned Boolean model with power-law radii ⋮ The dead leaves model: a general tessellation modeling occlusion ⋮ Hard-Core Thinnings of Germ‒Grain Models with Power-Law Grain Sizes ⋮ A connection between the volume fractions of the Stienen model and the dead leaves model

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