ON THE STRONG LAW OF LARGE NUMBERS FOR WEIGHTED SUMS OF φ-MIXING RANDOM VARIABLES

被引：10

作者：

Huang, Haiwu ^{[1
,2
]}

Wang, Dingcheng ^{[3
]}

Peng, Jiangyan ^{[4
]}

机构：

[1] Guangxi Sci Expt Ctr Min Met & Environm, Guilin 541004, Peoples R China

[2] Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China

[3] Nanjing Audit Univ, Ctr Financial Engn, Nanjing 211815, Jiangsu, Peoples R China

[4] 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; strong law of large numbers; weighted sums; MOVING AVERAGE PROCESSES; CENTRAL-LIMIT-THEOREM; INVARIANCE-PRINCIPLE;

D O I：

10.7153/jmi-08-34

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let {X-n, n >= 1} be a sequence of phi-mixing random variables with non-identical distribution and {a(ni);1 <= i <= n, n >= 1} be an array of real constants. In this paper, we study the strong law of large numbers for the maximal weighted sums of phi-mixing random variables. The results obtained generalize and improve the previous known result of Bai and Cheng (Z.D. Bai and P.E. Cheng, 2000. Marcinkiewicz strong laws for linear statistics. Statist. Probab. Lett. vol. 46, no. 2, pp. 105-112.) for independent and identically distributed random variables to phi-mixing case.

引用

页码：465 / 473

页数：9

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