Convergence for Sums of Asymptotically Almost Negatively Associated Random Variables |
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| Authors: | MENG Bing WANG Dingcheng WU Qunying |
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| Affiliation: | School of Mathematical Sciences, University of Electronic Science and Technology of China; College of Science, Guilin University of Technology, Guilin, 541004, China |
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| Abstract: | In this paper, by applying the moment inequality for asymptotically almost negatively associated (AANA, in short) random sequence and truncated method, the equivalent conditions of complete moment convergence of the maximum partial for weighted sums of AANA random variables are obtained without assumptions of identical distribution, which generalize and improve the corresponding ones of{15},{16} and {17}, respectively. |
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| Keywords: | AANA random variables complete convergence complete moment convergence weighted sums |
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