|
Short Communications
Refined large deviations for von Mises
statistics
P. Eichelsbacher Ruhr-Universität Bochum
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.
DOI:
https://doi.org/10.4213/tvp247
Full text:
PDF file (996 kB)
References:
PDF file
HTML file
English version:
Theory of Probability and its Applications, 2005, 49:1, 139–148
Bibliographic databases:
Received: 02.09.2002
Language:
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://www.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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000228185300010}
Linking options:
http://mi.mathnet.ru/eng/tvp247https://doi.org/10.4213/tvp247 http://mi.mathnet.ru/eng/tvp/v49/i1/p197
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
|
Number of views: |
This page: | 139 | Full text: | 46 | References: | 25 |
|