Sharp estimates of the rate of convergence for U-statistics
Yuri V. Borovskikh
Research Report 98-21
Date: 6 August 1998
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.
U-statistics. central limit theorem. rates of convergence.
AMS Subject Classification (1991)
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Sydney Mathematics and Statistics