Complete Convergence Properties of the Sums for -mixing Sequences of Random Variables  被引量:5

Complete Convergence Properties of the Sums for -mixing Sequences of Random Variables

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作  者:WU Yan-chun WU Qun-ying 

机构地区:[1]School of Science, Guilin University of Technology, Guilin 541004, China

出  处:《Chinese Quarterly Journal of Mathematics》2011年第2期159-163,共5页数学季刊(英文版)

基  金:Supported by the National Natural Science Foundation of China(11061012); Supported by the Natural Science Foundation of Guangxi(2010GXNSFA013121)

摘  要:This paper discusses complete convergence properties of the sums of -mixing random sequences.As a result,we improve the corresponding results of Wu Qunying(2001). And extended the Baum and Katz complete convergence to the case of -mixing random sequences by moment inequality and truncating without necessarily adding any extra conditions.This paper discusses complete convergence properties of the sums of -mixing random sequences.As a result,we improve the corresponding results of Wu Qunying(2001). And extended the Baum and Katz complete convergence to the case of -mixing random sequences by moment inequality and truncating without necessarily adding any extra conditions.

关 键 词:-mixing random sequences complete convergence moment condition 

分 类 号:O211.4[理学—概率论与数理统计]

 

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