Some results concerning random arcs on the circle

Some results concerning random arcs on the circle

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Article ID: iaor1989316
Country: United Kingdom
Volume: 25
Issue: 4
Start Page Number: 833
End Page Number: 838
Publication Date: Dec 1988
Journal: Journal of Applied Probability
Authors:
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.

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