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Radial generation of n-dimensional poisson processes

Published online by Cambridge University Press:  14 July 2016

M. P. Quine  and
D. F. Watson
M. P. Quine
Affiliation:
University of Sydney
D. F. Watson*
Affiliation:
University of Sydney
*
∗Postal address: Department of Mathematical Statistics, The University of Sydney, NSW 2006, Australia.
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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

GEOMETRICAL PROBABILITYSIMULATIONVORONOI POLYTOPE
Type
Research Papers
Information
Journal of Applied Probability , Volume 21 , Issue 3 , September 1984 , pp. 548 - 557
Copyright
Copyright © Applied Probability Trust 1984 

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