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Teoriya Veroyatnostei i ee Primeneniya, 2004, Volume 49, Issue 2, Pages 365–373
DOI: https://doi.org/10.4213/tvp226 (Mi tvp226) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Short Communications

On self-normalized sums and Student's statistic

S. Yu. Novak

Novosibirsk Institute of Engineers for Geodesy, Aerial Phototopography and Cartography
Full-text PDF (902 kB) Citations (7)
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DOI: https://doi.org/10.4213/tvp226
Abstract: We evaluate the accuracy of normal approximation for the distributions of some non-linear functionals of sums of random vectors. A Berry–Esseen-type inequality with explicit constants for the distribution of Student's statistic is established as a consequence of the main result.
Keywords: self-normalized sums, Student's statistic, Berry–Esseen inequality.
Received: 15.10.2001
English version:
Theory of Probability and its Applications, 2005, Volume 49, Issue 2, Pages 336–344
DOI: https://doi.org/10.1137/S0040585X97981081
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. Yu. Novak, “On self-normalized sums and Student's statistic”, Teor. Veroyatnost. i Primenen., 49:2 (2004), 365–373; Theory Probab. Appl., 49:2 (2005), 336–344
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v49/i2/p365
    • This publication is cited in the following 7 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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