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August, 1982 A Berry-Esseen Bound for an Occupancy Problem
M. P. Quine, J. Robinson
Ann. Probab. 10(3): 663-671 (August, 1982). DOI: 10.1214/aop/1176993775

Abstract

A Berry-Esseen bound is given for the rate of convergence to normality of the number of empty boxes when balls are distributed independently and at random to boxes with possibly unequal probabilities. The method of proof uses the equivalence of this distribution to a certain conditional distribution based on independent Poisson random variables. Then methods based on the characteristic function of this conditional distribution are used to obtain the result.

Citation

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M. P. Quine. J. Robinson. "A Berry-Esseen Bound for an Occupancy Problem." Ann. Probab. 10 (3) 663 - 671, August, 1982. https://doi.org/10.1214/aop/1176993775

Information

Published: August, 1982
First available in Project Euclid: 19 April 2007

zbMATH: 0493.60034
MathSciNet: MR659536
Digital Object Identifier: 10.1214/aop/1176993775

Subjects:
Primary: 60F05

Keywords: Berry-Esseen bound , central limit theorem , occupancy problems , rate of convergence

Rights: Copyright © 1982 Institute of Mathematical Statistics

Vol.10 • No. 3 • August, 1982
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