Maximal, non-uniform spacings and the coverage problem

Maximal, non-uniform spacings and the coverage problem

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Article ID: iaor1988714
Country: Israel
Volume: 25
Issue: 3
Start Page Number: 519
End Page Number: 528
Publication Date: Sep 1988
Journal: Journal of Applied Probability
Authors:
Abstract:

The spacings have been widely applied to many situations, such as for example the coverage problem of the circle or the line, under the hypothesis of uniformity. The paper examines the asymptotic behaviour of the maximal spacings under non-uniformity, assuming that the existing density f has a minimum point m with f(m)=0. The results are applied to the coverage of the circle by randomly placed arcs.

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