Some strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables

DOI10.1186/1029-242X-2013-4zbMath1283.60052WikidataQ59301952 ScholiaQ59301952MaRDI QIDQ389180

Xiaofeng Tang

Publication date: 17 January 2014

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

zbMATH Keywords

weighted sumsasymptotically almost negatively associated random variablesMarcinkiewicz strong law of large numbersthree series theorem

Mathematics Subject Classification ID

Strong limit theorems (60F15)

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Cites Work

• Strong limit theorems for weighted sums of negatively associated random variables
• Limiting behavior of the maximum of the partial sum for asymptotically negatively associated random variables under residual Cesáro alpha-integrability assumption
• Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications
• 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
• Strong laws of large numbers for \(\tilde \rho \)-mixing random variables
• On the strong law of large numbers for weighted sums of random variables