On Complete Convergence and Strong Law for Weighted Sums of i.i.d. Random Variables

被引：12

作者：

Chen, Pingyan ^{[1
]}

Ma, Xiaofang ^{[2
]}

Sung, Soo Hak ^{[3
]}

机构：

[1] Jinan Univ, Dept Math, Guangzhou 510630, Guangdong, Peoples R China

[2] Jinan Univ, Dept Stat, Guangzhou 510630, Guangdong, Peoples R China

[3] Pai Chai Univ, Dept Appl Math, Taejon 302735, South Korea

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

新加坡国家研究基金会; 中国国家自然科学基金;

关键词：

SUMMABILITY METHODS; SURE CONVERGENCE; LIMIT-THEOREMS; RATES;

D O I：

10.1155/2014/251435

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We improve and generalize the result of Stout (1974, Theorem 4.1.3). In particular, the sharp moment conditions are obtained and some well-known results can be obtained as special cases of the main result. The method of the proof is completely different from that in Stout. We also improve and generalize Li et al. (1995) strong law for weighted sums of i.i.d. random variables.

引用

页数：7

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