A note on the strong laws of large numbers for random variables

被引：4

作者：

Hu, T-C. ^{[1
]}

Sung, S. H. ^{[2
]}

Volodin, A. ^{[3
]}

机构：

[1] Natl Tsing Hua Univ, Dept Math, Hsinchu 30013, Taiwan

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

[3] Univ Regina, Dept Math & Stat, Regina, SK S4S 0A2, Canada

来源：

ACTA MATHEMATICA HUNGARICA | 2016年 / 150卷 / 02期

基金：

加拿大自然科学与工程研究理事会; 新加坡国家研究基金会;

关键词：

strong law of large numbers; Hajek-Renyi maximal inequality; complete convergence; rate of convergence; GROWTH-RATE;

D O I：

10.1007/s10474-016-0650-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let be a sequence of random variables and {b (n) , n aeyen 1} a nondecreasing sequence of positive constants. No assumptions are imposed on the joint distributions of the random variables. Some sufficient conditions are given under which almost surely. Necessary conditions for the strong law of large numbers are also given.

引用

页码：412 / 422

页数：11

共 13 条

[1] CONVERGENCE RATES IN LAW OF LARGE NUMBERS [J].