Statistical properties of Poisson-Voronoi tessellation cells in bounded regions

DOI10.1080/00949655.2020.1836184OpenAlexW3096442801MaRDI QIDQ5065262

Stuart Barber, Fatih Gezer, Robert G. Aykroyd

Publication date: 18 March 2022

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://eprints.whiterose.ac.uk/166810/1/Gezer_Aykroyd_Barber.pdf

zbMATH Keywords

spatial statisticsPoisson point processVoronoi tessellationgeneralized gamma distributionbounded regions

Mathematics Subject Classification ID

Statistics (62-XX)

Uses Software

• spatial

Cites Work

• Lectures on random Voronoi tessellations
• Distribution of cell area in bounded Poisson Voronoi tessellations with application to secure local connectivity
• The role of spatial pattern in the competition between crop plants and weeds. A theoretical analysis
• On a coverage process ranging from the Boolean model to the Poisson–Voronoi tessellation with applications to wireless communications
• Monte carlo estimates of the distributions of the random polygons of the voronoi tessellation with respect to a poisson process
• Random Subdivisions of Space into Crystals
• A Generalization of the Gamma Distribution
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