Precise asymptotics in the Baum-Katz and Davis laws of large numbers of \(\rho\)-mixing sequences

DOI10.1007/s10114-004-0452-xzbMath1081.60515OpenAlexW2375547714MaRDI QIDQ2581241

Ye Jiang, Wei Huang, Zhang, Lixin

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0452-x

zbMATH Keywords

Baum-Katz law\(\rho\)-mixing random variablesTail probabilities

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items

Convergence rates of tail probabilities for sums under dependence assumptions, Precise asymptotics of error variance estimator in partially linear models, Precise rates in the law of the iterated logarithm under dependence assumptions, Precise rates in complete moment convergence for \(\rho \)-mixing sequences, Precise asymptotics -- a general approach, The precise asymptotics of the complete convergence for moving average processes of \(m\)-dependent \(B\)-valued elements, Precise asymptotics in the Baum-Katz and Davis laws of large numbers of \(\rho\)-mixing sequences

Cites Work

• A remark on the tail probability of a distribution
• Precise asymptotics in Spitzer's law of large numbers
• Precise asymptotics in the Baum-Katz and Davis laws of large numbers
• Maximal inequalities for partial sums of \(\rho\)-mixing sequences
• Precise asymptotics in the Baum-Katz and Davis laws of large numbers of \(\rho\)-mixing sequences
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item