Complete convergence theorems for \(L^{p}\)-mixingales.
type: Item
instance of: scholarly article
title: Complete convergence theorems for \(L^{p}\)-mixingales.
zbMATH Open document ID: 1040.60023
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-03-14T00:00:00Z
review text: Various theorems are proved concerning sufficient conditions for the complete convergence of sums (or random sums) of Banach space-valued \({\mathcal L}^p\)-mixingales. These results generalize and extend some of the author's earlier work [Int. J. Math. Math. Sci. 24, 737--747 (2000; Zbl 0972.60016)] and suggest easier assumptions. In a particular setup, some necessary conditions are also discussed.
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60G42
Mathematics Subject Classification ID: 60G48
zbMATH DE Number: 2055378
zbMATH Keywords: complete convergence
zbMATH Keywords: \(q\)-smooth Banach space
zbMATH Keywords: \({\mathcal L}^p\)-mixingale
author: Yijun Hu
reviewed by: J. G. Steinebach
MaRDI profile type: Publication
full work available at URL: j.jmaa.2003.09.076
OpenAlex ID: W2053660870
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DOI: 10.1016/J.JMAA.2003.09.076
description: scientific article; zbMATH DE number 2055378