Radial generation of n-dimensional poisson processes

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.

Saved in:
Bibliographic Details
Published in:Journal of applied probability 1984-09, Vol.21 (3), p.548-557
Main Authors: Quine, M. P., Watson, D. F.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Geometric probability. Stochastic geometry. Random sets
Mathematics
Probability and statistics
Probability theory and stochastic processes
Research Papers
Sciences and techniques of general use
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0021-9002
1475-6072
DOI:10.2307/3213616