Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2018, Volume 9, Issue 3, Pages 45–60
DOI: https://doi.org/10.4213/mvk262 (Mi mvk262) 		 
This article is cited in 2 scientific papers (total in 2 papers)

New estimates for the variational distance between two distributions of a sample

A. M. Zubkov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (168 kB) Citations (2)
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DOI: https://doi.org/10.4213/mvk262
Abstract: For a pair of samples consisting of i.i.d. random variables we obtain new upper and lower bounds for the total variation distance between their distributions. In cases of small distances these estimates are proportional to the total variation distance between distributions of elements of samples and the square root of the sample volume with coefficients depending on the distributions of elements of samples. The results are useful for estimates of the sample volume necessary for testing close hypotheses.
Key words: total variation distance, homogeneous samples, probabilistic inequalities, two-side estimates.
Received 11.V.2017
Bibliographic databases:
Document Type: Article
UDC: 519.213.21
Language: Russian
Citation: A. M. Zubkov, “New estimates for the variational distance between two distributions of a sample”, Mat. Vopr. Kriptogr., 9:3 (2018), 45–60
Citation in format AMSBIB
\Bibitem{Zub18}
\by A.~M.~Zubkov
\paper New estimates for the variational distance between two distributions of a sample
\jour Mat. Vopr. Kriptogr.
\yr 2018
\vol 9
\issue 3
\pages 45--60
\mathnet{http://mi.mathnet.ru/mvk262}
\crossref{https://doi.org/10.4213/mvk262}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3861646}
\elib{https://elibrary.ru/item.asp?id=35601217}
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    • 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
    		Математические вопросы криптографии
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