Local limit theorems for finite and infinite urn models

Details Local limit theorems for finite and infinite urn models Local limit theorems for finite and infinite urn models

2006-04-18

arxiv.org/abs/math/0604397v2

Annals of Probability 2008, Vol. 36, No. 3, 992-1022

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/07-AOP350 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of

Scientific paper

10.1214/07-AOP350

Local limit theorems are derived for the number of occupied urns in general
finite and infinite urn models under the minimum condition that the variance
tends to infinity. Our results represent an optimal improvement over previous
ones for normal approximation.

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