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 AM  Vol.8 No.11 , November 2017
Complete Convergence of Weighted Sums for Asymptotically Almost Negatively Associated Sequences
Jun An
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Abstract:
For weighted sums of asymptotically almost negatively associated (AANA) random variables sequences, we use the Rosenthal type moment inequalities and prove the Marcinkiewicz-Zygmund type complete convergence and obtain the complete convergence rates. Our results extend some known ones.
Keywords: Asymptotically Almost Negatively Associated, Weighted Sums, Complete Convergence
Cite this paper: An, J. (2017) Complete Convergence of Weighted Sums for Asymptotically Almost Negatively Associated Sequences. Applied Mathematics, 8, 1662-1670. doi: 10.4236/am.2017.811120.
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