An invariance principle for reduced U-statistics
type: Item
instance of: scholarly article
title: An invariance principle for reduced U-statistics
zbMATH Open document ID: 0606.62036
DOI: 10.1007/BF01894745
published in: Metrika
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/176048
review text: The reduced U-statistics are considered. After suitable normalization a random element of the Skorokhod space D[0,1] is obtained. Sufficient conditions for tightness and weak convergence of \(\{W_ n\}\) to a Gaussian random element of D[0,1] are given.
Mathematics Subject Classification ID: 62G05
Mathematics Subject Classification ID: 60F17
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 3980239
zbMATH Keywords: invariance principle
zbMATH Keywords: reduced U-statistics
zbMATH Keywords: Skorokhod space
zbMATH Keywords: Sufficient conditions
zbMATH Keywords: tightness
zbMATH Keywords: weak convergence
author: Norbert Herrndorf
reviewed by: Jarosław Bartoszewicz
MaRDI profile type: Publication
cites work: Q5560061
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cites work: Weak Convergence of $U$-Statistics and Von Mises' Differentiable Statistical Functions
description: scientific article; zbMATH DE number 3980239