Complete convergence for \(B\)-valued \(L^p\)-mixingale sequences
type: Item
instance of: scholarly article
title: Complete convergence for \(B\)-valued \(L^p\)-mixingale sequences
zbMATH Open document ID: 0928.60017
DOI: 10.1155/S0161171298001045
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2000-01-09T00:00:00Z
full work available at URL: https://eudml.org/doc/48313
review text: This paper is concerned with complete convergence for partial sums and randomly indexed partial sums of Banach valued mixingale sequences for which the Banach space satisfies a certain kind of smoothness condition. Section 1 provides sufficient conditions for complete convergence of sums in terms of tail probability conditions on the summands. Section 2 provides extensions to the case of a random indexing.
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60B12
zbMATH DE Number: 1230052
zbMATH Keywords: complete convergence
zbMATH Keywords: mixingale sequence
zbMATH Keywords: Banach space
author: Han-Ying Liang
author: Yaofeng Ren
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1230052