Moment inequality for sums of multi-indexed dependent random variables

DOI10.1134/S0001434608050234zbMath1154.60015OpenAlexW2130251750MaRDI QIDQ2518040

N. Yu. Kryzhanovskaya

Publication date: 12 January 2009

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434608050234

zbMATH Keywords

Lebesgue measureLipschitz functionmoment inequalitycovariance inequalitiesreal random fieldweak association of random variables

Mathematics Subject Classification ID

Random fields (60G60) Inequalities; stochastic orderings (60E15) Inequalities for sums, series and integrals (26D15)

Cites Work

• Normal fluctuations and the FKG inequalities
• Maximal inequality for weakly dependent random fields
• Strong invariance principle for dependent random fields
• Inequalities with Applications to the Weak Convergence of Random Processes with Multi-Dimensional Time Parameters
• Normal approximation for quasi-associated random fields
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