Weak invariance of generalized U-statistics for nonstationary absolutely regular processes
type: Item
instance of: scholarly article
title: Weak invariance of generalized U-statistics for nonstationary absolutely regular processes
zbMATH Open document ID: 0701.60025
DOI: 10.1016/0304-4149(90)90022-K
author: Michel Harel
author: Madan L. Puri
published in: Stochastic Processes and their Applications
publication date: 1990-01-01T00:00:00Z
review text: \textit{K. Yoshihara} [Z. Wahrscheinlichkeitstheor. Verw. Geb. 35, 237-252 (1976; Zbl 0314.60028)] established the weak convergence of generalized U-statistics for stationary absolutely regular variables. The present authors, using Yoshihara's method, extend this results to the non- stationary case.
Mathematics Subject Classification ID: 60F17
Mathematics Subject Classification ID: 62G30
Mathematics Subject Classification ID: 60J65
Mathematics Subject Classification ID: 62G99
zbMATH DE Number: 4149257
zbMATH Keywords: absolutely regular
zbMATH Keywords: strong mixing
zbMATH Keywords: Brownian motion
zbMATH Keywords: weak convergence of generalized U-statistics
reviewed by: Adhir K. Basu
MaRDI profile type: Publication
cites work: Q3886656
cites work: Q5560061
cites work: Q3796480
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description: scientific article; zbMATH DE number 4149257