L1-Convergence for Weighted Sums of Some Dependent Random Variables

DOI10.1080/07362994.2010.513671zbMath1213.60057OpenAlexW2052585239MaRDI QIDQ3068096

Manuel Ordóñez Cabrera, Andrei I. Volodin, Ping Yan Chen

Publication date: 13 January 2011

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2010.513671

zbMATH Keywords

maximal correlation coefficient\(L_1\)-convergencemixing coefficient\(h\)-integrability\(\rho^*\)-mixing coefficientCesaro uniform integrabilitypairwise lower case negatively dependent random variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items

The strong convergence properties of weighted sums for a class of dependent random variables, Moment Inequalities for $m$-NOD Random Variables and Their Applications, Weak laws of large numbers for arrays of dependent random variables, Some Limit Theorems for Arrays of Rowwise Pairwise Negatively Quadratic Dependent Random Variables

Cites Work

• A mean convergence theorem and weak law for arrays of random elements in martingale type \(p\) Banach spaces
• Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability
• Maximal inequalities for partial sums of \(\rho\)-mixing sequences
• WEAK LAWS OF LARGE NUMBERS FOR ARRAYS UNDER A CONDITION OF UNIFORM INTEGRABILITY
• On Convergence in $r$-Mean of Normalized Partial Sums
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