| 连续参数集值上鞅的收敛性 |
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| 引用本文： | 李高明,惠莉萍.连续参数集值上鞅的收敛性[J].西安科技大学学报,2006,26(2):276-278. |
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| 作者姓名： | 李高明 惠莉萍 |
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| 作者单位： | [1]武警工程学院数学教研室,陕西西安710086 [2]西安科技大学数学教研室,陕西西安710054 |
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| 摘 要： | 离散参数集值上鞅的收敛性已有诸多学者研究过。Hess．C．给出了无界集值上鞅在Kuratowski-Mosoo收敛意义下的收敛定理，笔者曾得到了在Kuratowski收敛意义下的类似结果，但对连续参数集值上鞅收敛性研究尚不多见。文中在给出连续参数集值上鞅在Kuratowski收敛意义下的收敛定理。
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| 关 键 词： | 集值上鞅 集值条件期望 Kuratowski收敛 |
| 文章编号： | 1672-9315(2006)02-0276-03 |
| 修稿时间： | 2005年5月2日 |
Set-valued supermartingale convergence theorem with continuous parameter |
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| LI Gao-ming,HUI Li-ping.Set-valued supermartingale convergence theorem with continuous parameter[J].JOurnal of XI’an University of Science and Technology,2006,26(2):276-278. |
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| Authors: | LI Gao-ming HUI Li-ping |
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| Institution: | LI Gao-ming~1,HUI Li-ping~2 |
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| Abstract: | The convergence with discrete parameter of set-valued supermartingale had been investigated by many scholars.Hess.C verifies theset-valued supermatingale convergence theorem in the sense of Kuratowsk,the author gives some similar conclusions in the sense of Kuratowsk,but there are not too much investigation on the set-valued supermartingale in the sense of Kuratowsk.The present paper investigates the convergence theorem of set-valued supermartingale in the sense of Kuratowsk. |
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| Keywords: | set-valued supermartingale set-valued conditional expectation Kuratowsk convergence |
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