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Approximations to hard-core models and their application to statistical analysis

Published online by Cambridge University Press:  14 July 2016

Mark Westcott
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Abstract

This paper derives upper and lower bounds to the distribution functions of nearest-neighbour and minimum nearest-neighbour distances between N points generated by a hard-core model on the surface of a sphere. The use of these bounds in statistical inference is discussed.

Keywords

HARD-CORE MODELINFERENCE FOR POINT PROCESSESNEAREST-NEIGHBOUR DISTANCESPOINTS ON A SPHEREPOISSON PROCESS
Type
Part 5 — Statistical Theory
Information
Journal of Applied Probability , Volume 19 , Issue A , 1982 , pp. 281 - 292
Copyright
Copyright © 1982 Applied Probability Trust 

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