Simulation of the typical Poisson–Voronoi–Cox–Voronoi cell

DOI10.1080/00949650802106662zbMath1187.60007OpenAlexW2019927617MaRDI QIDQ3638527

C. Gloaguen, Volker Schmidt, Florian Voss, Frank Fleischer

Publication date: 27 October 2009

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

Full work available at URL: https://doi.org/10.1080/00949650802106662

zbMATH Keywords

stochastic geometrypoint processestypical cellPalm distributionsNeveu's exchange formulaspatial tessellations

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Probabilistic methods, stochastic differential equations (65C99)

Related Items (6)

A stochastic model for multi-hierarchical networks ⋮ Weighted Poisson cells as models for random convex~polytopes ⋮ Densities of Shortest Path Lengths in Spatial Stochastic Networks ⋮ Continuum percolation for Cox point processes ⋮ Scaling limits for shortest path lengths along the edges of stationary tessellations ⋮ Ratio limits and simulation algorithms for the Palm version of stationary iterated tessellations

Cites Work

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• Simulation of typical Cox-Voronoi cells with a special regard to implementation tests
• Simulation algorithm of typical modulated Poisson-Voronoi cells and application to telecommunication network modelling
• Distributional properties of the typical cell of stationary iterated tessellations
• Radial generation of n-dimensional poisson processes
• Some distributional results for Poisson-Voronoi tessellations
• Random Laguerre tessellations
• Sur les mesures de Palm de deux processus ponctuels stationnaires
• Theory of Random Sets

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