Some probability inequalities for a class of random variables and their applications

DOI10.1186/1029-242X-2013-57zbMath1302.60043OpenAlexW2154781922WikidataQ59301791 ScholiaQ59301791MaRDI QIDQ395798

Aiting Shen, Ran Chao Wu

Publication date: 30 January 2014

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-57

zbMATH Keywords

complete convergenceexponential inequalitylaw of large numbersacceptable random variablesnegative orthant dependence

Mathematics Subject Classification ID

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

Related Items (5)

Conditional acceptability of random variables ⋮ Inequalities for acceptable noncommutative random variables ⋮ Henry-Gronwall integral inequalities with ``maxima and their applications to fractional differential equations ⋮ Upper and lower bounds of large deviations for some dependent sequences ⋮ Some exponential inequalities for negatively orthant dependent random variables

Cites Work

• On the exponential inequalities for negatively dependent random variables
• An exponential inequality for a NOD sequence and a strong law of large numbers
• A note on the exponential inequality for a class of dependent random variables
• Negative association of random variables, with applications
• A bound on tail probabilities for quadratic forms in independent random variables whose distributions are not necessarily symmetric
• 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
• Exponential inequalities and complete convergence for a LNQD sequence
• A Bound on Tail Probabilities for Quadratic Forms in Independent Random Variables

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