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Teoriya Veroyatnostei i ee Primeneniya, 2000, Volume 45, Issue 4, Pages 718–738
DOI: https://doi.org/10.4213/tvp500 (Mi tvp500) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Multidimensional version of a result of Sakhanenko in the invariance principle for vectors with finite exponential moments. I

A. Yu. Zaitsev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (1126 kB) Citations (18)
DOI: https://doi.org/10.4213/tvp500
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, 2001, Volume 45, Issue 4, Pages 624–641
DOI: https://doi.org/10.1137/S0040585X97978555
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. I”, Teor. Veroyatnost. i Primenen., 45:4 (2000), 718–738; Theory Probab. Appl., 45:4 (2001), 624–641
Citation in format AMSBIB
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\jour Theory Probab. Appl.
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\pages 624--641
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  • https://doi.org/10.4213/tvp500
  • https://www.mathnet.ru/eng/tvp/v45/i4/p718
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    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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