| 连续参数集值鞅正则与收敛关系定理 |
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| 引用本文： | 薛红. 连续参数集值鞅正则与收敛关系定理[J]. 西安工程科技学院学报, 1997, 0(3) |
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| 作者姓名： | 薛红 |
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| 作者单位： | 西北纺织工学院基础部 |
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| 摘 要： | 给出了连续参数集值鞅的几种收敛定义．利用连续参数集值鞅正则性与收敛性的基本结果，给出了连续参数集值正则鞅与集值鞅收敛的几个关系定理，即在一定条件下，连续参数集值正则鞅具有某种收敛性；在一定条件下，具有某种收敛性的连续参数集值鞅是集值正则鞅．
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| 关 键 词： | 集值随机过程 集值正则鞅 弱L1收敛 Δ收敛 |
On Some Relation Theorems between Regularity and Convergence of Continuous Parameter Set Valued Martingale |
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| Xue Hong. On Some Relation Theorems between Regularity and Convergence of Continuous Parameter Set Valued Martingale[J]. Journal of Xi an University of Engineering Science and Technology, 1997, 0(3) |
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| Authors: | Xue Hong |
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| Abstract: | First give out definations of some convergence,then make use of basic result of continuous parameter set valued regular martingale and convergence,and give out some relation theorems between continuous parameter set valued regular martingale and convergence of set valued martingale ,that is,in some conditions,continuous parameter set valude regular martingale have some kinds of convergence,In some conditions,continuous parameter set valued maringales with some kinds of convergence are set valued regular martingales. |
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| Keywords: | set valued radom process set valued regular martingale |
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