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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 341, Pages 115–123 (Mi znsl136)  
This article is cited in 1 scientific paper (total in 1 paper)

Estimation of constants for the right-hand inequalities of Marcinkiewicz and Rosenthal

V. A. Egorov

Saint-Petersburg State Electrotechnical University
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Abstract: Some optimal asymptotic estimates of constants for the right-hand inequalities of Marcinkiewicz and Rosenthal are derived. This estimates imply some new inequalities for the rate of increasing of sums and optimal right-hand estimates for the law of the iterated logarithm. Similar estimates are derived for self-normolized sums.
Received: 14.11.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 147, Issue 4, Pages 6912–6917
DOI: https://doi.org/10.1007/s10958-007-0513-7
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: V. A. Egorov, “Estimation of constants for the right-hand inequalities of Marcinkiewicz and Rosenthal”, Probability and statistics. Part 11, Zap. Nauchn. Sem. POMI, 341, POMI, St. Petersburg, 2007, 115–123; J. Math. Sci. (N. Y.), 147:4 (2007), 6912–6917
Citation in format AMSBIB
\Bibitem{Ego07}
\by V.~A.~Egorov
\paper Estimation of constants for the right-hand inequalities of Marcinkiewicz and Rosenthal
\inbook Probability and statistics. Part~11
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 341
\pages 115--123
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl136}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2363587}
\zmath{https://zbmath.org/?q=an:1121.60014}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 147
\issue 4
\pages 6912--6917
\crossref{https://doi.org/10.1007/s10958-007-0513-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-36049039545}
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  • https://www.mathnet.ru/eng/znsl/v341/p115
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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