On the zero-one law and the law of large numbers for random walk in mixing random environment.
Rassoul-Agha, Firas (2005)
Electronic Communications in Probability [electronic only]
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Rassoul-Agha, Firas (2005)
Electronic Communications in Probability [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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Le Van Thanh (2005)
International Journal of Mathematics and Mathematical Sciences
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Amini, M., Bozorgnia, A. (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Zhu, Meng-Hu (2007)
Discrete Dynamics in Nature and Society
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Sung, Soo Hak (2010)
Discrete Dynamics in Nature and Society
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Achari, J. (1983)
International Journal of Mathematics and Mathematical Sciences
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Wu, Qunying (2011)
Journal of Probability and Statistics
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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).
Patterson, Ronald Frank, Bozorgnia, Abolghassem, Taylor, Robert Lee (1993)
Journal of Applied Mathematics and Stochastic Analysis
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O'Regan, Donal, Shahzad, Naseer, Agarwal, Ravi P. (2003)
Journal of Applied Mathematics and Stochastic Analysis
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