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The visibility of stationary and moving targets in the plane subject to a Poisson field of shadowing elements

Published online by Cambridge University Press:  14 July 2016

M. Yadin  and
S. Zacks
M. Yadin*
Affiliation:
Technion — Israel Institute of Technology
S. Zacks*
Affiliation:
State University of New York at Binghamton
*
∗ Postal address: Faculty of Industrial Engineering and Management, Technion — Israel Institute of Technology, Technion City, Haifa 32000, Israel.
∗∗ Postal address: Center for Statistics, Quality Control and Design, State University of New York at Binghamton, Binghamton, NY 13901, USA.
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Abstract

A methodology for an analytical derivation of visibility probabilities of n stationary target points in the plane is developed for the case when shadows are cast by a Poisson random field of obscuring elements. In addition, formulae for the moments of a measure of the total proportional visibility along a star-shaped curve are given.

Keywords

VISIBILITY PROBABILITYMEASURE OF PROPORTIONAL VISIBILITYPOISSON RANDOM SHADOWING PROCESS
Type
Research Papers
Information
Journal of Applied Probability , Volume 22 , Issue 4 , December 1985 , pp. 776 - 786
Copyright
Copyright © Applied Probability Trust 1985 

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Footnotes

Research partially supported by Contract DAAGZ983K0176 with the U.S. Army Research Office.

References

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