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 4, Pages 5–22
DOI: https://doi.org/10.26456/vtpmk514 (Mi vtpmk514) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Theory of Probability and Mathematical Statistics

On the power of criteria in the case of samples of random size

V. E. Beningab

a Lomonosov Moscow State University, Moscow
b Institute of Informatics Problems of the Russian Academy of Sciences, Moscow
Full-text PDF (424 kB) Citations (18)
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DOI: https://doi.org/10.26456/vtpmk514
Abstract: In the paper general theorem concerning the asymptotic expansions for the generalized power of the tests based on the sample with random size is proved. These results are closed connected with the concept of asymptotic deficiency and may be used for asymptotic comparison of different asymptotically equivalent tests. Some examples are presented.
Keywords: power of test, asymptotic deficiency, sample of random size, asymptotic expansions, three-point symmetric distribution.
Funding agency Grant number
Russian Foundation for Basic Research 18-07-00252-а
Received: 01.11.2018
Revised: 03.12.2018
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. E. Bening, “On the power of criteria in the case of samples of random size”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2018, no. 4, 5–22
Citation in format AMSBIB
\Bibitem{Ben18}
\by V.~E.~Bening
\paper On the power of criteria in the case of samples of random size
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2018
\issue 4
\pages 5--22
\mathnet{http://mi.mathnet.ru/vtpmk514}
\crossref{https://doi.org/10.26456/vtpmk514}
\elib{https://elibrary.ru/item.asp?id=36609906}
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    • This publication is cited in the following 18 articles:
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    		Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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