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Maximal Inequalities for Dependent Random Variables and Applications
Journal of Inequalities and Applications volume 2008, Article number: 598319 (2008)
Abstract
For a sequence of dependent square integrable random variables and a sequence of positive numbers, we establish a maximal inequality for weighted sums of dependent random variables. Applying this inequality, we obtain the almost sure convergence of and .
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Sung, S.H. Maximal Inequalities for Dependent Random Variables and Applications. J Inequal Appl 2008, 598319 (2008). https://doi.org/10.1155/2008/598319
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DOI: https://doi.org/10.1155/2008/598319