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Teoriya Veroyatnostei i ee Primeneniya, 1995, Volume 40, Issue 4, Pages 919–924 (Mi tvp3687)  
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

On conditions for convergence of sums of independent variables

A. G. Sholomitskii

Central Economics and Mathematics Institute, RAS
Full-text PDF (353 kB) Citations (1)
Abstract: The paper is devoted to nonclassical conditions for the weak convergence of distributions of sums of independent random variables to fixed distributions. The proposed conditions for sums convergence are formulated in terms of “closeness” of summands distributions to elements of expansion of a limit distribution in some integral metrics.
Keywords: nonclassical conditions for convergence, integral metrics.
Received: 07.04.1992
English version:
Theory of Probability and its Applications, 1995, Volume 40, Issue 4, Pages 786–791
DOI: https://doi.org/10.1137/1140092
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Sholomitskii, “On conditions for convergence of sums of independent variables”, Teor. Veroyatnost. i Primenen., 40:4 (1995), 919–924; Theory Probab. Appl., 40:4 (1995), 786–791
Citation in format AMSBIB
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\by A.~G.~Sholomitskii
\paper On conditions for convergence of sums of independent variables
\jour Teor. Veroyatnost. i Primenen.
\yr 1995
\vol 40
\issue 4
\pages 919--924
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\zmath{https://zbmath.org/?q=an:0862.60038}
\transl
\jour Theory Probab. Appl.
\yr 1995
\vol 40
\issue 4
\pages 786--791
\crossref{https://doi.org/10.1137/1140092}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996WD22100022}
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  • https://www.mathnet.ru/eng/tvp/v40/i4/p919
    • 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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