Complete moment convergence of weighted sums for arrays of rowwise \(\varphi\)-mixing random variables

DOI10.1155/2012/730962zbMath1253.60050DBLPjournals/ijmmsc/Guo12OpenAlexW1966597068WikidataQ58705024 ScholiaQ58705024MaRDI QIDQ456560

Mingle Guo

Publication date: 16 October 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/730962

zbMATH Keywords

weighted sumscomplete moment convergencearrays of row-wise \(\varphi\)-mixing random variablesmoving average processes

Mathematics Subject Classification ID

Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) (L^p)-limit theorems (60F25)

Related Items (2)

Complete convergence of weighted sums for arrays of rowwise \(\varphi \)-mixing random variables. ⋮ Equivalent Conditions of Complete Moment Convergence of Weighted Sums for ϕ-Mixing Sequence of Random Variables

Cites Work

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• Complete moment convergence of moving average processes under dependence assumptions
• Complete convergence and Cesàro summation for i.i.d. random variables
• On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements with application to moving average processes
• Limiting behaviour of moving average processes under \(\varphi \)-mixing assumption
• A strong law of large numbers for arrays of rowwise negatively dependent random variables
• Convergence Rates in the Law of Large Numbers
• Complete Convergence and the Law of Large Numbers
• On a Theorem of Hsu and Robbins

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