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Teoriya Veroyatnostei i ee Primeneniya, 1982, Volume 27, Issue 4, Pages 777–783 (Mi tvp2433)  
This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

Limit theorems for products of independent random matrices with positive elements

V. L. Girko

Kiev
Full-text PDF (387 kB) Citations (3)
Abstract: We obtain necessary and sufficient conditions for the distributions of some functionals of the product of independent random matrices to converge to the normal law. The method of proof is based on a representation of Borel functions of independent random variables as a sum of uncorrelated random variables.
Received: 14.03.1979
Revised: 28.05.1981
English version:
Theory of Probability and its Applications, 1983, Volume 27, Issue 4, Pages 837–844
DOI: https://doi.org/10.1137/1127092
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. L. Girko, “Limit theorems for products of independent random matrices with positive elements”, Teor. Veroyatnost. i Primenen., 27:4 (1982), 777–783; Theory Probab. Appl., 27:4 (1983), 837–844
Citation in format AMSBIB
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\by V.~L.~Girko
\paper Limit theorems for products of independent random matrices with positive elements
\jour Teor. Veroyatnost. i Primenen.
\yr 1982
\vol 27
\issue 4
\pages 777--783
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\transl
\jour Theory Probab. Appl.
\yr 1983
\vol 27
\issue 4
\pages 837--844
\crossref{https://doi.org/10.1137/1127092}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983RU72200013}
Linking options:
  • https://www.mathnet.ru/eng/tvp2433
  • https://www.mathnet.ru/eng/tvp/v27/i4/p777
    • This publication is cited in the following 3 articles:
    1. C. C. Heyde, Wiley StatsRef: Statistics Reference Online, 2014  crossref
    2. V. L. Girko, A. I. Vladimirova, “Spectral analysis of stochastic recurrence systems of growing dimension under G-condition. Canonical equation K 91”, Random Operators and Stochastic Equations, 17:3 (2009)  crossref
    3. C. C. Heyde, Encyclopedia of Statistical Sciences, 2005  crossref
    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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