Laws of large numbers for residual Cesàro alpha-integrable sequences under dependence assumptions

DOI10.1016/j.spl.2008.10.008zbMath1157.60309OpenAlexW2010957248MaRDI QIDQ1007348

Bao Tao, Jun An, De-Mei Yuan

Publication date: 20 March 2009

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2008.10.008

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items (3)

Conditional limit theorems for conditionally negatively associated random variables ⋮ Laws of large numbers for Cesàro alpha-integrable random variables under dependence condition AANA or AQSI ⋮ Limiting behavior of the maximum of the partial sum for asymptotically negatively associated random variables under residual Cesáro alpha-integrability assumption

Cites Work

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• Cesàro \(\alpha\)-integrability and laws of large numbers. II
• A maximal inequality and dependent strong laws
• Cesàro \({\alpha}\)-integrability and laws of large numbers. I
• Negative association of random variables, with applications
• Laws of Large Numbers for Pairwise Independent Uniformly Integrable Random Variables
• Some Concepts of Dependence
• Some Results on the Complete and Almost Sure Convergence of Linear Combinations of Independent Random Variables and Martingale Differences
• On the $L_p$-Convergence for $n^{-1/p} S_n, 0 < p < 2^1$

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