On the complete moment convergence of weighted sums of ρ^*-mixing random variables

DOI10.7153/jmi-2019-13-13zbMath1483.60048OpenAlexW2923485984MaRDI QIDQ5223506

Wenhua Lv, Meimei Ge, Yong-Feng Wu

Publication date: 18 July 2019

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2019-13-13

zbMATH Keywords

complete convergenceweighted sumscomplete moment convergence\(\rho^*\)-mixing random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the strong laws for weighted sums of \(\rho^*\)-mixing random variables
• On complete convergence for arrays of rowwise weakly dependent random variables
• Moment inequalities and complete moment convergence
• On the spectral density and asymptotic normality of weakly dependent random fields
• Strong laws of large numbers for weighted sums of random elements in normed linear spaces
• Almost sure convergence for \(\tilde{\rho}\)-mixing random variable sequences
• Maximal inequalities and an invariance principle for a class of weakly dependent random variables
• Equivalent conditions of complete moment convergence of weighted sums for \(\rho^\ast\)-mixing sequence of random variables
• A note on the rates of convergence for weighted sums of \(\rho^\ast\)-mixing random variables
• On the strong convergence for weighted sums of \(\rho ^{*}\)-mixing random variables
• Some general strong laws for weighted sums of stochastically dominated random variables
• Convergence Rates in the Law of Large Numbers
• Complete Convergence and the Law of Large Numbers