Anisotropic Poisson processes of cylinders

DOI10.1007/s11009-010-9193-8zbMath1252.60017arXiv1006.4750OpenAlexW2149120779MaRDI QIDQ429978

Malte Spiess, Evgueni Spodarev

Publication date: 20 June 2012

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.4750

zbMATH Keywords

anisotropyrandom setcapacity functionalcontact distribution functioncylinder process

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Stationary stochastic processes (60G10)

Related Items

Multivariate Poisson distributions associated with Boolean models, Berry-Esseen bounds and Cramér-type large deviations for the volume distribution of Poisson cylinder processes, Variance asymptotics and central limit theory for geometric functionals of Poisson cylinder processes, Mixing properties of stationary Poisson cylinder models, Variance asymptotics for the area of planar cylinder processes generated by Brillinger-mixing point processes, Asymptotic Properties of the Approximate Inverse Estimator for Directional Distributions, Nonparametric inference in a stereological model with oriented cylinders applied to dual phase steel, Concentration inequalities for functionals of Poisson cylinder processes, Estimating an even spherical measure from its sine transform., Central Limit Theorems for Volume and Surface Content of Stationary Poisson Cylinder Processes in Expanding Domains, Mixed measures of convex cylinders and quermass densities of Boolean models

Cites Work

• Geometric inequalities for Poisson processes of convex bodies and cylinders
• Mixed measures of convex cylinders and quermass densities of Boolean models
• Point processes of cylinders, particles and flats
• Stochastic and Integral Geometry
• Relationship between specific surface area and spatial correlation functions for anisotropic porous media
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