Normal approximation under local dependence

Details Normal approximation under local dependence Normal approximation under local dependence

2004-10-05

arxiv.org/abs/math/0410104v1

Annals of Probability 2004, Vol. 32, No. 3A, 1985-2028

Mathematics

Probability

Published by the Institute of Mathematical Statistics (http://www.imstat.org) in the Annals of Probability (http://www.imsta

Scientific paper

10.1214/009117904000000450

We establish both uniform and nonuniform error bounds of the Berry-Esseen
type in normal approximation under local dependence. These results are of an
order close to the best possible if not best possible. They are more general or
sharper than many existing ones in the literature. The proofs couple Stein's
method with the concentration inequality approach.

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