Mean convergence theorems and weak laws of large numbers for double arrays of random variables
type: Item
instance of: scholarly article
title: Mean convergence theorems and weak laws of large numbers for double arrays of random variables
zbMATH Open document ID: 1124.60024
author: Le Van Thanh
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 2007-03-19T00:00:00Z
review text: For an array of random variables indexed by two sequences of positive integers, this paper establishes first a mean convergence theorem for its weighted sum. A theorem for the weak laws of large numbers is also established for the weighted double sums of the array with random indices. Several examples are given to illustrate that the conditions in these theorems cannot be in general relaxed.
reviewed by: Dongsheng Tu
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60F25
zbMATH DE Number: 5134588
zbMATH Keywords: double arrays
zbMATH Keywords: Lp convergence
zbMATH Keywords: weak laws of large numbers
zbMATH Keywords: weighted sum
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5134588