Strong convergence for sequences of asymptotically almost negatively associated random variables

DOI10.1080/17442508.2013.775289zbMath1312.60024OpenAlexW2034013789MaRDI QIDQ2875268

Aiting Shen, Ran Chao Wu

Publication date: 14 August 2014

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2013.775289

zbMATH Keywords

complete convergenceMarcinkiewicz-Zygmund strong law of large numbersasymptotically almost negatively associated random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15)

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Cites Work

• On complete convergence of moving average process for AANA sequence
• Convergence properties for asymptotically almost negatively associated sequence
• Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications
• A note on the almost sure convergence of sums of negatively dependent random variables
• Laws of large numbers for Cesàro alpha-integrable random variables under dependence condition AANA or AQSI
• Negative association of random variables, with applications
• Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables
• The strong law of large numbers for weighted averages under dependence assumptions
• Complete Convergence and the Law of Large Numbers