Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability
type: Item
instance of: scholarly article
title: Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability
zbMATH Open document ID: 1065.60022
author: Manuel Ordóñez Cabrera
author: Andrei Volodin
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-04-28T00:00:00Z
review text: A new concept of integrability, called \(h\)-integrability, is introduced and, under this condition, mean convergence theorems and weak laws of large numbers for weighted sums of dependent random variables are obtained.
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60B12
zbMATH DE Number: 2162028
zbMATH Keywords: Uniform integrability
zbMATH Keywords: Weighted sums
zbMATH Keywords: Integrability concerning the weights
zbMATH Keywords: Negative dependence
zbMATH Keywords: Non-positive correlation
zbMATH Keywords: \(\varphi\)-Mixing sequence
zbMATH Keywords: Random elements
zbMATH Keywords: Martingale type Banach space
reviewed by: George Stoica
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.12.025
OpenAlex ID: W2101626133
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DOI: 10.1016/J.JMAA.2004.12.025
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description: scientific article; zbMATH DE number 2162028