Calculating the proportion of triangles in a poisson – voronoi tessellation of the plane

DOI10.1080/00949650008812050zbMath0980.60018OpenAlexW2137046410MaRDI QIDQ2703007

Andrew Hayen, Malcolm Quine

Publication date: 15 November 2001

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

Full work available at URL: https://doi.org/10.1080/00949650008812050

zbMATH Keywords

trianglePoisson processPalm probabilityVoronoi tessellation

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (2)

An explicit expression for the distribution of the number of sides of the typical Poisson-Voronoi cell ⋮ Unnamed Item

Cites Work

• Monte carlo estimates of the distributions of the random polygons of the voronoi tessellation with respect to a poisson process
• Estimates for distributions of the Voronoi polygon's geometric characteristics
• An adaptive algorithm for the approximate calculation of multiple integrals
• Algorithm 698: DCUHRE
• The proportion of triangles in a Poisson-Voronoi tessellation of the plane

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