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Teoriya Veroyatnostei i ee Primeneniya, 1978, Volume 23, Issue 2, Pages 425–429 (Mi tvp3054)  

This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

On the central limit theorem in $R^k$

V. V. Sazonov, V. G. Mirancev

Moscow
Full-text PDF (296 kB) Citations (3)
Abstract: An estimate of the rate of convergence in the central limit theorem in $R^k$ for i. i. d. summands in the spirit of [1] is obtained. The difference of the present estimate from that of [1] is in the dependence of the right side of it on the distribution of a summand. This dependence now ameliorates as the number of summands increases. In the one-dimensional case a similar result was obtained in [2].
Received: 07.06.1977
English version:
Theory of Probability and its Applications, 1979, Volume 23, Issue 2, Pages 407–411
DOI: https://doi.org/10.1137/1123047
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Sazonov, V. G. Mirancev, “On the central limit theorem in $R^k$”, Teor. Veroyatnost. i Primenen., 23:2 (1978), 425–429; Theory Probab. Appl., 23:2 (1979), 407–411
Citation in format AMSBIB
\Bibitem{SazMir78}
\by V.~V.~Sazonov, V.~G.~Mirancev
\paper On the central limit theorem in $R^k$
\jour Teor. Veroyatnost. i Primenen.
\yr 1978
\vol 23
\issue 2
\pages 425--429
\mathnet{http://mi.mathnet.ru/tvp3054}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=499075}
\zmath{https://zbmath.org/?q=an:0421.60020|0388.60023}
\transl
\jour Theory Probab. Appl.
\yr 1979
\vol 23
\issue 2
\pages 407--411
\crossref{https://doi.org/10.1137/1123047}
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  • https://www.mathnet.ru/eng/tvp/v23/i2/p425
  • This publication is cited in the following 3 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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