φ混合序列,完全收敛性,完全矩收敛性," /> φ混合序列,完全收敛性,完全矩收敛性,"/> φ-mixing random variables,"/> <em>φ</em>混合序列的完全矩收敛性

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### φ混合序列的完全矩收敛性

1. 安徽大学数学科学学院, 安徽 合肥 230601
• 收稿日期:2014-04-23 修回日期:2014-09-30 出版日期:2015-04-20 发布日期:2015-04-17
• 通讯作者: 王学军(1981-),男,博士,副教授,研究方向为概率统计.E-mail:wxjahdx2000@126.com E-mail:wxjahdx2000@126.com
• 作者简介:郑璐璐(1989-),女,硕士研究生,研究方向为概率统计.E-mail:349937922@qq.com
• 基金资助:
国家自然科学基金资助项目(11201001);安徽大学国家级大学生创新创业训练计划项目(201310357004);安徽大学研究性教学示范课程项目(xjyjkc1407)

### Complete moment convergence for sequences of φ mixing random variables

ZHENG Lu-lu, GE Mei-mei, LIU Yan-fang, WANG Xue-jun

1. School of Mathematical Science, Anhui University, Hefei 230601, Anhui, China
• Received:2014-04-23 Revised:2014-09-30 Online:2015-04-20 Published:2015-04-17

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.

• O211.4
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