On the exponential inequality for acceptable random variables

DOI10.1186/1029-242X-2011-40zbMath1268.60026OpenAlexW2143870481WikidataQ59269217 ScholiaQ59269217MaRDI QIDQ352265

Qingwu Gao, Yawei Li, Yue-bao Wang

Publication date: 4 July 2013

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2011-40

zbMATH Keywords

exponential inequalityacceptable random variablesPetrov exponentwidely acceptable random variables

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

Related Items (10)

Conditional acceptability of random variables ⋮ Complete convergence for weighted sums of WNOD random variables and its applications ⋮ General theorems on exponential and Rosenthal's inequalities and on complete convergence ⋮ Complete convergence and complete moment convergence for widely negative orthant dependent random variables under the sub-linear expectations ⋮ Complete moment convergence for negatively dependent sequences of random variables ⋮ Almost sure convergence for weighted sums of WNOD random variables and its applications to non parametric regression models ⋮ Some inequalities for absolute moments of feasible acceptable random variables ⋮ Some exponential inequalities for negatively orthant dependent random variables ⋮ Complete convergence for widely acceptable random variables under the sublinear expectations ⋮ Exponential probability inequalities for WNOD random variables and their applications

Cites Work

• Basic renewal theorems for random walks with widely dependent increments
• A note on the exponential inequality for a class of dependent random variables
• Exponential inequality for negatively associated random variables
• Precise large deviations for dependent random variables with heavy tails
• Some concepts of negative dependence
• Negative association of random variables, with applications
• On the exponential inequalities for strictly stationary and negatively associated random variables
• Convergence of series of dependent \(\varphi \)-sub-Gaussian random variables
• A remark on the exponential inequality for negatively associated random variables
• The Strong Law of Large Numbers for Extended Negatively Dependent Random Variables
• ON THE EXPONENTIAL INEQUALITY FOR NEGATIVE DEPENDENT SEQUENCE
• Some Concepts of Dependence

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