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Complete Convergence for Weighted Sums of Negatively Superadditive Dependent Random Variables
Authors:Yu Zhou  Fengxi Xia  Yan Chen & Xuejun Wang
Abstract:Let $\{X_n,n\geq1\}$ be a sequence of negatively superadditive dependent (NSD, in short) random variables and $\{a_{nk}, 1\leq k\leq n, n\geq1\}$ be an array of real numbers. Under some suitable conditions, we present some results on complete convergence for weighted sums $\sum_{k=1}^na_{nk}X_k$ of NSD random variables by using the Rosenthal type inequality. The results obtained in the paper generalize some corresponding ones for independent random variables and negatively associated random variables.
Keywords:Negatively superadditive dependent random variables  Rosenthal type inequality  complete convergence  
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