Complete convergence of weighted sums for arrays of rowwise φ-mixing random variables

被引：7

作者：

Wang, Xinghui ^{[1
]}

Li, Xiaoqin ^{[1
]}

Hu, Shuhe ^{[1
]}

机构：

[1] Anhui Univ, Dept Stat, Hefei 230039, Peoples R China

来源：

APPLICATIONS OF MATHEMATICS | 2014年 / 59卷 / 05期

基金：

中国国家自然科学基金;

关键词：

complete convergence; phi-mixing sequence; Marcinkiewicz-Zygmund type strong law of large numbers; STRONG LAW; RATES;

D O I：

10.1007/s10492-014-0073-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the complete convergence and complete moment convergence of weighted sums for arrays of rowwise phi-mixing random variables, and the Baum-Katz-type result for arrays of rowwise phi-mixing random variables. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of phi-mixing random variables is obtained. We extend and complement the corresponding results of X. J. Wang, S. H. Hu (2012).

引用

页码：589 / 607

页数：19

共 37 条

[31]

Wang X., 2012, ABSTR APPL ANAL, V2012, DOI DOI 10.1155/2012/315138

[32]

Wang X. J., 2012, ABSTR APPL ANAL, V2012

[33]

Wang XJ, 2012, RACSAM REV R ACAD A, V106, P321, DOI 10.1007/s13398-011-0056-0

[34]

Wu, 2006, LIMIT THEOREM PROBAB

[35] A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables [J].

Wu, Qunying .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,

[36]

ZHANG L., 2001, CHIN ANN MATH CHINES, V20, P205

[37] On Complete Convergence for Arrays of Rowwise ρ-Mixing Random Variables and Its Applications [J].

Zhou, Xing-cai ;

Lin, Jin-guan .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,

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