The Visibility of Stationary and Moving Targets in the Plane Subject to a Poisson Field of Shadowing Elements.
STATE UNIV OF NEW YORK AT BINGHAMTON CENTER FOR STATISTICS QUALITY CONTROL AND DESIGN
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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 formulate for the moments of a measure of the total proportional visibility along a star-shaped curve are given. The general methodology is illustrated by some examples of visibility along the circumference of half a circle, when the obscuring elements are centered within a concentric annular region. The distribution of the measure of proportional visibility is approximated by a mixed-beta distribution. Author
- Statistics and Probability