Planar line processes for void and density statistics in thin stochastic fibre networks

Dodson, CTJ and Sampson, WW (2007) Planar line processes for void and density statistics in thin stochastic fibre networks. Journal of Statistical Physics, 129. pp. 311-322. ISSN 0022-4715

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Abstract

Using results for the distribution of perimeters of random polygons arising from random lines in a plane, we obtain new analytic approximations to the distributions of areas and local line densities for random polygons and compute various limiting properties of random polygons. Using simulation, we show that the lengths of adjacent sides of polygons generated by random line processes in the plane are correlated with ρ=0.616±0.001.

Item Type:	Article
Uncontrolled Keywords:	Poisson line process, Random polygons, Line density, Polygon area distribution, Limiting distributions, Approximations
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 60 Probability theory and stochastic processes MSC 2010, the AMS's Mathematics Subject Classification > 62 Statistics
Depositing User:	Prof CTJ Dodson
Date Deposited:	19 Nov 2007
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/896

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