Exactness of martingale approximation and the central limit theorem

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dc.creatorVolný, Dalibor
dc.date2008-05-08
dc.date.accessioned2026-07-07T09:37:45Z
dc.date.available2026-07-07T09:37:45Z
dc.descriptionThe article is showing sharpness of central limit theorems of Kipnis and Varadhan, Derriennic and Lin, Maxwell and Woodroofe. In the case of the CLT of Derriennic and Lin (for Markov chains with a normal operator) it is shown that the assumption of normality cannot be relaxed. In the case of the CLT of Maxwell and Woodroofe, the example of Peligrad and Utev is improved in the sense of getting a convergence to different laws.
dc.identifierhttps://arxiv.org/abs/0805.1198
dc.identifierhttp://arxiv.org/abs/0805.1198
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160571
dc.subjectProbability
dc.subject60G10, 60G42, 28D05, 60F05
dc.titleExactness of martingale approximation and the central limit theorem
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