Convergence properties for asymptotically almost negatively associated sequence.
Complete -moment convergence for weighted sums of WOD arrays with statistical applications
Complete -moment convergence is much more general than complete convergence and complete moment convergence. In this work, we mainly investigate the complete -moment convergence for weighted sums of widely orthant dependent (WOD, for short) arrays. A general result on Complete -moment convergence is obtained under some suitable conditions, which generalizes the corresponding one in the literature. As an application, we establish the complete consistency for the weighted linear estimator in nonparametric...
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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