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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive
Teor. Veroyatnost. i Primenen., 2009 Volume 54, Issue 1, Pages 181–190 (Mi tvp2554)
This article is cited in 4 papers

On Asymptotic Bergström–Chebyshev Expansions

A. V. Syulyukin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: This paper considers asymptotic expansions, which define the central limit theorem precisely and are called Bergström–Chebyshev expansions. For the given expansions we obtain explicit estimators of remainders.

Keywords: central limit theorem, asymptotic expansions, approximation exactness.

Received: 15.09.2008

DOI: 10.4213/tvp2554


 English version: Theory of Probability and its Applications, 2010, 54:1, 177–187

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