A lower bound for the normal approximation of U-statistics

Y. Maesono

doi:10.1007/BF02613314

A lower bound for the normal approximation of U-statistics

Y. Maesono

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper, the rates of convergence to the normal distribution are investigated for U-statistics. Using Stein’s method, we derive a lower bound of the uniform distance between the distributions of U-statistics and the standard normal distribution.

Original language	English
Pages (from-to)	255-274
Number of pages	20
Journal	Metrika: International Journal for Theoretical and Applied Statistics
Volume	35
Issue number	1
DOIs	https://doi.org/10.1007/BF02613314
Publication status	Published - Dec 1988
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1007/BF02613314

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A lower bound for the normal approximation of U-statistics

Abstract

All Science Journal Classification (ASJC) codes

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