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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 320, Pages 120–128 (Mi znsl601)  
This article is cited in 12 scientific papers (total in 12 papers)

Sharp small ball asymptotics for Slepian and Watson processes in Hilbert norm

Ya. Yu. Nikitina, E. Orsingherb

a St. Petersburg State University, Department of Mathematics and Mechanics
b Saint-Petersburg State University
Full-text PDF (180 kB) Citations (12)
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Abstract: We find the exact asymptotic behavior of small ball probabilities in Hilbert norm for the simplest form of Slepian process and for the Watson process appearing in nonparametric Statistics.
Received: 20.11.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 137, Issue 1, Pages 4555–4560
DOI: https://doi.org/10.1007/s10958-006-0250-3
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: Ya. Yu. Nikitin, E. Orsingher, “Sharp small ball asymptotics for Slepian and Watson processes in Hilbert norm”, Probability and statistics. Part 8, Zap. Nauchn. Sem. POMI, 320, POMI, St. Petersburg, 2004, 120–128; J. Math. Sci. (N. Y.), 137:1 (2006), 4555–4560
Citation in format AMSBIB
\Bibitem{NikOrs04}
\by Ya.~Yu.~Nikitin, E.~Orsingher
\paper Sharp small ball asymptotics for Slepian and Watson processes in Hilbert norm
\inbook Probability and statistics. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 320
\pages 120--128
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl601}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2115871}
\zmath{https://zbmath.org/?q=an:1084.60023}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 137
\issue 1
\pages 4555--4560
\crossref{https://doi.org/10.1007/s10958-006-0250-3}
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  • https://www.mathnet.ru/eng/znsl/v320/p120
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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