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Random paths through a convex region

Published online by Cambridge University Press:  14 July 2016

E. G. Enns  and
P. F. Ehlers
E. G. Enns
Affiliation:
University of Calgary
P. F. Ehlers
Affiliation:
Okanagan College
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Abstract

The distribution of the length of random secants through a convex region is formulated in terms of the intersection volume of the convex region with its translated self. This method allows a more straightforward approach to calculating secant-length distributions for various measures of randomness. The results are applied to calculating the transit-time distribution of particles traversing a convex region. Several examples are given.

Keywords

GEOMETRICAL PROBABILITYCONVEXITYRANDOM SECANTS
Type
Research Papers
Information
Journal of Applied Probability , Volume 15 , Issue 1 , March 1978 , pp. 144 - 152
Copyright
Copyright © Applied Probability Trust 1978 

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