L. V. Rozovskii, “An estimate from below of the remainder in the central limit theorem for a sum of independent random variables with finite moments of a high order”, Teor. Veroyatnost. i Primenen., 2002, Volume 47, Issue 1,Pages <nobr>169

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An estimate from below of the remainder in the central limit theorem for a sum of independent random variables with finite moments of a high order

L. V. Rozovskii

Saint-Petersburg Chemical-Pharmaceutical Academy

Abstract: This paper finds optimal estimates from below for a distance between a distribution function of a sum of independent random variables with finite moments of a high order and the standard normal distribution function.

Keywords: sum of independent random variables, central limit theorem, estimate from below.

Received: 26.10.1999

DOI: 10.4213/tvp3380