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

页码：417 / 425

页数：9

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