全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
-  2015 

φ混合序列的完全矩收敛性
Complete moment convergence for sequences of φ mixing random variables

DOI: 10.6040/j.issn.1671-9352.0.2014.177

Keywords: complete moment convergence,complete convergence,sequences of

Full-Text   Cite this paper   Add to My Lib

Abstract:

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.
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

References

[1]  HUANG Haiwu, WANG Dingcheng, WU Qunying. Strong convergence laws for <span style="border-top: 1px solid; padding-top: 0px">φ</span>-mixing sequences of random variables[J]. Chinese Journal Applied Probability and Statistics, 2012, 28(2):181-188.
[2]  冯凤香.不同分布<span style="border-top: 1px solid; padding-top: 0px">φ</span>混合序列加权和的完全收敛性和强收敛性[J]. 广西科学,2009,16(2):117-119. FENG Fengxiang. Complete convergence and strong convergence for weighted sums of <span style="border-top: 1px solid; padding-top: 0px">φ</span> mixing sequences with different distribution[J]. Guangxi Sciences, 2009, 16(2):117-119.
[3]  WANG Xuejun, HU Shuhe, SHEN Yan, et al. Strong stability for weighted sums of <span style="border-top: 1px solid; padding-top: 0px">φ</span>-mixing random variables[J]. Mathematica Applicata, 2010, 23(2):274-280.
[4]  唐国强,伍艳春.<span style="border-top: 1px solid; padding-top: 0px">φ</span>混合序列加权和的完全收敛性和强收敛性[J]. 桂林工学院学报,2004, 24(1):100-102. TANG Guoqiang, WU Yanchun. Complete convergence and strong convergence for weighted sums of <span style="border-top: 1px solid; padding-top: 0px">φ</span> mixing sequences[J]. Journal of Guilin University of Technology, 2004, 24(1):100-102.
[5]  沈燕,王学军,胡舒合,等.不同分布<span style="border-top: 1px solid; padding-top: 0px">φ</span>混合序列乘积和的强收敛性[J]. 数学研究,2010,43(1):75-78. SHEN Yan, WANG Xuejun, HU Shuhe, et al. Strong convergence properties of sums of products for <span style="border-top: 1px solid; padding-top: 0px">φ</span> mixing sequence with different distributions[J]. Journal of Mathematical Study, 2010, 43(1):75-78.
[6]  吴群英,林亮.<span style="border-top: 1px solid; padding-top: 0px">φ</span>混合序列的完全收敛性和强收敛性[J]. 工程数学学报,2004,21(1):75-80. WU Qunying, LIN Liang. Complete convergence and strong convergence for <span style="border-top: 1px solid; padding-top: 0px">φ</span> mixing sequences[J]. Journal of Engineering Mathematics, 2004, 21(1):75-80.
[7]  王学军,胡舒合,沈燕.<span style="border-top: 1px solid; padding-top: 0px">φ</span>混合序列部分和的收敛性质[J]. 工程数学学报,2009,26(1):184-186. WANG Xuejun, HU Shuhe, SHEN Yan. Convergence properties for the partial sums of <span style="border-top: 1px solid; padding-top: 0px">φ</span> mixing sequences[J]. Journal of Engineering Mathematics, 2009, 26(1): 184-186.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133