On Estimating Approximation Exactness for Asymptotic Expansions in Polynomial Cases

I. Yu. Osmolovskii

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

Abstract: This paper obtains the explicit estimate of a residual part for one asymptotic expansion in the central limit theorem for random variables taking values in polynomial spaces.

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

Received: 17.09.2008

DOI: 10.4213/tvp2551

 English version: Theory of Probability and its Applications, 2010, 54:1, 154–160

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