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Teoriya Veroyatnostei i ee Primeneniya, 1995, Volume 40, Issue 4, Pages 888–897 (Mi tvp3682)  
This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

Limit theorems for the scheme of series for weakly dependent variables

A. G. Grin'

Omsk State University
Full-text PDF (554 kB) Citations (2)
Abstract: The paper provides necessary and sufficient conditions for convergence of distributions of sums of weakly dependent random variables to the preassigned infinitely divisible distributions. Given in terms of individual summands and so-called normalizing sequences, the results obtained extend to the series scheme their counterparts established previously for stationary sequences.
Keywords: scheme of series, infinitely divisible distributions, weakly dependent variables, conditions of strong mixing, uniformly strong mixing and $\lambda$-mixing.
Received: 16.03.1992
English version:
Theory of Probability and its Applications, 1995, Volume 40, Issue 4, Pages 756–764
DOI: https://doi.org/10.1137/1140087
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Grin', “Limit theorems for the scheme of series for weakly dependent variables”, Teor. Veroyatnost. i Primenen., 40:4 (1995), 888–897; Theory Probab. Appl., 40:4 (1995), 756–764
Citation in format AMSBIB
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\by A.~G.~Grin'
\paper Limit theorems for the scheme of series for weakly dependent variables
\jour Teor. Veroyatnost. i Primenen.
\yr 1995
\vol 40
\issue 4
\pages 888--897
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\zmath{https://zbmath.org/?q=an:0863.60021}
\transl
\jour Theory Probab. Appl.
\yr 1995
\vol 40
\issue 4
\pages 756--764
\crossref{https://doi.org/10.1137/1140087}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996WD22100017}
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  • https://www.mathnet.ru/eng/tvp/v40/i4/p888
    • This publication is cited in the following 2 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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