A collision probability problem

A collision probability problem

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Article ID: iaor1988715
Country: Israel
Volume: 25
Issue: 3
Start Page Number: 617
End Page Number: 623
Publication Date: Sep 1988
Journal: Journal of Applied Probability
Authors: ,
Abstract:

A random stream of convex particles in <∼n, 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.

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