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Teoriya Veroyatnostei i ee Primeneniya, 1976, Volume 21, Issue 1, Pages 184–189 (Mi tvp3314)  
This article is cited in 6 scientific papers (total in 6 papers)

Short Communications

Asymptotic normality of sums of dependent random variables, considered by B. A. Sevast'yanov

A. S. Ambrosimov

Moscow
Full-text PDF (311 kB) Citations (6)
Abstract: Sufficient conditions are found under which the random variable
$$ (\xi-\mathbf E\xi)/\sqrt{\mathbf E\xi} $$
is asymptotically normal, where $\displaystyle\xi=\sum_1^n\eta_i$ and $\eta_i$, $i=1,\dots,n$, are weakly dependent 0–1 random variables.
Received: 12.11.1974
English version:
Theory of Probability and its Applications, 1976, Volume 21, Issue 1, Pages 183–187
DOI: https://doi.org/10.1137/1121020
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. S. Ambrosimov, “Asymptotic normality of sums of dependent random variables, considered by B. A. Sevast'yanov”, Teor. Veroyatnost. i Primenen., 21:1 (1976), 184–189; Theory Probab. Appl., 21:1 (1976), 183–187
Citation in format AMSBIB
\Bibitem{Amb76}
\by A.~S.~Ambrosimov
\paper Asymptotic normality of sums of dependent random variables, considered by B.\,A.~Sevast'yanov
\jour Teor. Veroyatnost. i Primenen.
\yr 1976
\vol 21
\issue 1
\pages 184--189
\mathnet{http://mi.mathnet.ru/tvp3314}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=410851}
\zmath{https://zbmath.org/?q=an:0368.60030}
\transl
\jour Theory Probab. Appl.
\yr 1976
\vol 21
\issue 1
\pages 183--187
\crossref{https://doi.org/10.1137/1121020}
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  • https://www.mathnet.ru/eng/tvp/v21/i1/p184
    • This publication is cited in the following 6 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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