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Intercept lengths of random probes through boxes

Published online by Cambridge University Press:  14 July 2016

Rodney Coleman
Rodney Coleman*
Affiliation:
Imperial College, London
*
∗Postal address: Department of Mathematics, Imperial College, Huxley Building, Queen's Gate, London SW7 2BZ, U.K.
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Abstract

The distribution and its moments are given of the length of the intercept made by a random probe through a box having perpendicular edge lengths a, b and c. Three types of random probe are considered.

Keywords

STEREOLOGYGEOMETRICAL PROBABILITYRANDOM SECANTSRANDOM CHORDSPARALLELEPIPED
Type
Short Communications
Information
Journal of Applied Probability , Volume 18 , Issue 1 , March 1981 , pp. 276 - 282
Copyright
Copyright © Applied Probability Trust 

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References

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