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Teoriya Veroyatnostei i ee Primeneniya, 2002, Volume 47, Issue 1, Pages 169–178
DOI: https://doi.org/10.4213/tvp3380 (Mi tvp3380) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

Saint-Petersburg Chemical-Pharmaceutical Academy
Full-text PDF (977 kB) Citations (1)
DOI: https://doi.org/10.4213/tvp3380
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
English version:
Theory of Probability and its Applications, 2003, Volume 47, Issue 1, Pages 174–183
DOI: https://doi.org/10.1137/S0040585X9797955X
Bibliographic databases:
Document Type: Article
Language: Russian
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
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\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.
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\issue 1
\pages 169--178
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\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{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000183800400018}
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  • https://www.mathnet.ru/eng/tvp3380
  • https://doi.org/10.4213/tvp3380
  • https://www.mathnet.ru/eng/tvp/v47/i1/p169
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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