Complete convergence of weighted sums for arrays of rowwise \(\varphi \)-mixing random variables.
type: Item
instance of: scholarly article
title: Complete convergence of weighted sums for arrays of rowwise \(\varphi \)-mixing random variables.
zbMATH Open document ID: 1340.60045
author: Xinghui Wang
author: Xiaoqin Li
author: Shuhe Hu
published in: Applications of Mathematics
publication date: 2015-01-27T00:00:00Z
full work available at URL: http://hdl.handle.net/10338.dmlcz/143932
review text: The authors consider arrays of rowwise \(\varphi\)-mixing random variables and study necessary and sufficient conditions under which weighted sums of such random variables converge completely and satisfy also the complete moment convergence. Using the standard technique, they establish a variant of the Baum-Katz-type theorem for these arrays of weakly dependent random variables and generalize some recent results in this field (see [\textit{X.-J. Wang} and \textit{S.-H. Hu}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 106, No. 1, 321--331 (2012; Zbl 1266.60056)]).
reviewed by: Zuzana Prášková
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 60F99
Mathematics Subject Classification ID: 60B10
zbMATH DE Number: 6391452
zbMATH Keywords: \(\varphi\)-mixing sequence
zbMATH Keywords: complete convergence
zbMATH Keywords: Marcinkiewicz-Zygmund strong law of large numbers
MaRDI profile type: Publication
OpenAlex ID: W2467719028
cites work: On the complete convergence of weighted sums for arrays of negatively associated variables
cites work: Retracted: Convergence of weighted sums for arrays of negatively dependent random variables and its applications.
cites work: Convergence Rates in the Law of Large Numbers
cites work: On Complete Convergence for Arrays of Row-Wise Negatively Associated Random Variables
cites work: Q5325305
cites work: Q3269536
cites work: On a Theorem of Hsu and Robbins
cites work: Complete moment convergence of weighted sums for arrays of rowwise \(\varphi\)-mixing random variables
cites work: Complete Convergence and the Law of Large Numbers
cites work: COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE INDEPENDENT RANDOM VARIABLES
cites work: Complete convergence of weighted sums for \(\rho *\)-mixing sequence of random variables
cites work: On complete convergence for arrays
cites work: On complete convergence for arrays of rowwise dependent random variables
cites work: On complete convergence for arrays of rowwise negatively associated random variables
cites work: Convergence rates of the strong law for stationary mixing sequences
cites work: Almost-sure results for a class of dependent random variables
cites work: Complete convergence for weighted sums of arrays of Banach-space-valued random elements
cites work: Q3476066
cites work: Baum-Katz-Nagaev type results for martingales
cites work: A note on the rate of convergence in the strong law of large numbers for martingales
cites work: On complete convergence for weighted sums of arrays of dependent random variables
cites work: More on complete convergence for arrays
cites work: Some Baum-Katz type results for \({\varphi}\)-mixing random variables with different distributions
cites work: On complete convergence for weighted sums of \(\varphi \)-mixing random variables
cites work: Convergence rates in the strong law of large numbers for martingale difference sequences
cites work: On complete convergence of weighted sums for arrays of rowwise asymptotically almost negatively associated random variables
cites work: A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables
cites work: The strong law of large numbers for \(B\)-valued random fields
cites work: On complete convergence for arrays of rowwise \(\rho \)-mixing random variables and its applications
DOI: 10.1007/S10492-014-0073-3
description: scientific article; zbMATH DE number 6391452