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Some properties of chord length distributions

Published online by Cambridge University Press:  14 July 2016

J. Gates
J. Gates*
Affiliation:
Thames Polytechnic
*
∗Postal address: School of Mathematics, Statistics and Computing, Thames Polytechnic, Wellington St, Woolwich, London SE18 6PF, UK.
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Abstract

The chord length distributions of planar convex sets are discussed, particularly the density values at the extremes of the range; there is a qualitative distinction between polygons and sets with smooth boundaries. The distance between convex sets is related to the distance between distribution functions.

Keywords

RANDOM CHORD LENGTHINITIAL AND TERMINAL DENSITIESHAUSDORFF DISTANCE
Type
Research Papers
Information
Journal of Applied Probability , Volume 24 , Issue 4 , December 1987 , pp. 863 - 874
Copyright
Copyright © Applied Probability Trust 1987 

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