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2007.157: Planar line processes for void and density statistics in thin stochastic fibre networks

2007.157: CTJ Dodson and WW Sampson (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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DOI: 10.1007/s10955-007-9379-9

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 2000 > 60 Probability theory and stochastic processes
MSC 2000 > 62 Statistics
MIMS number:2007.157
Deposited By:Prof CTJ Dodson
Deposited On:19 November 2007

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