φ-混合序列加权和的强大数律

数学季刊 ›› 2013, Vol. 28 ›› Issue (4): 578-584.

φ-混合序列加权和的强大数律

School of Mathematical Science, Anhui University

收稿日期:2012-03-26 出版日期:2013-12-30 发布日期:2023-02-17
作者简介:LIU Ting-ting(1987-), female, native of Luan, Anhui, M.S.D., engages in probability limit theorem.
基金资助:
Supported by the National Natural Science Foundation of China(11171001,11201001)； Supported by the Natural Science Foundation of Anhui Province(1208085QA03,1308085QA03)

Strong Laws of Large Numbers for Weighted Sums of φ-mixing Sequence

Received:2012-03-26 Online:2013-12-30 Published:2023-02-17
About author:LIU Ting-ting(1987-), female, native of Luan, Anhui, M.S.D., engages in probability limit theorem.
Supported by:
Supported by the National Natural Science Foundation of China(11171001,11201001)； Supported by the Natural Science Foundation of Anhui Province(1208085QA03,1308085QA03)

摘要/Abstract

摘要： Supported by the National Natural Science Foundation of China(11171001,11201001)； Supported by the Natural Science Foundation of Anhui Province(1208085QA03,1308085QA03)

关键词: strong law of large numbers, weighted sums, φ-mixing sequence

Abstract: Supported by the National Natural Science Foundation of China(11171001,11201001)； Supported by the Natural Science Foundation of Anhui Province(1208085QA03,1308085QA03)

Key words: strong law of large numbers, weighted sums, φ-mixing sequence

中图分类号:

O211.4

刘婷婷, 陈志勇, 王学军, 王星惠. φ-混合序列加权和的强大数律[J]. 数学季刊, 2013, 28(4): 578-584.

LIU Ting-ting, CHEN Zhi-yong, WANG Xue-jun, WANG Xing-hui. Strong Laws of Large Numbers for Weighted Sums of φ-mixing Sequence[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(4): 578-584.

[1]	汪勐航, 裴文宸, 张宇恒, 应晗璐, 王学军. m-NA随机变量部分和的若干强收敛性[J]. 数学季刊, 2018, 33(2): 172-180.
[2]	刘婷婷, 王学军, 王星惠. φ混合序列加权和的完全收敛性[J]. 数学季刊, 2017, 32(2): 161-171.
[3]	张颖 , 张玉 , 沈爱婷. WOD变量加权和的完全收敛性[J]. 数学季刊, 2016, 31(1): 1-8.
[4]	陈志勇, 刘婷婷, 王学军, 李晓琴. AANA随机变量阵列的强大数定律[J]. 数学季刊, 2014, 29(4): 475-485.
[5]	吴永锋. m-NA随机变量加权和的强收敛性[J]. 数学季刊, 2014, 29(2): 265-273.
[6]	李静. φ-混合矩阵阵列的完全收敛性[J]. 数学季刊, 2013, 28(4): 546-554.
[7]	潘婧, 朱业春, 邹委员, 王学军. ψ-混合序列的若干收敛结果[J]. 数学季刊, 2013, 28(1): 111-117.
[8]	王学军, 胡舒合, 杨文志. 矩条件下任意随机序列的一些收敛结果[J]. 数学季刊, 2011, 26(4): 585-589.
[9]	汪忠志 . 关于任意随机序列的一个强大数定理[J]. 数学季刊, 2010, 25(4): 475-480.
[10]	袁德美. 关于α混合事件序列的第二Borel-Cantelli引理[J]. 数学季刊, 2009, 24(4): 551-560.
[11]	凌能祥, 杜雪樵. 相依样本下非参数回归函数基于分割估计的强相合性[J]. 数学季刊, 2005, 20(1): 28-33.