Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2018, Issue 3, Pages 42–57
DOI: https://doi.org/10.26456/vtpmk509 (Mi vtpmk509) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Theory of Probability and Mathematical Statistics

On asymptotic behavior of quantiles deficiencies of the distributions of statistics based on the samples with random sizes

V. E. Beningab

a Lomonosov Moscow State University, Moscow
b Institute of Informatics Problems of the Russian Academy of Sciences, Moscow
Full-text PDF (418 kB) Citations (4)
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DOI: https://doi.org/10.26456/vtpmk509
Abstract: In the paper general theorem concerning the asymptotic deficiency and asymptotic expansions of quantiles of distribution functions of statistics based on the sample with random size is proved. Two examples (sums of independent random variables and three-point symmetric distribution) are presented.
Keywords: asymptotic deficiency, quantile, sample of random size, asymptotic expansions, three-point symmetric distribution, transfer theorem.
Funding agency Grant number
Russian Foundation for Basic Research 18-07-00252
Received: 28.06.2018
Revised: 09.08.2018
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. E. Bening, “On asymptotic behavior of quantiles deficiencies of the distributions of statistics based on the samples with random sizes”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2018, no. 3, 42–57
Citation in format AMSBIB
\Bibitem{Ben18}
\by V.~E.~Bening
\paper On asymptotic behavior of quantiles deficiencies of the distributions of statistics based on the samples with random sizes
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2018
\issue 3
\pages 42--57
\mathnet{http://mi.mathnet.ru/vtpmk509}
\crossref{https://doi.org/10.26456/vtpmk509}
\elib{https://elibrary.ru/item.asp?id=35660176}
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    • This publication is cited in the following 4 articles:
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