Point processes of cylinders, particles and flats

DOI10.1007/BF00580825zbMath0632.60009OpenAlexW4256087787MaRDI QIDQ1095485

Wolfgang Weil

Publication date: 1987

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00580825

zbMATH Keywords

stereologyimage analysisgeometric formulas for curvature measuresstationary and isotropic Poisson processes

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Applications of statistics (62P99) Integral geometry (53C65) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)

Related Items

Approximation of zonoids by zonotopes in fixed directions, Berry-Esseen bounds and Cramér-type large deviations for the volume distribution of Poisson cylinder processes, Unnamed Item, Variance asymptotics for the area of planar cylinder processes generated by Brillinger-mixing point processes, Anisotropic Poisson processes of cylinders, Iterations of translative integral formulae and non-isotropic Poisson processes of particles, Processes of flats induced by higher dimensional processes, Distances between Poisson \(k\)-flats, Quermaßdichten für Punktprozesse konvexer Körper und Boolesche Modelle, Asymptotic Properties of the Approximate Inverse Estimator for Directional Distributions, Isoperimetric inequalities for the mixed area of plane convex sets, Concentration inequalities for functionals of Poisson cylinder processes, Intersection and proximity of processes of flats, Section and projection means of convex bodies, 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

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