Large Deviation Results for a U-statistical Sum with Product Kernel


Y. V. Borovskikh and N. C. Weber


Research Report 2000-14
Date: 9 June 2000


Large deviation theorems are proved for non-degenerate U-statistical sums of degree m with kernel h(x(1),..,x(m))= x(1)...x(m) under the Cramer condition (Theorem 1) and under the Linnik condition (Theorem 2). The method of proof uses truncation and the contraction technique.

Key phrases

Cramer condition. large deviations. U-statistics.

AMS Subject Classification (1991)

Primary: 60F10


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