| B值同分布鞅随机变元序列矩收敛的注记 |
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| 引用本文： | 王定成,曾勇.B值同分布鞅随机变元序列矩收敛的注记[J].电子科技大学学报(社会科学版),2001(4). |
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| 作者姓名： | 王定成 曾勇 |
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| 作者单位： | 电子科技大学应用数学系! 成都 610054，电子科技大学应用数学系! 成都 610054 |
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| 摘 要： | 讨论了一类B值同分布鞅随机变量的矩完全收敛性, 在二阶光滑空间中当一定矩存在条件下，利用切尾法、下鞅的极大值不等式、高阶法等分析技巧，给出了此类B值同分布鞅随机变量的矩完全收敛性的充分条件，揭示了B值同分布鞅随机变量的矩完全收敛性与矩存在性之间的关系，得到了满意的结果。
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| 关 键 词： | 空间 B值鞅 随机变量和 矩完全收敛性 阶光滑空间 独立随机变量 |
A Note on Moment Convergences for B-valued Martingale Random Variables |
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| Wang Dingcheng,Zeng Yong.A Note on Moment Convergences for B-valued Martingale Random Variables[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),2001(4). |
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| Authors: | Wang Dingcheng Zeng Yong |
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| Abstract: | In this paper, a kind of the problems with respect to the moment complete convergence of martingale random variables is discussed. Under certain moment condition, based on high order moment and inequality of supmartingale and other relevant analytical methods, the sufficient condition of the moment complete convergence for martingale random variables is obtained. Therefor, the relation between moment and complete convergence for martingale random variables is revealed with a satisfying result. |
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| Keywords: | martingale in Banch sums of random variables moment complete convergence iid random variables inequality for moment |
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