Complete convergence for weighted sums of -mixing random variables.
Sung, Soo Hak (2010)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “Strong laws of large numbers for arrays of rowwise -mixing random variables.”
Complete convergence for weighted sums of -mixing random variables.
On the strong laws for weighted sums of -mixing random variables.
Zhou, Xing-Cai, Tan, Chang-Chun, Lin, Jin-Guan (2011)
Journal of Inequalities and Applications [electronic only]
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Weak laws of large numbers for arrays of rowwise negatively dependent random variables.
Taylor, R.L., Patterson, R.F., Bozorgnia, A. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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Moment inequalities and complete moment convergence.
Sung, Soo Hak (2009)
Journal of Inequalities and Applications [electronic only]
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Complete convergence of weighted sums for arrays of rowwise -mixing random variables
Xinghui Wang, Xiaoqin Li, Shuhe Hu (2014)
Applications of Mathematics
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In this paper, we establish the complete convergence and complete moment convergence of weighted sums for arrays of rowwise -mixing random variables, and the Baum-Katz-type result for arrays of rowwise -mixing random variables. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of -mixing random variables is obtained. We extend and complement the corresponding results of X. J. Wang, S. H. Hu (2012).
Strong law of large numbers for -mixing sequences with different distributions.
Cai, Guang-Hui (2006)
Discrete Dynamics in Nature and Society
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The law of the iterated logarithm for exchangeable random variables.
Zhang, Hu-Ming, Taylor, Robert L. (1995)
International Journal of Mathematics and Mathematical Sciences
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Negatively dependent bounded random variable probability inequalities and the strong law of large numbers.
Amini, M., Bozorgnia, A. (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Strong laws of large numbers for arrays of row-wise independent random elements.
Taylor, Robert Lee, Hu, Tien-Chung (1987)
International Journal of Mathematics and Mathematical Sciences
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On the Brunk-Chung type strong law of large numbers for sequences of blockwise -dependent random variables
Le Van Thanh (2006)
ESAIM: Probability and Statistics
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For a sequence of blockwise -dependent random variables {≥ 1}, conditions are provided under which almost surely where {≥ 1} is a sequence of positive constants. The results are new even when . As special case, the Brunk-Chung strong law of large numbers is obtained for sequences of independent random variables. The current work also extends results of Móricz [ (1987) 709–715], and Gaposhkin [. (1994) 804–812]. The sharpness of the results is illustrated by examples. ...