| 函数序列关于弱收敛概率测度序列积分的极限定理 |
| |
| 引用本文： | 霍永亮,刘三阳.函数序列关于弱收敛概率测度序列积分的极限定理[J].兰州大学学报(自然科学版),2005,41(6):125-129. |
| |
| 作者姓名： | 霍永亮 刘三阳 |
| |
| 作者单位： | 西安电子科技大学,应用数学系,陕西,西安,710071 |
| |
| 摘 要： | 研究了函数序列关于弱收敛概率测度序列积分的极限定理,给出了概率测度弱收敛的若干新的等价条件,得到了期望泛函序列上图收敛的一个充分条件.
|
| 关 键 词： | 概率测度弱收敛 极限定理 上图收敛 期望泛函 |
| 文章编号： | 0455-2059（2005）06-0125-05 |
| 收稿时间： | 07 8 2004 12:00AM |
| 修稿时间： | 2004-07-08 |
Limit theorems for the integration of function sequence with respect to weak convergence probability measure sequence |
| |
| HUO Yong-liang,LIU San-yang.Limit theorems for the integration of function sequence with respect to weak convergence probability measure sequence[J].Journal of Lanzhou University(Natural Science),2005,41(6):125-129. |
| |
| Authors: | HUO Yong-liang LIU San-yang |
| |
| Abstract: | Limit theorems for the integration of function sequence with respect to weak convergence probability measure sequence are studied. Some new equivalent conditions of weak convergence of probability measure are presented and a sufficient condition for the epi-convergence of expectant functional sequence is obtained. |
| |
| Keywords: | weak convergence of probability measure limit theorem epi-convergence expectant functional |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
