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

## Author

**Y. V. Borovskikh** and **N. C. Weber**

## Status

Research Report 2000-14

Date: 9 June 2000

## Abstract

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

Secondary:

## Content

The paper is available in the following forms:
- TeX dvi format:
- 2000-14.dvi.gz (21kB) or
2000-14.dvi (66kB)

- PostScript:
- 2000-14.ps.gz (92kB) or
2000-14.ps (235kB)

##### To minimize network load, please choose the smaller gzipped .gz form if
and only if your browser client supports it.

Sydney Mathematics and Statistics