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On the moments of vacancy of random arcs on the circle

Published online by Cambridge University Press:  14 July 2016

Norbert Henze
Norbert Henze*
Affiliation:
University of Hanover
*
∗Postal address: Institut für Mathematische Stochastik, Universität Hannover, Welfengarten 1, D-3000 Hannover 1, West Germany.
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Abstract

Place n arcs of equal length uniformly at random on the circumference of a circle. We give a simple probabilistic derivation of the moments of the uncovered portion of the circle.

Keywords

RANDOM COVERING OF THE CIRCLEMOMENTS OF COVERAGE
Type
Short Communications
Information
Journal of Applied Probability , Volume 23 , Issue 3 , September 1986 , pp. 837 - 840
Copyright
Copyright © Applied Probability Trust 1986 

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References

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