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], 2012, Issue 2, Pages 53–65 (Mi vtpmk214)  
This article is cited in 2 scientific papers (total in 2 papers)

Probabilistic-statistical models

Rate of convergence of the distribution functions of the asumptotic normal statistics based on the samples of random size

V. E. Beningab, N. K. Galievac

a Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University
b Institute of Informatics Problems of the Russian Academy of Sciences
c Kazakhstan Branch of Lomonosov Moscow State University, Astana
Citations (2)
Abstract: In the paper general theorem concerning the rate of convergence of the distribution function of the statistics based on the sample of random size is proved. Two examples (Student distribution and Laplace distribution) are presented.
Keywords: sample of random size, asymptotic normal statistics, transfer theorem, rate of convergence, mixtures of probability laws, Laplace distribution, Student distribution.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00515-а
11-07-00112-а
11-01-12026-офи-м
Ministry of Education and Science of the Russian Federation 16.740.11.0133
Received: 17.01.2012
Revised: 24.01.2012
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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