Sufficient and necessary conditions of complete convergence for weighted sums of \(\tilde\rho\)-mixing random variables
type: Item
instance of: scholarly article
title: Sufficient and necessary conditions of complete convergence for weighted sums of \(\tilde\rho\)-mixing random variables
zbMATH Open document ID: 1406.60046
DOI: 10.1155/2014/612140
author: Chongfeng Lan
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: The equivalent conditions of complete convergence are established for weighted sums of \(\tilde\rho\)-mixing random variables with different distributions. Our results extend and improve the Baum and Katz complete convergence theorem. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequence of \(\tilde\rho\)-mixing random variables is obtained.
Mathematics Subject Classification ID: 60F15
zbMATH DE Number: 7010699
Wikidata QID: Q59053791
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/612140
OpenAlex ID: W2081364568
description: scientific article; zbMATH DE number 7010699