Normal approximation under local dependence

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dc.creatorChen, Louis H. Y.
dc.creatorShao, Qi-Man
dc.date2004-10-05
dc.date.accessioned2026-07-07T05:12:53Z
dc.date.available2026-07-07T05:12:53Z
dc.descriptionWe 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.
dc.descriptionPublished by the Institute of Mathematical Statistics (http://www.imstat.org) in the Annals of Probability (http://www.imstat.org/aop/) at http://dx.doi.org/10.1214/009117904000000450
dc.identifierhttps://arxiv.org/abs/math/0410104
dc.identifierhttp://arxiv.org/abs/math/0410104
dc.identifierAnnals of Probability 2004, Vol. 32, No. 3A, 1985-2028
dc.identifierdoi:10.1214/009117904000000450
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72747
dc.subjectProbability
dc.subject60F05 (Primary) 60G60. (Secondary)
dc.titleNormal approximation under local dependence
dc.typetext

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