| 关于NA随机变量极限定理的注记 |
| |
| 引用本文： | 刘立新,梅长林.关于NA随机变量极限定理的注记[J].数学进展,2006,35(4):441-448. |
| |
| 作者姓名： | 刘立新 梅长林 |
| |
| 作者单位： | 1. 对外经贸大学金融学院,北京,100029;北京大学数学科学学院,北京,100871
2. 西安交通大学理学院,西安,陕西,710049;北京大学数学科学学院,北京,100871 |
| |
| 基金项目： | 国家自然科学基金(No．10071003)及博士后基金． |
| |
| 摘 要： | NA随机变量是一包含独立随机变量在内的有广泛应用的随机变量类,本文在一些更弱的条件下,建立了具有不同分布NA随机变量列的强大数律和有界重对数律,进而推广了已有的关于NA随机变量的结果。
|
| 关 键 词： | NA随机变量 强大数律 有界重对数律 |
| 文章编号： | 1000-0917（2006）04-0441-08 |
| 收稿时间： | 2002-12-23 |
| 修稿时间： | 2005-12-28 |
Some Notes on the Limit Theorems of Negatively Associated Random Variables |
| |
| LIU Li-xin,MEI Chang-lin.Some Notes on the Limit Theorems of Negatively Associated Random Variables[J].Advances in Mathematics,2006,35(4):441-448. |
| |
| Authors: | LIU Li-xin MEI Chang-lin |
| |
| Abstract: | Negatively associated random variables are a more general class of random variables which have been applied to many practical fields,a set of independent random vari- ables is NA.In this paper,under some weaker conditions,we establish the strong laws of large number and the law of the iterated logarithm for negatively associated random variables with different distributions.The also obtained results for negatively associated random variables are generalized. |
| |
| Keywords: | NA random variables strong laws of large number the law of the iterated logarithm |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
