On mean central limit theorems for stationary sequences

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dc.creatorDedecker, Jérôme
dc.creatorRio, Emmanuel
dc.date2008-08-22
dc.date.accessioned2026-07-07T09:57:56Z
dc.date.available2026-07-07T09:57:56Z
dc.descriptionIn this paper, we give estimates of the minimal ${\mathbb{L}}^1$ distance between the distribution of the normalized partial sum and the limiting Gaussian distribution for stationary sequences satisfying projective criteria in the style of Gordin or weak dependence conditions.
dc.descriptionPublished in at http://dx.doi.org/10.1214/07-AIHP117 the Annales de l'Institut Henri Poincaré - Probabilités et Statistiques (http://www.imstat.org/aihp/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0808.3048
dc.identifierhttp://arxiv.org/abs/0808.3048
dc.identifierAnnales de l'Institut Henri Poincaré - Probabilités et Statistiques 2008, Vol. 44, No. 4, 693-726
dc.identifierdoi:10.1214/07-AIHP117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167530
dc.subjectProbability
dc.titleOn mean central limit theorems for stationary sequences
dc.typetext

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