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.

Key phrases

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

AMS Subject Classification (1991)

Primary: 60F05


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