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Teoriya Veroyatnostei i ee Primeneniya, 1997, Volume 42, Issue 4, Pages 818–820
DOI: https://doi.org/10.4213/tvp2609 (Mi tvp2609) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Short Communications

On the convergence of distributions of random sums of independent random variables to stable laws

V. Yu. Korolev

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (197 kB) Citations (10)
DOI: https://doi.org/10.4213/tvp2609
Abstract: The paper gives the necessary and sufficient conditions for convergence of distributions of random sums of independent random variables to strictly stable laws.
Keywords: stable laws, Lindeberg condition, random sums.
Received: 10.06.1997
English version:
Theory of Probability and its Applications, 1998, Volume 42, Issue 4, Pages 695–696
DOI: https://doi.org/10.1137/S0040585X97976544
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. Yu. Korolev, “On the convergence of distributions of random sums of independent random variables to stable laws”, Teor. Veroyatnost. i Primenen., 42:4 (1997), 818–820; Theory Probab. Appl., 42:4 (1998), 695–696
Citation in format AMSBIB
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\jour Teor. Veroyatnost. i Primenen.
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\pages 818--820
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\zmath{https://zbmath.org/?q=an:0911.60006|0908.60004}
\transl
\jour Theory Probab. Appl.
\yr 1998
\vol 42
\issue 4
\pages 695--696
\crossref{https://doi.org/10.1137/S0040585X97976544}
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  • https://doi.org/10.4213/tvp2609
  • https://www.mathnet.ru/eng/tvp/v42/i4/p818
    • This publication is cited in the following 10 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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