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Teoriya Veroyatnostei i ee Primeneniya, 2012, Volume 57, Issue 4, Pages 649–666
DOI: https://doi.org/10.4213/tvp4472 (Mi tvp4472) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Nonimprovable estimates for asymptotic expansions in the central limit theorem

V. V. Senatov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.4213/tvp4472
Abstract: We obtain new asymptotic expansions in the central limit theorem with explicit estimates of the approximation accuracy, which are guaranteed by the expansions. For some of these estimates the statement about their nonimprovability is valid.
Keywords: central limit theorem; asymptotic expansions; accuracy of approximation.
Received: 15.11.2011
English version:
Theory of Probability and its Applications, 2013, Volume 57, Issue 4, Pages 633–648
DOI: https://doi.org/10.1137/S0040585X97986187
Bibliographic databases:
Document Type: Article
MSC: 60F05
Language: Russian
Citation: V. V. Senatov, “Nonimprovable estimates for asymptotic expansions in the central limit theorem”, Teor. Veroyatnost. i Primenen., 57:4 (2012), 649–666; Theory Probab. Appl., 57:4 (2013), 633–648
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v57/i4/p649
    • 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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