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Complete Convergence of Weighted Sums for Asymptotically Almost Negatively Associated Sequences
College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, China
- 1 College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, China
Applied Mathematics·Volume 08 (2017)·Pages 1662–1670·Published 1 November 2017·DOI10.4236/am.2017.811120
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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.
KeywordsAsymptotically Almost Negatively AssociatedWeighted SumsComplete Convergence
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