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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 228, Pages 349–355 (Mi znsl3715)  

This article is cited in 9 scientific papers (total in 9 papers)

Asymptotically proper constants in Liapunov's theorem

G. P. Chistyakov

Institute for Low Temperature Physics and Engineering, Ukraine Academy of Sciences, Kharkov, Ukraine
Full-text PDF (308 kB) Citations (9)
Abstract: A new asymptotic representation for distribution function of the normalized sums of not necessary identically distributed random variables in the Liapunopv CLT is established. Asymptoticaly proper constants in the Berry–Esseen inequality are obtained. Bibl. 13 titles.
Received: 10.12.1995
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 93, Issue 3, Pages 480–483
DOI: https://doi.org/10.1007/BF02364834
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: G. P. Chistyakov, “Asymptotically proper constants in Liapunov's theorem”, Probability and statistics. Part 1, Zap. Nauchn. Sem. POMI, 228, POMI, St. Petersburg, 1996, 349–355; J. Math. Sci. (New York), 93:3 (1999), 480–483
Citation in format AMSBIB
\Bibitem{Chi96}
\by G.~P.~Chistyakov
\paper Asymptotically proper constants in Liapunov's theorem
\inbook Probability and statistics. Part~1
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 228
\pages 349--355
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3715}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1449869}
\zmath{https://zbmath.org/?q=an:0926.60025}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 93
\issue 3
\pages 480--483
\crossref{https://doi.org/10.1007/BF02364834}
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  • https://www.mathnet.ru/eng/znsl/v228/p349
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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