A note on convergence of weighted sums of random variables
type: Item
instance of: scholarly article
title: A note on convergence of weighted sums of random variables
zbMATH Open document ID: 0583.60021
DOI: 10.1155/S0161171285000898
author: Xiang Chen Wang
author: M. Bhaskara Rao
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46016
review text: Under uniform integrability condition, some weak laws of large numbers are established for weighted sums of random variables generalizing results of Rohatgi, Pruitt and Khintchine. Some strong laws of large numbers are proved for weighted sums of pairwise independent random variables generalizing results of Jamison, Orey and Pruitt and Etemadi.
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60B12
zbMATH DE Number: 3934106
zbMATH Keywords: random elements in separable Banach spaces
zbMATH Keywords: uniform integrability
zbMATH Keywords: weak laws of large numbers
zbMATH Keywords: weighted sums of random variables
zbMATH Keywords: strong laws of large numbers
MaRDI profile type: Publication
OpenAlex ID: W2096220152
description: scientific article; zbMATH DE number 3934106