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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 298, Pages 280–303 (Mi znsl1209)  
This article is cited in 5 scientific papers (total in 5 papers)

Small ball probability for centered Poisson process of high intensity

E. Yu. Shmileva

Saint-Petersburg State University
Full-text PDF (372 kB) Citations (5)
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Abstract: We study the limiting behavior of the probability with which the path of a centered Poisson process of high intensity gets into a small ball with a receding center. The results of this paper are restricted to the simplest case where the variation of the shift function (center of the ball) is finite. The estimates are obtained under the optimal conditions for the intensity of the process.
Received: 29.09.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 128, Issue 1, Pages 2656–2668
DOI: https://doi.org/10.1007/s10958-005-0213-0
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: E. Yu. Shmileva, “Small ball probability for centered Poisson process of high intensity”, Probability and statistics. Part 6, Zap. Nauchn. Sem. POMI, 298, POMI, St. Petersburg, 2003, 280–303; J. Math. Sci. (N. Y.), 128:1 (2005), 2656–2668
Citation in format AMSBIB
\Bibitem{Shm03}
\by E.~Yu.~Shmileva
\paper Small ball probability for centered Poisson process of high intensity
\inbook Probability and statistics. Part~6
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 298
\pages 280--303
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1209}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2038877}
\zmath{https://zbmath.org/?q=an:1074.60059}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 128
\issue 1
\pages 2656--2668
\crossref{https://doi.org/10.1007/s10958-005-0213-0}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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