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Teoriya Veroyatnostei i ee Primeneniya, 2001, Volume 46, Issue 3, Pages 535–561
DOI: https://doi.org/10.4213/tvp3900
(Mi tvp3900)
 

This article is cited in 14 scientific papers (total in 14 papers)

Multidimensional Version of a Result of Sakhanenko in the Invariance Principle for Vectors with Finite Exponential Moments. II

A. Yu. Zaitsev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract: A multidimensional version of a result of Sakhanenko for the Gaussian approximation of sequences of successive sums of independent nonidentically distributed random vectors with finite exponential moments is obtained.
Keywords: multidimensional invariance principle, strong approximation, sums of independent nonidentically distributed random vectors.
Received: 07.09.1998
English version:
Theory of Probability and its Applications, 2002, Volume 46, Issue 3, Pages 490–514
DOI: https://doi.org/10.1137/S0040585X97979123
Bibliographic databases:
Language: English
Citation: A. Yu. Zaitsev, “Multidimensional Version of a Result of Sakhanenko in the Invariance Principle for Vectors with Finite Exponential Moments. II”, Teor. Veroyatnost. i Primenen., 46:3 (2001), 535–561; Theory Probab. Appl., 46:3 (2002), 490–514
Citation in format AMSBIB
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\pages 535--561
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\jour Theory Probab. Appl.
\yr 2002
\vol 46
\issue 3
\pages 490--514
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  • https://doi.org/10.4213/tvp3900
  • https://www.mathnet.ru/eng/tvp/v46/i3/p535
  • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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