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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 311, Pages 242–259 (Mi znsl800)  
This article is cited in 6 scientific papers (total in 6 papers)

Sums of independent random variables with finite variances – moderate deviations and nonuniform bounds in the CLT

L. V. Rozovskii

Saint-Petersburg Chemical-Pharmaceutical Academy
Full-text PDF (219 kB) Citations (6)
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Abstract: In the paper the new nonuniform bounds in the CLT for sums of independent random variables with finite variances are contained. Some simple and sharp nonasymptotic upper bounds for large deviation probabilities of the sums are derived. The results obtained are applied to refine the known conditions and to find the new ones under which the large deviation theorems in the series scheme are true.
Received: 25.06.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 133, Issue 3, Pages 1345–1355
DOI: https://doi.org/10.1007/s10958-006-0045-6
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: L. V. Rozovskii, “Sums of independent random variables with finite variances – moderate deviations and nonuniform bounds in the CLT”, Probability and statistics. Part 7, Zap. Nauchn. Sem. POMI, 311, POMI, St. Petersburg, 2004, 242–259; J. Math. Sci. (N. Y.), 133:3 (2006), 1345–1355
Citation in format AMSBIB
\Bibitem{Roz04}
\by L.~V.~Rozovskii
\paper Sums of independent random variables with finite variances~-- moderate deviations and nonuniform bounds in the CLT
\inbook Probability and statistics. Part~7
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 311
\pages 242--259
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl800}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2092212}
\zmath{https://zbmath.org/?q=an:1074.60033}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 133
\issue 3
\pages 1345--1355
\crossref{https://doi.org/10.1007/s10958-006-0045-6}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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