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Teoriya Veroyatnostei i ee Primeneniya, 1982, Volume 27, Issue 2, Pages 308–318 (Mi tvp2352)  

This article is cited in 4 scientific papers (total in 4 papers)

Non-classical estimates of the rate of convergence in the central limit theorem which take into account large deviations

S. Ya. Šorgin

Moscow
Full-text PDF (557 kB) Citations (4)
Abstract: In the paper, estimates of the convergence rate in the central limit theorem are obtained. The estimates take into account large deviations and closeness of summands' distributions to the normal one. In the paper we prove two lemmas on the convergence rate for the compositions of certain $k$-dimensional Borel measures satisfying Cramer's condition.
Received: 26.03.1980
English version:
Theory of Probability and its Applications, 1983, Volume 27, Issue 2, Pages 324–337
DOI: https://doi.org/10.1137/1127034
Bibliographic databases:
Language: Russian
Citation: S. Ya. Šorgin, “Non-classical estimates of the rate of convergence in the central limit theorem which take into account large deviations”, Teor. Veroyatnost. i Primenen., 27:2 (1982), 308–318; Theory Probab. Appl., 27:2 (1983), 324–337
Citation in format AMSBIB
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\by S.~Ya.~{\v S}orgin
\paper Non-classical estimates of the rate of convergence in the central limit theorem which take into account large deviations
\jour Teor. Veroyatnost. i Primenen.
\yr 1982
\vol 27
\issue 2
\pages 308--318
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=657925}
\zmath{https://zbmath.org/?q=an:0565.60018}
\transl
\jour Theory Probab. Appl.
\yr 1983
\vol 27
\issue 2
\pages 324--337
\crossref{https://doi.org/10.1137/1127034}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983QN71900010}
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  • https://www.mathnet.ru/eng/tvp/v27/i2/p308
  • 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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