《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (6): 32-40.

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### ρ-混合序列完全矩收敛的精确渐近性

1. 桂林理工大学理学院, 广西 桂林 541004
• 发布日期:2020-06-01
• 作者简介:邓小芹(1989— ),女,硕士,研究方向为概率极限理论.E-mail:1084979551@qq.com*通信作者简介:吴群英(1961— ),女,博士,教授,研究方向为概率极限理论.E-mail:wqy666@glut.edu.cn
• 基金资助:
广西自然科学基金资助项目(2018GXNSFAA281011)

### Precise asymptotics of complete moment convergence for ρ-mixing sequence

DENG Xiao-qin, WU Qun-ying*

1. College of Science, Guilin University of Technology, Guilin 541004, Guangxi, China
• Published:2020-06-01

Abstract: There is a ρ-mixing sequence with mean zero and same distribution. Under some suitable moment conditions, by using the central limit theorem for ρ-mixing sequence on moving average process and its moment inequality, and the method of multiple censoring, the paper obtain the relevant conclusion that precise asymptotics of complete moment convergence of the ρ-mixing random variables on the moving average process, which extends the result of independent random variables.

• O211.4
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