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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 2001 Volume 46, Issue 2, Pages 383–386 (Mi tvp3928)

This article is cited in 4 papers

Short Communications

The Relation Between a Rate of Convergence of Moments of Normed Sums and the Chebyshev–Hermite Models

A. E. Kondratenko

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

Abstract: This paper obtains an expression of ordinary moments via the Chebyshev–Hermite moments. This result is used in the problem of the rate of convergence in the central limit theorem.

Keywords: central limit theorem, rate of convergence, moments, Chebyshev–Hermite moments.

Received: 25.07.2000

DOI: 10.4213/tvp3928


 English version:
Theory of Probability and its Applications, 2002, 46:2, 352–355

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