Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoriya Veroyatnostei i ee Primeneniya, 2004, Volume 49, Issue 1, Pages 197–204
DOI: https://doi.org/10.4213/tvp247 (Mi tvp247) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

Refined large deviations for von Mises statistics

P. Eichelsbacher

Ruhr-Universität Bochum
Full-text PDF (996 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tvp247
Abstract: We give sufficient conditions for the large deviations principle of real valued von Mises statistics, improving previous results. As a consequence we obtain sufficient conditions for the large deviations principle for Banach space valued $U$-statistics, improving previous results as well. The proofs are based on large deviations results for stochastic processes due to Arcones and a spectral decomposition of the kernel function of the von Mises statistic and the $U$-statistic, respectively.
Keywords: large deviations, $U$-statistics, von Mises statistics, stochastic processes.
Received: 02.09.2002
English version:
Theory of Probability and its Applications, 2005, Volume 49, Issue 1, Pages 139–148
DOI: https://doi.org/10.1137/S0040585X9798097X
Bibliographic databases:
Document Type: Article
Language: English
Citation: P. Eichelsbacher, “Refined large deviations for von Mises statistics”, Teor. Veroyatnost. i Primenen., 49:1 (2004), 197–204; Theory Probab. Appl., 49:1 (2005), 139–148
Citation in format AMSBIB
\Bibitem{Eic04}
\by P.~Eichelsbacher
\paper Refined large deviations for von Mises
statistics
\jour Teor. Veroyatnost. i Primenen.
\yr 2004
\vol 49
\issue 1
\pages 197--204
\mathnet{http://mi.mathnet.ru/tvp247}
\crossref{https://doi.org/10.4213/tvp247}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2141341}
\zmath{https://zbmath.org/?q=an:1094.60015}
\transl
\jour Theory Probab. Appl.
\yr 2005
\vol 49
\issue 1
\pages 139--148
\crossref{https://doi.org/10.1137/S0040585X9798097X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000228185300010}
Linking options:
  • https://www.mathnet.ru/eng/tvp247
  • https://doi.org/10.4213/tvp247
  • https://www.mathnet.ru/eng/tvp/v49/i1/p197
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
    Statistics & downloads:
    Abstract page:300
    Full-text PDF :185
    References:53
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024