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Teoriya Veroyatnostei i ee Primeneniya, 1994, Volume 39, Issue 2, Pages 374–394 (Mi tvp3807)  
This article is cited in 2 scientific papers (total in 2 papers)

On the limit behaviour of products of a random number of group valued i.i.d. random variables

W. Hazod

Mathematisches Institut, Universität Dortmund, Dortmund, Germany
Full-text PDF (1223 kB) Citations (2)
Abstract: The paper considers a limit behavior of a random number of independent identically distributed random variables taking values in a locally compact group $G$. In the paper the analogue of the Fahim–Gnedenko transfer theorem is proved and the inverse problem is analyzed. Analogue of these theorems are studies for some special classes of groups.
Keywords: Key words. product of a random number of independent random variables, central limit theorem, the Fahim–Gnedenko transfer theorem, locally compact group, discrete and continuous convolutional semigroups.
Received: 06.05.1993
English version:
Theory of Probability and its Applications, 1994, Volume 39, Issue 2, Pages 249–263
DOI: https://doi.org/10.1137/1139015
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: W. Hazod, “On the limit behaviour of products of a random number of group valued i.i.d. random variables”, Teor. Veroyatnost. i Primenen., 39:2 (1994), 374–394; Theory Probab. Appl., 39:2 (1994), 249–263
Citation in format AMSBIB
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\by W.~Hazod
\paper On the limit behaviour of products of a~random number of group valued i.i.d.\ random variables
\jour Teor. Veroyatnost. i Primenen.
\yr 1994
\vol 39
\issue 2
\pages 374--394
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\zmath{https://zbmath.org/?q=an:0834.60010|0830.60008}
\transl
\jour Theory Probab. Appl.
\yr 1994
\vol 39
\issue 2
\pages 249--263
\crossref{https://doi.org/10.1137/1139015}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RW81500004}
Linking options:
  • https://www.mathnet.ru/eng/tvp3807
  • https://www.mathnet.ru/eng/tvp/v39/i2/p374
    • 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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