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Teoriya Veroyatnostei i ee Primeneniya, 2001, Volume 46, Issue 2, Pages 381–383
DOI: https://doi.org/10.4213/tvp3927 (Mi tvp3927) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

On the Law of the Iterated Logarithm for Operator Normed Sums of Random Vectors

V. A. Koval'

National Technical University of Ukraine "Kiev Polytechnic Institute"
Full-text PDF (383 kB) Citations (1)
DOI: https://doi.org/10.4213/tvp3927
Abstract: This paper proves the law of the iterated logarithm for sums of random vectors in $\mathbf{R}^k$ normed by linear operators of general type. We suppose that the sequence of the random vectors satisfies Strassen's invariance principle.
Keywords: law of the iterated logarithm, almost sure invariance principle, operator normed sums of random vectors.
Received: 09.08.1999
English version:
Theory of Probability and its Applications, 2002, Volume 46, Issue 2, Pages 366–368
DOI: https://doi.org/10.1137/S0040585X97978993
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Koval', “On the Law of the Iterated Logarithm for Operator Normed Sums of Random Vectors”, Teor. Veroyatnost. i Primenen., 46:2 (2001), 381–383; Theory Probab. Appl., 46:2 (2002), 366–368
Citation in format AMSBIB
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\jour Teor. Veroyatnost. i Primenen.
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\pages 381--383
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\transl
\jour Theory Probab. Appl.
\yr 2002
\vol 46
\issue 2
\pages 366--368
\crossref{https://doi.org/10.1137/S0040585X97978993}
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  • https://www.mathnet.ru/eng/tvp3927
  • https://doi.org/10.4213/tvp3927
  • https://www.mathnet.ru/eng/tvp/v46/i2/p381
    • This publication is cited in the following 1 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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