# Sharp estimates of the rate of convergence for U-statistics

## Author

**Yuri V. Borovskikh**

## Status

Research Report 98-21

Date: 6 August 1998

## Abstract

The rate of convergence for non-degenerate U-statistics
of n i.i.d. random variables is investigated in the conditions of the
central limit theorem. The basic result sharpens and improves earlier results
of many papers devoted to this problem for such random sums.

## Key phrases

U-statistics. central limit theorem. rates of convergence.

## AMS Subject Classification (1991)

Primary: 60F05

Secondary:

## Content

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Sydney Mathematics and Statistics