Mean Densities and Spherical Contact Distribution Function of Inhomogeneous Boolean Models

DOI10.1080/07362991003708812zbMath1228.60023OpenAlexW2080511634MaRDI QIDQ3578753

Elena Villa

Publication date: 20 July 2010

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362991003708812

zbMATH Keywords

random setsspherical contact distributionMinkowski contentBoolean modelsspecific areamean denstities

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (8)

Asymptotic results for multivariate estimators of the mean density of random closed sets ⋮ On the estimation of the mean density of random closed sets ⋮ Anisotropic tubular neighborhoods of sets ⋮ Optimal bandwidth of the ``Minkowski content-based estimator of the mean density of random closed sets: theoretical results and numerical experiments ⋮ Large and moderate deviations for kernel-type estimators of the mean density of Boolean models ⋮ On the local approximation of mean densities of random closed sets ⋮ On volume and surface densities of dynamical germ-grain models with ellipsoidal growth: a rigorous approach with applications to Materials Science ⋮ Dilation volumes of sets of finite perimeter

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