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Teoriya Veroyatnostei i ee Primeneniya, 1978, Volume 23, Issue 3, Pages 692–697 (Mi tvp3095)  
This article is cited in 4 scientific papers (total in 4 papers)

Short Communications

A non-classical estimate of the rate of convergence in the multidimensional central limit theorem which takes into account large deviations

S. Ya. Šorgin

Moscow
Full-text PDF (317 kB) Citations (4)
Abstract: In the paper, an estimate for the rate of convergence of sums of independent random vectors is obtained which is non-uniform and non-classical (i. e. it depends on the closeness of summand's distributions to the normal one). This estimate takes also into account the tail behaviour of summands' distributions.
Received: 24.02.1978
English version:
Theory of Probability and its Applications, 1979, Volume 23, Issue 3, Pages 667–671
DOI: https://doi.org/10.1137/1123082
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. Ya. Šorgin, “A non-classical estimate of the rate of convergence in the multidimensional central limit theorem which takes into account large deviations”, Teor. Veroyatnost. i Primenen., 23:3 (1978), 692–697; Theory Probab. Appl., 23:3 (1979), 667–671
Citation in format AMSBIB
\Bibitem{Sho78}
\by S.~Ya.~{\v S}orgin
\paper A non-classical estimate of the rate of convergence in the multidimensional central limit theorem which takes into account large deviations
\jour Teor. Veroyatnost. i Primenen.
\yr 1978
\vol 23
\issue 3
\pages 692--697
\mathnet{http://mi.mathnet.ru/tvp3095}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=509749}
\zmath{https://zbmath.org/?q=an:0395.60027}
\transl
\jour Theory Probab. Appl.
\yr 1979
\vol 23
\issue 3
\pages 667--671
\crossref{https://doi.org/10.1137/1123082}
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  • https://www.mathnet.ru/eng/tvp/v23/i3/p692
    • This publication is cited in the following 4 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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