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Random paths through convex bodies

Published:1969-08 Issue:2 Volume:6 Page:430-441
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Coleman Rodney

Abstract

SummarySeveral mechanisms under which the randomness of straight line paths through convex bodies can arise are described. Some general results are given relating four of these mechanisms, and the corresponding distributions of the lengths of the straight line paths are found for the circle, the rectangle, and the cube.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference6 articles.

1. Spatial variation;Matern;Medd. från statens skogsforskningsinstitut,1960

2. Probability of random paths across elementary geometrical shapes

3. Mean free paths in a convex reflecting region

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