| 取值于可距离化拓扑线性空间的随机变量列部分和的收敛等价性 |
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| 引用本文： | 张步城.取值于可距离化拓扑线性空间的随机变量列部分和的收敛等价性[J].厦门大学学报(自然科学版),1991(6). |
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| 作者姓名： | 张步城 |
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| 作者单位： | 厦门大学数学系 |
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| 摘 要： | 证明了取值于可距离化拓扑线性空间E的独立随机变量列部分和的三种收敛性(→(s.s.)→(F),→(d))等价,本文还找到了E中一个满足d(x,y)=d(x—y,0)的拓补等价距离。
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| 关 键 词： | 可距离化 拓扑线性空间 (a?)→(p)→(d)→收敛 相对紧 胎紧 |
Convergence Equivalence of Sequences of Random Variables Valued in a Metrizable Topological Vector Space |
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| Zhang Bucheng.Convergence Equivalence of Sequences of Random Variables Valued in a Metrizable Topological Vector Space[J].Journal of Xiamen University(Natural Science),1991(6). |
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| Authors: | Zhang Bucheng |
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| Institution: | Dept . of Math. |
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| Abstract: | In this paper, it is proved that the three cases of convergence (i. e. ,) of sequences of random variables valued in a metrizable topological vetor space E are e-quivalent. The important tool-characteristic function can't be used because whether there are nonzero continuous linear functional is not known. A metric on E satisfying d(x,y)=d(x-y,0) is also given. |
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| Keywords: | Meuizable Topological vector Space Convergence (a-s p d ) Relative compact Tight |
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