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A collision probability problem

Published online by Cambridge University Press:  14 July 2016

Irini Papaderou-Vogiatzaki  and
Rolf Schneider
Irini Papaderou-Vogiatzaki*
Affiliation:
Universität Freiburg i. Br.
Rolf Schneider*
Affiliation:
Universität Freiburg i. Br.
*
∗ Postal address: Friedrichstr. 3a, D-1000 Berlin 45, W. Germany.
∗∗ Postal address: Mathematisches Institut, Albert-Ludwigs-Universität, Albertstr. 23b, D-7800 Freiburg i. Br., W. Germany.
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Abstract

A random stream of convex particles in , all moving uniformly in the same direction, is given. A convex test body is brought into the stream by means of a random rigid motion, independent of the stream. The number of particles that hit the test body at a preassigned boundary set within unit time is a random variable. Its expected value is determined under different model assumptions.

Keywords

RANDOM COLLISIONSPOINT PROCESSES IN SPACES OF CONVEX BODIESCURVATURE MEASURES

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 25 , Issue 3 , September 1988 , pp. 617 - 623
Copyright
Copyright © Applied Probability Trust 1988 

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References

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