On strong law of large numbers and growth rate for a class of random variables

被引：3

作者：

Shen, Yan ^{[1
]}

Yang, Jie ^{[1
]}

Hu, Shuhe ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230039, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

基金：

中国国家自然科学基金;

关键词：

strong law of large numbers; weighted sums; with exponent 2; DEPENDENT RANDOM-VARIABLES; WEIGHTED SUMS; SURE CONVERGENCE; GENERAL-APPROACH; STABILITY;

D O I：

10.1186/1029-242X-2013-563

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the strong law of large numbers for a class of random variables satisfying the maximal moment inequality with exponent 2. Our results embrace the Kolmogorov strong law of large numbers and the Marcinkiewicz strong law of large numbers for this class of random variables. In addition, strong growth rate for weighted sums of this class of random variables is presented.

引用

页数：11

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