Rosenthal's inequalities for asymptotically almost negatively associated random variables under upper expectations

DOI10.1007/S11401-018-0122-4zbMath1405.60028OpenAlexW2904525813MaRDI QIDQ1713518

Yuting Lan, Ning Zhang

Publication date: 25 January 2019

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-018-0122-4

zbMATH Keywords

strong law of large numbersRosenthal's inequalitiesasymptotically almost negatively associatedupper expectations

Mathematics Subject Classification ID

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

Related Items (5)

Convergence of asymptotically almost negatively associated random variables with random coefficients ⋮ Strong limit theorems of weighted sums for extended negatively dependent random variables under sub-linear expectations ⋮ Complete moment convergence and \(L_q\) convergence for AANA random variables under sub-linear expectations ⋮ Unnamed Item ⋮ COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF AANA RANDOM VARIABLES AND ITS APPLICATION IN NONPARAMETRIC REGRESSION MODELS

Cites Work

• Unnamed Item
• Rosenthal's inequalities for independent and negatively dependent random variables under sub-linear expectations with applications
• Exponential inequalities under the sub-linear expectations with applications to laws of the iterated logarithm
• Convergence properties for asymptotically almost negatively associated sequence
• Survey on normal distributions, central limit theorem, Brownian motion and the related stochastic calculus under sublinear expectations
• Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications
• Some concepts of negative dependence
• A note on the almost sure convergence of sums of negatively dependent random variables
• Monotonic limit theorem of BSDE and nonlinear decomposition theorem of Doob-Meyer's type
• A comparison theorem on moment inequalities between negatively associated and independent random variables
• Negative association of random variables, with applications
• Maximal inequalities for partial sums of \(\rho\)-mixing sequences
• Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables
• A new comparison theorem of multidimensional BSDEs
• A strong law of large numbers for non-additive probabilities
• Multi-dimensional \(G\)-Brownian motion and related stochastic calculus under \(G\)-expectation
• A General Approach to the Strong Law of Large Numbers
• A functional central limit theorem for asymptotically negatively dependent random fields

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