RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Subscription Guidelines for authors Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Teor. Veroyatnost. i Primenen.: Year: Volume: Issue: Page: Find

 Teor. Veroyatnost. i Primenen., 2002, Volume 47, Issue 1, Pages 169–178 (Mi tvp3380)

Short Communications

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

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.

DOI: https://doi.org/10.4213/tvp3380

Full text: PDF file (977 kB)

English version:
Theory of Probability and its Applications, 2003, 47:1, 174–183

Bibliographic databases:

Citation: 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., 47:1 (2002), 169–178; Theory Probab. Appl., 47:1 (2003), 174–183

Citation in format AMSBIB
\Bibitem{Roz02} \by L.~V.~Rozovskii \paper 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 \jour Teor. Veroyatnost. i Primenen. \yr 2002 \vol 47 \issue 1 \pages 169--178 \mathnet{http://mi.mathnet.ru/tvp3380} \crossref{https://doi.org/10.4213/tvp3380} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1978706} \zmath{https://zbmath.org/?q=an:1033.60030} \transl \jour Theory Probab. Appl. \yr 2003 \vol 47 \issue 1 \pages 174--183 \crossref{https://doi.org/10.1137/S0040585X9797955X} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000183800400018} 

• http://mi.mathnet.ru/eng/tvp3380
• https://doi.org/10.4213/tvp3380
• http://mi.mathnet.ru/eng/tvp/v47/i1/p169

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Blacher R., “Central limit theorem by moments”, Statistics & Probability Letters, 77:17 (2007), 1647–1651