| 可测函数序列关于弱收敛概率测度序列积分的极限定理 |
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| 引用本文： | 霍永亮,刘三阳.可测函数序列关于弱收敛概率测度序列积分的极限定理[J].系统科学与数学,2008,28(6):709-717. |
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| 作者姓名： | 霍永亮 刘三阳 |
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| 作者单位： | 1. 重庆文理学院数学与计算机科学系,水川,402160;西安电子科技大学应用数学系,西安,710071
2. 西安电子科技大学应用数学系,西安,710071 |
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| 基金项目： | 国家自然科学基金
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陕西省自然科学基金
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陕西省教育厅资助项目 |
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| 摘 要： | 研究了可测函数序列关于弱收敛概率测度序列积分的极限定理及其控制收敛定理,并给出了概率测度弱收敛的若干新的等价条件.
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| 关 键 词： | 极限定理 控制收敛定理 弱等度胎紧 一致可积 函数序列 收敛概率 度序列 积分 极限定理 SEQUENCE PROBABILITY MEASURE WEAK CONVERGENCE FUNCTION INTEGRATION 等价条件 概率测度弱收敛 控制收敛定理 研究 |
| 收稿时间： | 2005-12-12 |
Limit Theorems For The Integration Of Measurable Function Sequence With Respect To Weak Convergence Probability Measure Sequence |
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| HUO Yongliang,LIU Sanyang.Limit Theorems For The Integration Of Measurable Function Sequence With Respect To Weak Convergence Probability Measure Sequence[J].Journal of Systems Science and Mathematical Sciences,2008,28(6):709-717. |
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| Authors: | HUO Yongliang LIU Sanyang |
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| Institution: | (1)Department of Mathematics and Computer Science, Chongqing University of Arts and Sciences, Yongchuan Chongqing 402160; (2)Department of Applied Mathematics, Xidian University, Xi'an 710071 |
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| Abstract: | Limit theorems and dominated convergence theorems for the integration of measurable function sequence with respect to weak convergence probability measure sequence are studied and some new equivalent conditions of weak convergence of probability measure are obtained. |
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| Keywords: | Limit theorem dominated convergence theorems weak equi-tight uniformly integrable |
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