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| 关于~*-mixing随机变量序列的强大数定律 | |
| 引用本文： | 王小胜,杨卫国,郭海英.关于~*-mixing随机变量序列的强大数定律[J].数学的实践与认识,2005,35(1):215-218. |
| 作者姓名： | 王小胜 杨卫国 郭海英 |
| 作者单位： | 1. 河北工程学院理学院,河北,邯郸,056038;江苏大学理学院,江苏,镇江,212013 2. 江苏大学理学院,江苏,镇江,212013 3. 河北工程学院理学院,河北,邯郸,056038 |
| 摘 要： | 利用任意随机变量序列的强大数定律讨论 * -mixing随机变量序列的强大数定律 ,得到了该序列的一个强极限定理 ,推广了经典的 * mixing随机变量序列的强大数定律 .同时讨论了 m相依序列和独立随机变量序列的强大数定律 . |
| 关 键 词： | 强大数定律*-mixing随机变量序列 m相依序列 混合随机变量序 |
| 修稿时间： | 2004年10月9日 |
The Strong Law of Large Numbers for *-mixing Sequences |
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| WANG Xiao-sheng,YANG Wei-guo,GUO Hai-ying.The Strong Law of Large Numbers for *-mixing Sequences[J].Mathematics in Practice and Theory,2005,35(1):215-218. | |
| Authors: | WANG Xiao-sheng YANG Wei-guo GUO Hai-ying |
| Abstract: | In this paper, by the strong laws of large numbers for the sequences of arbitrary random variables, we discuss the strong laws of large numbers for the *-mixing sequences. A strong limit theorem for the *-mixing sequences is obtained. Several classical strong laws for the *-mixing sequences are the particular of the result of this paper. And, the strong laws of large numbers for the sequences of m-dependent and independent random variables are obtained. |
| Keywords: | the strong law of large numbers *-mixing sequence m-dependent sequence |
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