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Matematicheskie Zametki, 1971, Volume 10, Issue 2, Pages 187–194 (Mi mzm9703)  
A lemma due to Bernshtein for sums of dependent random variables

M. N. Marushin

Kiev Institute of Civil-Aviation Engineering
Full-text PDF (659 kB)
Abstract: Sums of arbitrarily dependent random variables are investigated, and a lemma due to Bernshtein concerning the normal-distribution limit theorem is proved for such sums.
Received: 08.04.1970
English version:
Mathematical Notes, 1971, Volume 10, Issue 2, Pages 535–539
DOI: https://doi.org/10.1007/BF01822878
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: M. N. Marushin, “A lemma due to Bernshtein for sums of dependent random variables”, Mat. Zametki, 10:2 (1971), 187–194; Math. Notes, 10:2 (1971), 535–539
Citation in format AMSBIB
\Bibitem{Mar71}
\by M.~N.~Marushin
\paper A lemma due to Bernshtein for sums of dependent random variables
\jour Mat. Zametki
\yr 1971
\vol 10
\issue 2
\pages 187--194
\mathnet{http://mi.mathnet.ru/mzm9703}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=292136}
\zmath{https://zbmath.org/?q=an:0226.60041}
\transl
\jour Math. Notes
\yr 1971
\vol 10
\issue 2
\pages 535--539
\crossref{https://doi.org/10.1007/BF01822878}
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