The law of iterated logarithm for a class of random variables satisfying Rosenthal type inequality

DOI10.3934/math.2021642OpenAlexW3192249132MaRDI QIDQ2671125

Haichao Yu, Yong Zhang

Publication date: 3 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021642

zbMATH Keywords

law of the iterated logarithmBerry-Esseen boundsRosenthal type inequality

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Probability inequalities for END sequence and their applications
• A note on the rate of convergence in the strong law of large numbers for martingales
• Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications
• A comparison theorem on moment inequalities between negatively associated and independent random variables
• Maximal inequalities and an invariance principle for a class of weakly dependent random variables
• Rosenthal-type inequalities for the maximum of partial sums of stationary processes and examples
• Complete moment convergence of moving average processes under \(\varphi \)-mixing assumptions
• Applications of the Rosenthal-type inequality for negatively superadditive dependent random variables
• Law of iterated logarithm for NA sequences with non-identical distributions
• Inequalities of maximum of partial sums and weak convergence for a class of weak dependent random variables
• Convergence rates of the strong law for stationary mixing sequences
• A general law of iterated logarithm
• A note on the Borel-Cantelli lemma

This page was built for publication: The law of iterated logarithm for a class of random variables satisfying Rosenthal type inequality