Limiting behavior of the maximum of the partial sum for linearly negative quadrant dependent random variables under residual Cesàro alpha-integrability assumption

DOI10.1155/2012/735973zbMath1258.60029OpenAlexW2019094283WikidataQ58907256 ScholiaQ58907256MaRDI QIDQ411086

Qunying Wu, Jiang-Feng Wang

Publication date: 4 April 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/735973

zbMATH Keywords

complete convergence\(L_p\)-convergenceresidual Cesàro alpha-integrability

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Cites Work

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• Limiting behaviors of weighted sums for linearly negative quadrant dependent random variables
• A Berry-Esseen theorem for weakly negatively dependent random variables and its applications
• EXPONENTIAL PROBABILITY INEQUALITY FOR LINEARLY NEGATIVE QUADRANT DEPENDENT RANDOM VARIABLES
• Laws of Large Numbers for Pairwise Independent Uniformly Integrable Random Variables
• Some Concepts of Dependence
• Complete Convergence and the Law of Large Numbers
• A functional central limit theorem for asymptotically negatively dependent random fields

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