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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 200–206 (Mi semr480)  
Probability theory and mathematical statistics

On exponential inequalities for V-statistics with unbounded kernels

P. S. Ruzankinab

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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Abstract: Exponential inequalities for V-statistics are obtained under weaker conditions than that in known results for canonical V-statistics (see Borisov (1991)). In particular, the observations independence condition is weakened and the new inequalities do not require the existence of a factorizable majorant for the kernel.
Keywords: von Mises' statistic, exponential inequality.
Received February 3, 2014, published March 3, 2014
Document Type: Article
UDC: 519.21
MSC: 60E15
Language: Russian
Citation: P. S. Ruzankin, “On exponential inequalities for V-statistics with unbounded kernels”, Sib. Èlektron. Mat. Izv., 11 (2014), 200–206
Citation in format AMSBIB
\Bibitem{Ruz14}
\by P.~S.~Ruzankin
\paper On exponential inequalities for V-statistics with unbounded kernels
\jour Sib. \`Elektron. Mat. Izv.
\yr 2014
\vol 11
\pages 200--206
\mathnet{http://mi.mathnet.ru/semr480}
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