A lower bound for the normal approximation of U-statistics
type: Item
instance of: scholarly article
title: A lower bound for the normal approximation of U-statistics
zbMATH Open document ID: 0655.62014
DOI: 10.1007/BF02613314
published in: Metrika
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/176189
review text: The rates of convergence to the normal distribution are investigated for U-statistics. Using \textit{C. Stein}'s method [Proc. 6th Berkeley Sympos. math. Statist. Probab., Univ. Calif., 2, 583-602 (1972; Zbl 0278.60026)], we derive a lower bound of the uniform distance between the distributions of U-statistics and the standard normal distribution.
Mathematics Subject Classification ID: 62E20
zbMATH DE Number: 4070026
zbMATH Keywords: rates of convergence to the normal distribution
zbMATH Keywords: U-statistics
zbMATH Keywords: lower bound
author: Yoshihiko Maesono
MaRDI profile type: Publication
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OpenAlex ID: W2076363084
description: scientific article; zbMATH DE number 4070026