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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 412, Pages 109–120 (Mi znsl5643)  
This article is cited in 2 scientific papers (total in 2 papers)

Functional central limit theorem for excursion set volumes of quasi-associated random fields

V. P. Demichev

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (252 kB) Citations (2)
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Abstract: Stationary quasi-associated random fields with continuous covariance function are considered. Recently Bulinski, Spodarev, and Timmermann proved a central limit theorem for the excursion set volumes of such random fields. We establish a functional version of this theorem.
Key words and phrases: excursion sets, quasi-association, functional limit theorem.
Received: 26.02.2013
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 204, Issue 1, Pages 69–77
DOI: https://doi.org/10.1007/s10958-014-2187-2
Bibliographic databases:
Document Type: Article
UDC: 519.214.6
Language: Russian
Citation: V. P. Demichev, “Functional central limit theorem for excursion set volumes of quasi-associated random fields”, Probability and statistics. Part 19, Zap. Nauchn. Sem. POMI, 412, POMI, St. Petersburg, 2013, 109–120; J. Math. Sci. (N. Y.), 204:1 (2015), 69–77
Citation in format AMSBIB
\Bibitem{Dem13}
\by V.~P.~Demichev
\paper Functional central limit theorem for excursion set volumes of quasi-associated random fields
\inbook Probability and statistics. Part~19
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 412
\pages 109--120
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5643}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3073540}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 204
\issue 1
\pages 69--77
\crossref{https://doi.org/10.1007/s10958-014-2187-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925506095}
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  • https://www.mathnet.ru/eng/znsl/v412/p109
    • 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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