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

The paper is available in the following forms:

TeX dvi format:: 1998-21.dvi.gz (56kB) or 1998-21.dvi (196kB)
PostScript:: 1998-21.ps.gz (174kB) or 1998-21.ps (487kB)

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

Sydney Mathematics and Statistics