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NON-UNIFORM CONVERGENCE RATES FOR DISTRIBUTIONS OF U-STATISTICS

Hen X

1983Mathematics被引 4

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摘要

H. Callaert and P. Jaussen have obtained in [1] the best uniform convergence rate O(1/n~(1/2) for the distribations of U-statistics, under the sole assumptioa that the third moment of the kernel is finite. In this article, we get the ideal non-uniform convergence rate O(1/n_(1/2)(1+ |x|)~3]), under the same assumption.

引用本文（GB/T 7714）

Hen X. NON-UNIFORM CONVERGENCE RATES FOR DISTRIBUTIONS OF U-STATISTICS[J]. 未知来源, 1983.

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