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Large deviation results for a U-statistical sum with product kernel

Published online by Cambridge University Press:  17 April 2009

Y. V. Borovskikh  and
N. C. weber
Y. V. Borovskikh
Affiliation:
Department of Applied Mathematics, Transport University, 190031, St. Petersburg, Russia, e-mail: borovski@spb.cityline.ru
N. C. weber
Affiliation:
School of Mathematics and Statistics, F07, University of Sydney, New South Wales 2006, Australia, e-mail: neville@matns.usyd.edu.au
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Abstract

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Large deviation theorems are proved for non-degenerate U-statistical sums of degree m with kernel h (x1, …, xm) = x1 … xm under the Cramér condition and under the Linnik condition. The method of proof uses truncation and the contraction technique.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 63 , Issue 1 , February 2001 , pp. 151 - 165
Copyright
Copyright © Australian Mathematical Society 2001

References

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