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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 228, Pages 349–355
(Mi znsl3715)
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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
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
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
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https://www.mathnet.ru/eng/znsl3715 https://www.mathnet.ru/eng/znsl/v228/p349
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