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Teoriya Veroyatnostei i ee Primeneniya, 1963, Volume 8, Issue 1, Pages 89–94 (Mi tvp4650)  

This article is cited in 69 scientific papers (total in 70 papers)

Short Communications

A Central Limit Theorem for a Class of Dependent Random Variables

I. A. Ibragimov

Leningrad
Abstract: Random variables $x_1,x_2\ldots$ with the conditions $\mathbf{E}\{x_i | x_{j-1},\ldots\}$ are considered and two theorems on the normal convergence of sums $\sum_1^n x_j$ are established.
Received: 17.08.1961
English version:
Theory of Probability and its Applications, 1963, Volume 8, Issue 1, Pages 83–89
DOI: https://doi.org/10.1137/1108007
Document Type: Article
Language: Russian
Citation: I. A. Ibragimov, “A Central Limit Theorem for a Class of Dependent Random Variables”, Teor. Veroyatnost. i Primenen., 8:1 (1963), 89–94; Theory Probab. Appl., 8:1 (1963), 83–89
Citation in format AMSBIB
\Bibitem{Ibr63}
\by I.~A.~Ibragimov
\paper A~Central Limit Theorem for a~Class of Dependent Random Variables
\jour Teor. Veroyatnost. i Primenen.
\yr 1963
\vol 8
\issue 1
\pages 89--94
\mathnet{http://mi.mathnet.ru/tvp4650}
\transl
\jour Theory Probab. Appl.
\yr 1963
\vol 8
\issue 1
\pages 83--89
\crossref{https://doi.org/10.1137/1108007}
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  • https://www.mathnet.ru/eng/tvp/v8/i1/p89
  • This publication is cited in the following 70 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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