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 Teor. Veroyatnost. i Primenen.: Year: Volume: Issue: Page: Find

 Teor. Veroyatnost. i Primenen., 1970, Volume 15, Issue 2, Pages 370–372 (Mi tvp1848)

Short Communications

On the speed of convergence in the multi-dimensional central limit theorem

V. I. Rotar'

Moscow

Abstract: In the paper by the method of characteristic functions, an estimate of the rate of convergence in the multidimensional central limit theorem for a sequence of nonindenticaly distributed random vectors with finite third moments is obtained. The estimate is nonuniform, i.e. the dependence on the type of the set is given.

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English version:
Theory of Probability and its Applications, 1970, 15:2, 354–356

Bibliographic databases:

Citation: V. I. Rotar', “On the speed of convergence in the multi-dimensional central limit theorem”, Teor. Veroyatnost. i Primenen., 15:2 (1970), 370–372; Theory Probab. Appl., 15:2 (1970), 354–356

Citation in format AMSBIB
\Bibitem{Rot70} \by V.~I.~Rotar' \paper On the speed of convergence in the multi-dimensional central limit theorem \jour Teor. Veroyatnost. i Primenen. \yr 1970 \vol 15 \issue 2 \pages 370--372 \mathnet{http://mi.mathnet.ru/tvp1848} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=283857} \zmath{https://zbmath.org/?q=an:0209.49701} \transl \jour Theory Probab. Appl. \yr 1970 \vol 15 \issue 2 \pages 354--356 \crossref{https://doi.org/10.1137/1115044}