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Teoriya Veroyatnostei i ee Primeneniya, 1975, Volume 20, Issue 1, Pages 134–140 (Mi tvp2996)  
This article is cited in 109 scientific papers (total in 110 papers)

Short Communications

A note on the central limit theorems for dependent random variables

I. A. Ibragimov

Leningrad
Full-text PDF (440 kB) Citations (110)
Abstract: The paper contains a few limit theorems for stationary sequences $\{\xi_j\}$ under the condition $\rho(n)\to0$, where $\rho(n)$ denotes the maximal correlation coefficient between the past $\{\xi_j,j\le0\}$ and the future $\{\xi_j, j\ge n\}$ of the sequence $\{\xi_j\}$.
Received: 05.05.1974
English version:
Theory of Probability and its Applications, 1975, Volume 20, Issue 1, Pages 135–141
DOI: https://doi.org/10.1137/1120011
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. A. Ibragimov, “A note on the central limit theorems for dependent random variables”, Teor. Veroyatnost. i Primenen., 20:1 (1975), 134–140; Theory Probab. Appl., 20:1 (1975), 135–141
Citation in format AMSBIB
\Bibitem{Ibr75}
\by I.~A.~Ibragimov
\paper A~note on the central limit theorems for dependent random variables
\jour Teor. Veroyatnost. i Primenen.
\yr 1975
\vol 20
\issue 1
\pages 134--140
\mathnet{http://mi.mathnet.ru/tvp2996}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=362448}
\zmath{https://zbmath.org/?q=an:0335.60023}
\transl
\jour Theory Probab. Appl.
\yr 1975
\vol 20
\issue 1
\pages 135--141
\crossref{https://doi.org/10.1137/1120011}
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  • https://www.mathnet.ru/eng/tvp/v20/i1/p134
    • This publication is cited in the following 110 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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