Numerical and Analytical Computation of Some Second-Order Characteristics of Spatial Poisson-Voronoi Tessellations

DOI10.1080/02331889808802638zbMath0912.60023OpenAlexW2056373340MaRDI QIDQ3842738

Ralf Körner, Lutz Muche, N. Mehlhorn, Lothar Heinrich

Publication date: 8 November 1998

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331889808802638

zbMATH Keywords

correlation functionstationary Poisson point processtypical Poisson-Voronoi polyhedronVoronoi tessellation pair

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Parametric tolerance and confidence regions (62F25) Geometric probability and stochastic geometry (60D05) Probabilistic methods, stochastic differential equations (65C99)

Related Items (5)

Limit theorems for functionals on the facets of stationary random tessellations ⋮ On the measure of Voronoi cells ⋮ Erratum: Second-order properties of the point process of nodes in a stationary Voronoi tessellation ⋮ Central limit theorems for Poisson hyperplane tessellations ⋮ Asymptotic properties of random Voronoi cells with arbitrary underlying density

Cites Work

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• Some mean value relations on stationary random mosaies in the space
• Contact and chord length distributions of the Poisson Voronoi tessellation
• Mean-Value Formulae for the Neighbourhood of the Typical Cell of a Random Tessellation
• Random tessellations in ℝ^d
• Generation of the typical cell of a non-poissonian Johnson-Mehl tessellation
• The Poisson Voronoi Tessellation I. A Basic Identity
• The Poisson Voronoi Tessellation II. Edge Length Distribution Functions
• Isotropic random simplices
• Random Subdivisions of Space into Crystals

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