An extension of the Baum-Katz theorem to i.i.d. random variables with general moment conditions

DOI10.1186/S13660-015-0939-2zbMath1330.60051OpenAlexW2214605478WikidataQ59435827 ScholiaQ59435827MaRDI QIDQ903213

Jiaming Yi, Soo Hak Sung, Ping Yan Chen

Publication date: 5 January 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-015-0939-2

zbMATH Keywords

complete convergencestrong law of large numbersBaum-Katz theoremgeneral moment condition

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (3)

On the convergence for PNQD sequences with general moment conditions ⋮ Further research on complete moment convergence for moving average process of a class of random variables ⋮ Strong laws for weighted sums of \(\rho ^*\)-mixing random variables under general, moment conditions

Cites Work

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• A Baum-Katz theorem for random variables under exponential moment conditions
• Complete convergence for moving average processes associated to heavy-tailed distributions and applications
• On the strong law of large numbers for pairwise i.i.d. random variables with general moment conditions
• Convergence Rates in the Law of Large Numbers
• The Probability in the Tail of a Distribution
• Complete Convergence and the Law of Large Numbers

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