Radial generation of n-dimensional poisson processes
- 1 September 1984
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 21 (3) , 548-557
- https://doi.org/10.2307/3213616
Abstract
A simple method is proposed for the generation of successive ‘nearest neighbours' to a given origin in an n-dimensional Poisson process. It is shown that the method provides efficient simulation of random Voronoi polytopes. Results are given of simulation studies in two and three dimensions.Keywords
This publication has 11 references indexed in Scilit:
- The basic structures of Voronoi and generalized Voronoi polygonsJournal of Applied Probability, 1982
- Computing the n-dimensional Delaunay tessellation with application to Voronoi polytopesThe Computer Journal, 1981
- Monte carlo estimates of the distributions of the random polygons of the voronoi tessellation with respect to a poisson processJournal of Statistical Computation and Simulation, 1980
- Random Sets and Integral Geometry.Journal of the Royal Statistical Society. Series A (General), 1976
- Monte carlo estimates of the distributions of the random polygons determined by random lines in a planeJournal of Statistical Computation and Simulation, 1976
- Stochastic Models for the Distribution of Particles in SpaceAdvances in Applied Probability, 1972
- Random packings and the structure of simple liquids II. The molecular geometry of simple liquidsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1970
- Random packings and the structure of simple liquids. I. The geometry of random close packingProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1970
- Remarks on the Poisson processPublished by Springer Nature ,1967
- Random Subdivisions of Space into CrystalsThe Annals of Mathematical Statistics, 1962