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Teoriya Veroyatnostei i ee Primeneniya, 1968, Volume 13, Issue 1, Pages 164–170 (Mi tvp830)  

This article is cited in 11 scientific papers (total in 11 papers)

Short Communications

On the multidimensional central limit theorem

S. M. Sadikova

Moscow Engineering Physics Institute
Abstract: Two estimations in the central limit theorem for equally distributed random vectors in $R^s$ are given. The first one involves distribution functions (for $s=2$) and is an improvement of previous results stated in [1] and [2]. The second one concerns (for arbitrary $s$) “the distance” $\rho_2$ defined as
$$ \sup_A|P(A)-Q(A)| $$
where the supremum is taken over all measurable convex sets $A\in R^s$ (cf. [5]).
Received: 23.05.1967
English version:
Theory of Probability and its Applications, 1968, Volume 13, Issue 1, Pages 164–170
DOI: https://doi.org/10.1137/1113015
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. M. Sadikova, “On the multidimensional central limit theorem”, Teor. Veroyatnost. i Primenen., 13:1 (1968), 164–170; Theory Probab. Appl., 13:1 (1968), 164–170
Citation in format AMSBIB
\Bibitem{Sad68}
\by S.~M.~Sadikova
\paper On the multidimensional central limit theorem
\jour Teor. Veroyatnost. i Primenen.
\yr 1968
\vol 13
\issue 1
\pages 164--170
\mathnet{http://mi.mathnet.ru/tvp830}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=226714}
\zmath{https://zbmath.org/?q=an:0196.20503}
\transl
\jour Theory Probab. Appl.
\yr 1968
\vol 13
\issue 1
\pages 164--170
\crossref{https://doi.org/10.1137/1113015}
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  • https://www.mathnet.ru/eng/tvp/v13/i1/p164
  • This publication is cited in the following 11 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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