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Rates of Poisson convergence for some coverage and urn problems using coupling

Published online by Cambridge University Press:  14 July 2016

L. Holst ,
J. E. Kennedy  and
M. P. Quine
L. Holst*
Affiliation:
Uppsala University
J. E. Kennedy*
Affiliation:
Uppsala University
M. P. Quine*
Affiliation:
University of Sydney
*
∗Postal address: Department of Mathematics, Thunbergsv. 3, S-75238, Uppsala University, Sweden.
∗∗Postal address: Department of Mathematical Statistics, University of Sydney, NSW 2006, Australia.
∗∗Postal address: Department of Mathematical Statistics, University of Sydney, NSW 2006, Australia.
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Abstract

Bounds on the rate of convergence measured by the variation distance are obtained for the number of large spacings and for two occupancy problems connected with multinomial and Pólya sampling. The bounds are derived by imbedding techniques together with the elementary coupling inequality.

Keywords

VARIATION DISTANCESPACINGSCOUPLINGCIRCLE COVERAGEOCCUPANCY PROBLEMSMULTINOMIAL SAMPLINGPÓLYA SAMPLING
Type
Research Papers
Information
Journal of Applied Probability , Volume 25 , Issue 4 , December 1988 , pp. 717 - 724
Copyright
Copyright © Applied Probability Trust 1988 

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