Some asymptotic results for trimmed \(U\)-statistics
type: Item
instance of: scholarly article
title: Some asymptotic results for trimmed \(U\)-statistics
zbMATH Open document ID: 0949.62036
DOI: 10.1007/BF02465815
published in: Lithuanian Mathematical Journal
publication date: 2000-07-19T00:00:00Z
review text: Weak and strong representations are proved for two classes of trimmed \(U\)-statistics. The results improve the orders of the remainder terms given by \textit{I. Gijbels, P. Janssen} and \textit{N. Veraverbeke} [Probab. Theory Relat. Fields 77, No. 2, 179-194 (1988; Zbl 0621.60034)] under the same or weaker conditions.
Mathematics Subject Classification ID: 62G20
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 1465957
zbMATH Keywords: trimmed U-statistics
zbMATH Keywords: asymptotic representation
zbMATH Keywords: rate of convergence
author: A. Aleškevičienė
reviewed by: Neville Weber
MaRDI profile type: Publication
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cites work: Approximation Theorems of Mathematical Statistics
cites work: Generalized L-, M-, and R-statistics
full work available at URL: https://doi.org/10.1007/bf02465815
OpenAlex ID: W2319387915
description: scientific article; zbMATH DE number 1465957