| 摘要: |
| 本文研究了拟鞅Rosenthal型不等式的问题.利用好λ不等式得到拟鞅Rosenthal型不等式与值空间几何性质间的等价刻画,进而得到大数定律.这些结论丰富了已有结果. |
| 关键词: Rosenthal 型不等式 拟鞅 几何性质 |
| DOI： |
| 分类号:O174.2 |
| 基金项目:Supported by National Natural Science Foundation of China (11201354); Hubei Province Key Laboratory of Systems Science in Metallurgical Process (Wuhan University of Science and Technology) (Y201321) and National Natural Science Foundation of Pre-Research Item (2011XG005). |
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| ROSENTHAL TYPE INEQUALITY OF B-VALUED QUASI-MARTINGALE |
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ZHANG Chuan-zhou, PAN Yu, ZHANG Xue-ying
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College of Science, Wuhan University of Science and Technology, Wuhan 430065, China
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| Abstract: |
| In this paper we discuss the Rosenthal type inequality of quasi-martingale. By using good λ inequality, we prove that Rosenthal type inequality of quasi-martingale and geometric properties of Banach space are equivalent. As a consequence, we prove the law of large numbers. These conclusions generalize some known results. |
| Key words: Rosenthal type inequality quasi-martingale geometric properties |
