Complete convergence for weighted sums of \(\rho \ast \)-mixing random variables
type: Item
instance of: scholarly article
title: Complete convergence for weighted sums of \(\rho \ast \)-mixing random variables
zbMATH Open document ID: 1193.60045
DOI: 10.1155/2010/630608
author: Soo Hak Sung
published in: Discrete Dynamics in Nature and Society
publication date: 2010-04-26T00:00:00Z
full work available at URL: https://eudml.org/doc/233389
review text: Summary: We obtain the complete convergence for weighted sums of \(\rho ^{\ast }\)-mixing random variables. Our result extends the result of \textit{M. Peligrad} and \textit{A. Gut} [J. Theor. Probab. 12, No.~1, 87--104 (1999; Zbl 0928.60025)] on unweighted average to a weighted average under a mild condition of weights. Our result also generalizes and sharpens the result of \textit{J. An} and \textit{D. Yuan} [Stat. Probab. Lett. 78, No.~12, 1466--1472 (2008; Zbl 1155.60316)].
Mathematics Subject Classification ID: 60F15
zbMATH DE Number: 5701489
Wikidata QID: Q58650851
MaRDI profile type: Publication
OpenAlex ID: W1531538885
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description: scientific article; zbMATH DE number 5701489