Hájek-Rényi inequality for \(m\)-asymptotically almost negatively associated random vectors in Hilbert space and applications

DOI10.1186/s13660-018-1671-5zbMath1497.60039OpenAlexW2797885852WikidataQ55225847 ScholiaQ55225847MaRDI QIDQ824516

Mi-Hwa Ko

Publication date: 15 December 2021

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

Full work available at URL: https://doi.org/10.1186/s13660-018-1671-5

zbMATH Keywords

strong law of large numbersHilbert spacemixing coefficientsasymptotically almost negative associationHájek-Rényi inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Stationary stochastic processes (60G10) Strong limit theorems (60F15)

Related Items (1)

Some strong laws of large numbers, L₂-convergence and complete convergence for m-AANA random vectors in Hilbert space

Cites Work

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• Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables
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• Strong convergence for sequences of asymptotically almost negatively associated random variables
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• Generalization of an inequality of Kolmogorov

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