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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 298, Pages 111–125 (Mi znsl1156)  
This article is cited in 11 scientific papers (total in 11 papers)

On approximation of the sample by a Poisson point process

A. Yu. Zaitsev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (225 kB) Citations (11)
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Abstract: It is shown that the results obtained earlier for the rate of approximation of convolutions of probability distributions by accompanying infinitely divisible laws may be interpreted as estimates of the rate of approximation of the sample by a Poisson point process. The most interesting results are obtained for a scheme of rare events.
Received: 22.06.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 128, Issue 1, Pages 2556–2563
DOI: https://doi.org/10.1007/s10958-005-0202-3
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: A. Yu. Zaitsev, “On approximation of the sample by a Poisson point process”, Probability and statistics. Part 6, Zap. Nauchn. Sem. POMI, 298, POMI, St. Petersburg, 2003, 111–125; J. Math. Sci. (N. Y.), 128:1 (2005), 2556–2563
Citation in format AMSBIB
\Bibitem{Zai03}
\by A.~Yu.~Zaitsev
\paper On approximation of the sample by a~Poisson point process
\inbook Probability and statistics. Part~6
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 298
\pages 111--125
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1156}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2038866}
\zmath{https://zbmath.org/?q=an:1086.60029}
\elib{https://elibrary.ru/item.asp?id=14563167}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 128
\issue 1
\pages 2556--2563
\crossref{https://doi.org/10.1007/s10958-005-0202-3}
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  • https://www.mathnet.ru/eng/znsl/v298/p111
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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