On strong law of large numbers and growth rate for a class of random variables

DOI10.1186/1029-242X-2013-563zbMath1291.60059OpenAlexW2171048741WikidataQ59301959 ScholiaQ59301959MaRDI QIDQ2250302

Shuhe Hu, Yan Shen, Jie Yang

Publication date: 7 July 2014

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-563

zbMATH Keywords

strong law of large numbersweighted sumswith exponent 2

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (3)

Almost sure convergence for weighted sums of extended negatively dependent random variables ⋮ On a general approach to the strong laws of large numbers ⋮ On some conditions for strong law of large numbers for weighted sums of END random variables under sublinear expectations

Cites Work

• The Hàjek-Rènyi-type inequality for associated random variables
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• Maximal inequalities and an invariance principle for a class of weakly dependent random variables
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• Complete moment convergence of moving average processes under \(\varphi \)-mixing assumptions
• On the strong law of large numbers for weighted sums of random variables
• A general approach rate to the strong law of large numbers
• On the strong law of large numbers for pairwise i.i.d. random variables with general moment conditions
• Almost certain convergence in double arrays
• On the strong law of large numbers for normed weighted sums of I.I.D. random variables
• Convergence of weighted averages of independent random variables
• Almost Certain Summability of Independent, Identically Distributed Random Variables

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