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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 466, Pages 273–288 (Mi znsl6554)  
This article is cited in 2 scientific papers (total in 2 papers)

On asymptotic expansions in the “interval” CLT for sums of independent random vectors

L. V. Rozovsky

St. Petersburg Chemical-Pharmaceutical Academy, St. Petersburg, Russia
Full-text PDF (212 kB) Citations (2)
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Abstract: We investigate the remainder term taking into account the asymptotic expansions in the multidimensional central limit theorem for sum of independent random vectors. The dependence of the remainder term on the measure of hitting set is investigated.
Key words and phrases: central limit theorem, independent random vectors, volume of Borel set, asymptotic expansions.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00367
Received: 15.08.2017
Document Type: Article
UDC: 519.2
Language: Russian
Citation: L. V. Rozovsky, “On asymptotic expansions in the “interval” CLT for sums of independent random vectors”, Probability and statistics. Part 26, Zap. Nauchn. Sem. POMI, 466, POMI, St. Petersburg, 2017, 273–288
Citation in format AMSBIB
\Bibitem{Roz17}
\by L.~V.~Rozovsky
\paper On asymptotic expansions in the ``interval'' CLT for sums of independent random vectors
\inbook Probability and statistics. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 466
\pages 273--288
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6554}
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  • https://www.mathnet.ru/eng/znsl/v466/p273
    • 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
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