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Teoriya Veroyatnostei i ee Primeneniya, 1970, Volume 15, Issue 4, Pages 647–665 (Mi tvp1932)  

This article is cited in 25 scientific papers (total in 25 papers)

A nonuniform estimate of the speed of convergence in the multidimensional central limit theorem

V. I. Rotar'

Moscow
Abstract: In the paper, by the method of characteristic functions, an estimate of the convergence rate in the multi-dimensional central limit theorem is obtained. The estimate is non-uniform; it depends on the location with respect to the origin of the set the measures of which are compaired.
Received: 23.09.1969
English version:
Theory of Probability and its Applications, 1970, Volume 15, Issue 4, Pages 630–648
DOI: https://doi.org/10.1137/1115072
Bibliographic databases:
Language: Russian
Citation: V. I. Rotar', “A nonuniform estimate of the speed of convergence in the multidimensional central limit theorem”, Teor. Veroyatnost. i Primenen., 15:4 (1970), 647–665; Theory Probab. Appl., 15:4 (1970), 630–648
Citation in format AMSBIB
\Bibitem{Rot70}
\by V.~I.~Rotar'
\paper A~nonuniform estimate of the speed of convergence in the multidimensional central limit theorem
\jour Teor. Veroyatnost. i Primenen.
\yr 1970
\vol 15
\issue 4
\pages 647--665
\mathnet{http://mi.mathnet.ru/tvp1932}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=283858}
\zmath{https://zbmath.org/?q=an:0235.60026}
\transl
\jour Theory Probab. Appl.
\yr 1970
\vol 15
\issue 4
\pages 630--648
\crossref{https://doi.org/10.1137/1115072}
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  • https://www.mathnet.ru/eng/tvp/v15/i4/p647
  • This publication is cited in the following 25 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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