| 期望泛函序列的若干收敛性条件 |
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| 引用本文： | 姚有林. 期望泛函序列的若干收敛性条件[J]. 科学技术与工程, 2007, 7(9): 2008-20102014 |
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| 作者姓名： | 姚有林 |
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| 作者单位： | 榆林学院数学系,榆林,719000 |
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| 摘 要： | 提出了弱胎紧的概念，并在弱胎紧的条件下证明了函数序列关于弱收敛概率测度序列积分的极限定理，用其研究了期望泛函序列的若干收敛性，得到了期望泛函序列的、上图收敛的一个充分条件。
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| 关 键 词： | 弱胎紧 极限定理 上图收敛 期望泛函 |
| 文章编号： | 1671-1819(2007)09-2008-04 |
| 收稿时间： | 2006-12-25 |
| 修稿时间： | 2006-12-25 |
Some Convergence Conditions of Expectant Functional Sequence |
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| YAO You-lin. Some Convergence Conditions of Expectant Functional Sequence[J]. Science Technology and Engineering, 2007, 7(9): 2008-20102014 |
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| Authors: | YAO You-lin |
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| Abstract: | A concept of the weak tight is presented. Limit theorems for the integration of function sequence with respect to weak convergence probability measure sequence are proved under the condition of the weak tight, which have been used to research the some convergence of expectant functional sequence, and a sufficient condition for the epi-convergence of expectant functional sequence is obtained. |
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| Keywords: | weak tight limit theorem epi-convergence expectant functional |
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