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Some results concerning random arcs on the circle

Published online by Cambridge University Press:  14 July 2016

Fred W. Huffer
Fred W. Huffer*
Affiliation:
Florida State University
*
∗Postal address: Department of Statistics, Florida State University, Tallahassee, FL 32306, USA. Research supported by the Office of Naval Research under N00014–86-K-0156.
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Abstract

Random arcs having random sizes are placed on a circle. Let V be the length of the uncovered portion of the circle and G be the number of uncovered gaps on the circle. Results are presented concerning the joint moments of V and G and the conditional distribution of V given G.

Keywords

GEOMETRICAL PROBABILITYCOVERAGE DISTRIBUTIONS
Type
Short Communications
Information
Journal of Applied Probability , Volume 25 , Issue 4 , December 1988 , pp. 833 - 838
Copyright
Copyright © Applied Probability Trust 1988 

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References

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