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.
Publié le : 2008-05-15
Classification:
Occupancy problems,
random allocations,
local limit theorem,
60F05,
60C05
@article{1207749088,
author = {Hwang, Hsien-Kuei and Janson, Svante},
title = {Local limit theorems for finite and infinite urn models},
journal = {Ann. Probab.},
volume = {36},
number = {1},
year = {2008},
pages = { 992-1022},
language = {en},
url = {http://dml.mathdoc.fr/item/1207749088}
}
Hwang, Hsien-Kuei; Janson, Svante. Local limit theorems for finite and infinite urn models. Ann. Probab., Tome 36 (2008) no. 1, pp. 992-1022. http://gdmltest.u-ga.fr/item/1207749088/