| B值拟鞅不等式及其应用 |
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| 引用本文： | 甘师信,邱德华.B值拟鞅不等式及其应用[J].数学杂志,2001,21(4):409-414. |
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| 作者姓名： | 甘师信 邱德华 |
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| 作者单位： | 1. 武汉大学数学与统计学院,
2. 衡阳师范学院数学系, |
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| 基金项目： | 国家自然科学基金资助课题项目(10071019). |
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| 摘 要： | 本文给出B值拟鞅的概率不等式与集合不等式，并用它们刻划了B空间的p可光滑性及q可凸性，作为应用，还证明了B值拟鞅的强大数律，收敛速度及极大值函数的可积性。
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| 关 键 词： | B值p拟鞅 B值拟鞅 p可光滑性 q可凸性 强大数律 极大值函数 可积性 概率不等式 概率空间 |
| 文章编号： | 0255-7797(2001)04-0409-06 |
INEQUALITIES FOR B VALUED QUASIMARTINGALES AND THEIR APPLICATIONS |
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| GAN Shi,xin.INEQUALITIES FOR B VALUED QUASIMARTINGALES AND THEIR APPLICATIONS[J].Journal of Mathematics,2001,21(4):409-414. |
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| Authors: | GAN Shi xin |
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| Abstract: | Some inequalities of probability and set for B Valued quasi martingales are established, p smoothable and q convexifiable Banach spaces are characterized in terms of these inequalities. As applications of this inequality, the strong law of large numbers, the rates of convergence and integrability of the supremum function of B valued quasi martingales are also given. |
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| Keywords: | B valued p quasi martingale B valued quasi martingale p smoothable Banach space q convexifiable Banach space strong law of large numbers integrability of the supremum function |
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