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Teoriya Veroyatnostei i ee Primeneniya, 1999, Volume 44, Issue 4, Pages 853–861
DOI: https://doi.org/10.4213/tvp1070
(Mi tvp1070)
 

This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

On the accuracy of normal approximation for the densities of sums of independent identically distributed random variables

Yu. V. Zhukov

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Abstract: The structure of the nonuniform estimate of convergence rate in the local central limit theorem for the densities of sums of independent identically distributed random variables is made more accurate. The absolute constants are written out explicitly.
Keywords: local limit theorem, nonuniform estimates, $L_p$-metric.
Received: 19.01.1998
English version:
Theory of Probability and its Applications, 2000, Volume 44, Issue 4, Pages 785–793
DOI: https://doi.org/10.1137/S0040585X9797794X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. V. Zhukov, “On the accuracy of normal approximation for the densities of sums of independent identically distributed random variables”, Teor. Veroyatnost. i Primenen., 44:4 (1999), 853–861; Theory Probab. Appl., 44:4 (2000), 785–793
Citation in format AMSBIB
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\paper On the accuracy of normal approximation for the densities of sums of independent identically distributed random variables
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\pages 853--861
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\transl
\jour Theory Probab. Appl.
\yr 2000
\vol 44
\issue 4
\pages 785--793
\crossref{https://doi.org/10.1137/S0040585X9797794X}
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  • https://doi.org/10.4213/tvp1070
  • https://www.mathnet.ru/eng/tvp/v44/i4/p853
  • This publication is cited in the following 2 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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