%0 Journal Article %T φ混合序列的完全矩收敛性<br>Complete moment convergence for sequences of φ mixing random variables %A 郑璐璐 %A 葛梅梅 %A 刘艳芳 %A 王学军< %A br> %A ZHENG Lu-lu %A GE Mei-mei %A LIU Yan-fang %A WANG Xue-jun %J 山东大学学报(理学版) %D 2015 %R 10.6040/j.issn.1671-9352.0.2014.177 %X 摘要: 主要利用φ混合序列的矩不等式和随机变量的截尾技术,在适当的矩条件下,研究了φ混合序列的完全矩收敛性.本文的结果推广了独立序列和已有文献关于φ混合序列的相应结果,同时也将φ混合序列的完全收敛性改进到完全矩收敛性.<br>Abstract: Under some suitable moment conditions, the complete moment convergence for sequences of φ-mixing random variables was investigated by using the moment inequality of φ-mixing random variables and the truncated method. The result obtained in this paper extends the corresponding ones for independent random variables and φ-mixing random variables. In addition, the complete convergence is improved to complete moment convergence %K < %K span style=< %K br> %K complete moment convergence %K complete convergence %K sequences of < %K em> %K < %K span style= %U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2014.177