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Bounds for coverage probabilities with applications to sequential coverage problems

Published online by Cambridge University Press:  14 July 2016

Peter J. Cooke
Peter J. Cooke*
Affiliation:
University of New South Wales
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Abstract

This paper discusses general bounds for coverage probabilities and moments of stopping rules for sequential coverage problems in geometrical probability. An approach to the study of the asymptotic behaviour of these moments is also presented.

Keywords

STOPPING RULESEQUENTIAL COVERAGESTIRLING NUMBERSASYMPTOTIC BEHAVIOUR
Type
Research Papers
Information
Journal of Applied Probability , Volume 11 , Issue 2 , June 1974 , pp. 281 - 293
Copyright
Copyright © Applied Probability Trust 1974 

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References

Flatto, L. and Konheim, A. G. (1962) The random division of an interval and the random covering of a circle. Siam Review 4, 221–222.CrossRefGoogle Scholar
Jordan, C. (1947) Calculus of Finite Differences. Chelsea, New York.Google Scholar
Miles, R. E. (1969) Asymptotic coverage and concentration probabilities for Poisson spheres. (Abstract) Ann. Math. Statist. 40, 1160.Google Scholar
Miles, R. E. (1970) On the homogeneous planar Poisson point process. Math. Biosci. 6, 85–127.CrossRefGoogle Scholar
Stevens, W. L. (1939) Solution to a geometrical problem in probability. Ann. Eugen. Lond. 9, 315–320.CrossRefGoogle Scholar
Votaw, D. F. Jr. (1946) The probability distribution of the measure of a random linear set. Ann. Math. Statist. 17, 240–244.CrossRefGoogle Scholar