Moment inequalities and complete moment convergence.
Sung, Soo Hak (2009)
Journal of Inequalities and Applications [electronic only]
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Sung, Soo Hak (2009)
Journal of Inequalities and Applications [electronic only]
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Zhou, Xing-Cai, Lin, Jin-Guan (2010)
Journal of Inequalities and Applications [electronic only]
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Zhu, Meng-Hu (2007)
Discrete Dynamics in Nature and Society
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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).
Sung, Soo Hak (2010)
Discrete Dynamics in Nature and Society
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Xuejun, Wang, Shuhe, Hu, Wenzhi, Yang, Yan, Shen (2010)
Journal of Inequalities and Applications [electronic only]
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Taylor, R.L., Patterson, R.F., Bozorgnia, A. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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Cai, Guang-Hui (2006)
Discrete Dynamics in Nature and Society
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Cai, Guang-Hui (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Wu, Qunying (2011)
Journal of Probability and Statistics
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Zhiyong Chen, Haibin Wang, Xuejun Wang, Shuhe Hu (2016)
Kybernetika
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In this paper, the strong law of large numbers for weighted sums of negatively superadditive dependent (NSD, in short) random variables is obtained, which generalizes and improves the corresponding one of Bai and Cheng ([2]) for independent and identically distributed random variables to the case of NSD random variables.