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Teoriya Veroyatnostei i ee Primeneniya, 1970, Volume 15, Issue 2, Pages 243–253 (Mi tvp1770)  
This article is cited in 1 scientific paper (total in 1 paper)

On asymptotics of large deviation probabilities of sums $\Sigma f(x2^n)$

D. A. Moskvin

Kazan'
Full-text PDF (443 kB) Citations (1)
Abstract: In the paper, large deviations in limit theorems for sums $\sum_nf(x2^n)$ where $f(t)$ satisfies a Lipschitz condition, are investigated. A result is obtained for the narrow zone $[0,o((N/\ln^2N)^{1/4})]$. For the particular case $f(t)=\{t\}$ by a special method, a result for $[0,o(\sqrt N)]$ is obtained.
Received: 29.02.1968
English version:
Theory of Probability and its Applications, 1970, Volume 15, Issue 2, Pages 229–240
DOI: https://doi.org/10.1137/1115030
Bibliographic databases:
Language: Russian
Citation: D. A. Moskvin, “On asymptotics of large deviation probabilities of sums $\Sigma f(x2^n)$”, Teor. Veroyatnost. i Primenen., 15:2 (1970), 243–253; Theory Probab. Appl., 15:2 (1970), 229–240
Citation in format AMSBIB
\Bibitem{Mos70}
\by D.~A.~Moskvin
\paper On asymptotics of large deviation probabilities of sums~$\Sigma f(x2^n)$
\jour Teor. Veroyatnost. i Primenen.
\yr 1970
\vol 15
\issue 2
\pages 243--253
\mathnet{http://mi.mathnet.ru/tvp1770}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=275496}
\zmath{https://zbmath.org/?q=an:0206.19403}
\transl
\jour Theory Probab. Appl.
\yr 1970
\vol 15
\issue 2
\pages 229--240
\crossref{https://doi.org/10.1137/1115030}
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  • https://www.mathnet.ru/eng/tvp/v15/i2/p243
    • This publication is cited in the following 1 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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