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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 408, Pages 175–186 (Mi znsl5499)  
This article is cited in 2 scientific papers (total in 2 papers)

On the approximation of convolutions by accompanying laws in the scheme of series

A. Yu. Zaitsevab

a St. Petersburg State University, St. Petersburg, Russia
b St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia
Full-text PDF (229 kB) Citations (2)
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Abstract: The problem of the approximation of convolutions by accompanying laws in the scheme of series satisfying the infinitesimality condition is considered. It is shown that the quality of approximation depends essentially on the choice of centering constants.
Key words and phrases: scheme of series, approximation, accompanying laws, compound Poisson distributions, sums of independent random vectors.
Received: 02.11.2012
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 199, Issue 2, Pages 162–167
DOI: https://doi.org/10.1007/s10958-014-1843-x
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: A. Yu. Zaitsev, “On the approximation of convolutions by accompanying laws in the scheme of series”, Probability and statistics. Part 18, Zap. Nauchn. Sem. POMI, 408, POMI, St. Petersburg, 2012, 175–186; J. Math. Sci. (N. Y.), 199:2 (2014), 162–167
Citation in format AMSBIB
\Bibitem{Zai12}
\by A.~Yu.~Zaitsev
\paper On the approximation of convolutions by accompanying laws in the scheme of series
\inbook Probability and statistics. Part~18
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 408
\pages 175--186
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5499}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3032215}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 199
\issue 2
\pages 162--167
\crossref{https://doi.org/10.1007/s10958-014-1843-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902285919}
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  • https://www.mathnet.ru/eng/znsl/v408/p175
    • 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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