EUDML | Complete convergence for weighted sums of -mixing random variables.

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Displaying similar documents to “Complete convergence for weighted sums of $ρ *$ -mixing random variables.”

Strong laws of large numbers for arrays of rowwise $ρ^{*}$ -mixing random variables.

Zhu, Meng-Hu (2007)

Discrete Dynamics in Nature and Society

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Complete convergence of weighted sums for arrays of rowwise $ϕ$ -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 $ϕ$ -mixing random variables, and the Baum-Katz-type result for arrays of rowwise $ϕ$ -mixing random variables. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of $ϕ$ -mixing random variables is obtained. We extend and complement the corresponding results of X. J. Wang, S. H. Hu (2012).

On the strong laws for weighted sums of $ρ^{*}$ -mixing random variables.

Zhou, Xing-Cai, Tan, Chang-Chun, Lin, Jin-Guan (2011)

Journal of Inequalities and Applications [electronic only]

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Strong law of large numbers for $ρ^{*}$ -mixing sequences with different distributions.

Cai, Guang-Hui (2006)

Discrete Dynamics in Nature and Society

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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 for weighted sums of sequences of negatively dependent random variables.

Wu, Qunying (2011)

Journal of Probability and Statistics

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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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Some strong limit theorems for weighted product sums of $\tilde{ρ}$ -mixing sequences of random variables.

Wu, Qunying, Jiang, Yuanying (2009)

Journal of Inequalities and Applications [electronic only]

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On complete convergence for weighted sums of $ϕ$ -mixing random variables.

Xuejun, Wang, Shuhe, Hu, Wenzhi, Yang, Yan, Shen (2010)

Journal of Inequalities and Applications [electronic only]

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A strong limit theorem for weighted sums of sequences of negatively dependent random variables.

Wu, Qunying (2010)

Journal of Inequalities and Applications [electronic only]

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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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