Previous article Next article On the Minimal Condition of Weak Dependency in the Central Limit Theorem for Stationary SequencesA. G. Grin'A. G. Grin'https://doi.org/10.1137/S0040585X97979925PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractA minimal (in a certain sense) condition of weak dependency for stationary sequences is suggested which provides the validity of the central limit theorem.[1] Google Scholar[2] Google Scholar[3] Google Scholar[4] M. Denker, Uniform integrability and the central limit theorem for strongly mixing processes, Progr. Probab. Statist., 11 (1986), pp. 269–274. Google Scholar[5] A. G. Grin’, Domains of attraction for mixing sequences, Siberian Math. J., 31 (1990), pp. 43–52. au4 SMTJAW 0037-4466 Sib. Math. J. CrossrefGoogle Scholar[6] Google ScholarKeywordsstationary sequencesweak dependency conditionscentral limit theorem Previous article Next article FiguresRelatedReferencesCited ByDetails On Minimal Conditions of the Weak Dependence in Limit Theorems for Stationary SequencesA. G. Grin'Theory of Probability & Its Applications, Vol. 54, No. 2 | 21 May 2010AbstractPDF (173 KB)Distance between nonidentically weakly dependent random vectors and Gaussian random vectors under the bounded Lipschitz metricStatistics & Probability Letters, Vol. 75, No. 3 | 1 Dec 2005 Cross Ref Volume 47, Issue 3| 2003Theory of Probability & Its Applications377-565 History Published online:25 July 2006 InformationCopyright © 2003 Society for Industrial and Applied MathematicsKeywordsstationary sequencesweak dependency conditionscentral limit theoremPDF Download Article & Publication DataArticle DOI:10.1137/S0040585X97979925Article page range:pp. 506-510ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics