| B值随机元的Rosenthal不等式及其应用 |
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| 引用本文： | 甘师信. B值随机元的Rosenthal不等式及其应用[J]. 数学物理学报(A辑), 2010, 30(2): 327-334 |
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| 作者姓名： | 甘师信 |
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| 作者单位： | 武汉大学数学与统计学院,武汉,430072 |
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| 摘 要： | 该文证明了一类B值随机元序列的Rosenthal不等式,一些经典的Rosenthal不等式作为其推论被蕴含其中.作为不等式的应用,还给出了行为鞅差随机元的阵列的完全收敛性的一些结果,推广和改进了一些熟知的结论.
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| 关 键 词： | (q, p)-W-A序列 随机元 强大数定律 完全收敛性 p可光滑空间 p型Banach空间 |
| 收稿时间： | 2008-02-15 |
| 修稿时间： | 2009-04-03 |
Rosenthal's Inequality and Its Applications for B -valued Random Elements |
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| GAN Shi-Xin. Rosenthal's Inequality and Its Applications for B -valued Random Elements[J]. Acta Mathematica Scientia, 2010, 30(2): 327-334 |
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| Authors: | GAN Shi-Xin |
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| Affiliation: | School of Mathematics and Statistics, Wuhan University, Wuhan 430072 |
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| Abstract: | In this paper the author proves Rosenthal's inequality for B-valued random element sequences,which contains classical Rosenthal's inequalities as its corollaries.As an application, some results on the complete convergence for arrays of rowwise martingale difference random elements are obtained.Some well-known results are improved and extended. |
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| Keywords: | (q,p)-W-A sequence Random elements Strong law of large numbers Complete convergence p-smoothable Banach spaces Banach spaces of type p |
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