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Teoriya Veroyatnostei i ee Primeneniya, 1982, Volume 27, Issue 4, Pages 757–766 (Mi tvp2430)  
This article is cited in 11 scientific papers (total in 11 papers)

A central limit theorem for a sequence of random variables with slowly growing number of dependences

M. B. Petrovskaya, A. M. Leontovič

Moscow
Full-text PDF (609 kB) Citations (11)
Abstract: We prove a CLT for a sequence of random variables only some of which are dependent. As a consequence we obtain a CLT for random variables characterising the set of the moments of the cell's division in the $m^{th}$ ($m\to\infty$) generation of a specific branching process. The last problem is connected with biological models of cell populations.
Received: 20.12.1977
Revised: 28.04.1980
English version:
Theory of Probability and its Applications, 1983, Volume 27, Issue 4, Pages 815–825
DOI: https://doi.org/10.1137/1127089
Bibliographic databases:
Language: Russian
Citation: M. B. Petrovskaya, A. M. Leontovič, “A central limit theorem for a sequence of random variables with slowly growing number of dependences”, Teor. Veroyatnost. i Primenen., 27:4 (1982), 757–766; Theory Probab. Appl., 27:4 (1983), 815–825
Citation in format AMSBIB
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\by M.~B.~Petrovskaya, A.~M.~Leontovi{\v{c}}
\paper A~central limit theorem for a~sequence of random variables with slowly growing number of dependences
\jour Teor. Veroyatnost. i Primenen.
\yr 1982
\vol 27
\issue 4
\pages 757--766
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=681466}
\zmath{https://zbmath.org/?q=an:0559.60069|0518.60091}
\transl
\jour Theory Probab. Appl.
\yr 1983
\vol 27
\issue 4
\pages 815--825
\crossref{https://doi.org/10.1137/1127089}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983RU72200010}
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    • This publication is cited in the following 11 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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