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Some Strong Convergence Theorems for Asymptotically almost Negatively Associated Random Variables

Some Strong Convergence Theorems for Asymptotically almost Negatively Associated Random Variables

In this work, the complete moment convergence and Lp convergence for asymptotically almost negatively associated (AANA, in short) random variables are investigated. As an application, the complete convergence theorem for weighted sums of AANA random variables is obtained. These theorems obtained extend and improve some earlier results.