Some exponential inequalities for acceptable random variables and complete convergence

DOI10.1186/1029-242X-2011-142zbMath1276.60020WikidataQ59255420 ScholiaQ59255420MaRDI QIDQ366118

Aiting Shen, Shuhe Hu, Xue-jun Wang, Andrei I. Volodin

Publication date: 11 September 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

complete convergenceexponential inequalityacceptable random variables

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Strong limit theorems (60F15)

Related Items

Conditional acceptability of random variables, General theorems on exponential and Rosenthal's inequalities and on complete convergence, Upper and lower bounds of large deviations for some dependent sequences

Cites Work

• A note on the exponential inequality for a class of dependent random variables
• Negative association of random variables, with applications
• Exponential inequalities and inverse moment for NOD sequence
• Convergence of series of dependent \(\varphi \)-sub-Gaussian random variables
• A remark on the exponential inequality for negatively associated random variables
• Some Concepts of Dependence
• Complete Convergence and the Law of Large Numbers
• On a Theorem of Hsu and Robbins