ρ-混合序列完全矩收敛精确渐近性的一般结果

数学物理学报 ›› 2017, Vol. 37 ›› Issue (3): 544-552.

ρ-混合序列完全矩收敛精确渐近性的一般结果

付宗魁¹, 吴群英²

1. 信阳学院数学与信息学院河南信阳 464000;
2. 桂林理工大学理学院广西桂林 541004

收稿日期:2016-09-27 修回日期:2017-01-21 出版日期:2017-06-26 发布日期:2017-06-26
作者简介:付宗魁,E-mail:gut_fuzongkui@163.com
基金资助:
国家自然科学基金（11361019）和广西自然科学基金重点项目（2013GXNSFDA019001）

A General Result of Precise Asymptotics in Complete Moment Convergence for ρ-mixing Sequence

Fu Zongkui¹, Wu Qunying²

1. Institute of Mathematics and Computer, Xinyang College, Henan Xinyang 464000;
2 College of Science, Guilin University of Technology, Guangxi Guilin 541004

Received:2016-09-27 Revised:2017-01-21 Online:2017-06-26 Published:2017-06-26
Supported by:
Supported by the NSFC (11361019) and the Natural Science Foundation of Key Project of Guanxi (2013GXNSFDA019001)

摘要/Abstract

摘要： 设X，X_n；n ≥ 1是均值为零的严平稳ρ-混合随机变量序列.在适当的条件下，利用ρ-混合序列的弱收敛性和矩不等式，证明了其完全矩收敛精确渐近性的一般结果，改进并推广了已有的结果.

关键词: 精确渐近, 完全矩收敛, ρ-混合随机变量

Abstract: Let X,X_n;n ≥ 1 be a strictly stationary sequence of ρ-mixing random variables with mean zeros, if some conditions are satisfied, by the weak convergence theorem and moment inequalities of ρ-mixing random variables, a general result on precise asymptotics for ρ-mixing random variables, then the known results of this field are improved and extended.

Key words: Precise asymptotic, Complete moment convergence, ρ-Mixing random variables

中图分类号:

O211.4

付宗魁, 吴群英. ρ-混合序列完全矩收敛精确渐近性的一般结果[J]. 数学物理学报, 2017, 37(3): 544-552.

Fu Zongkui, Wu Qunying. A General Result of Precise Asymptotics in Complete Moment Convergence for ρ-mixing Sequence[J]. Acta mathematica scientia,Series A, 2017, 37(3): 544-552.