Convergence properties for asymptotically almost negatively associated sequence.
Complete convergence of weighted sums for arrays of rowwise -mixing random variables
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).
Moment inequality for -mixing sequences and its applications.
On complete convergence for weighted sums of -mixing random variables.
Doob's type inequality and strong law of large numbers for demimartingales.
Strong Convergence for weighed sums of negatively superadditive dependent random variables
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.
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