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The moments of coverage of a linear set

Published online by Cambridge University Press:  14 July 2016

Irwin Greenberg
Irwin Greenberg*
Affiliation:
Mathtech, Inc.
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Abstract

A number of points are chosen at random along a line segment and used as the left end-points of lengths of fixed size. Finite sum expressions are derived for the moments of the portion of the line segment covered by one or more of the lengths. The derivation utilizes a relationship between the coverage and the busy time in an M/D/∞ queue.

Keywords

LINEAR SETCOVERAGEMOMENTS
Type
Short Communications
Information
Journal of Applied Probability , Volume 17 , Issue 3 , September 1980 , pp. 865 - 868
Copyright
Copyright © Applied Probability Trust 1980 

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References

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