A SUPPLEMENT TO THE STRONG LAWS FOR WEIGHTED SUMS OF φ-MIXING RANDOM VARIABLES

被引：1
|
作者：
Huang, Haiwu [1 ]
Wang, Dingcheng [2 ]
Wu, Qunying [1 ]
Peng, Jiangyan [3 ]
机构：
[1] Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China
[2] Nanjing Audit Univ, Ctr Financial Engn, Nanjing 211815, Jiangsu, Peoples R China
[3] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Peoples R China
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2014年 / 8卷 / 03期
基金：
中国国家自然科学基金;
关键词：
phi-mixing random variables; Marcinkiewicz-Zygmund strong laws; weighted sums; MARCINKIEWICZ STRONG LAWS; CENTRAL-LIMIT-THEOREM; INVARIANCE-PRINCIPLE; EMPIRICAL PROCESSES; LINEAR STATISTICS; WEAK CONVERGENCE; SEQUENCES;
D O I：
10.7153/jmi-08-30
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some complete convergence theorems for linear statistics that are weighted sums = 1 aniXi are established, where {Xn; n = 1} is a sequence of. - mixing random variables and {ani; 1 = i = n, n = 1} is an array of constants. As an application, the Marcinkiewicz- Zygmund strong law of large numbers for weighted sums of. - mixing random variables is obtained.
引用
收藏
页码：417 / 425
页数：9
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