A Note on Distribution-Free Symmetrization Inequalities
文献类型：期刊论文
| 作者 | Dong, Zhao1 ; Li, Jiange2; Li, Wenbo V.2
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| 刊名 | JOURNAL OF THEORETICAL PROBABILITY
 |
| 出版日期 | 2015-09-01 |
| 卷号 | 28期号:3页码:958-967 |
| 关键词 | Symmetrization inequalities Distribution-free Covering number Kissing number |
| ISSN号 | 0894-9840 |
| DOI | 10.1007/s10959-014-0538-z |
| 英文摘要 | Let be two independent identically distributed (i.i.d.) random variables taking values from a separable Banach space . Given two measurable subsets , we establish distribution-free comparison inequalities between and . These estimates are optimal for real random variables as well as when is equipped with the norm. Our approach for both problems extends techniques developed by Schultze and Weizsacher (Adv Math 208:672-679, 2007). |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000363274600007 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21057]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Li, Jiange |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Univ Delaware, Dept Math Sci, Newark, DE 19716 USA |
| 推荐引用方式 GB/T 7714 | Dong, Zhao,Li, Jiange,Li, Wenbo V.. A Note on Distribution-Free Symmetrization Inequalities[J]. JOURNAL OF THEORETICAL PROBABILITY,2015,28(3):958-967. |
| APA | Dong, Zhao,Li, Jiange,&Li, Wenbo V..(2015).A Note on Distribution-Free Symmetrization Inequalities.JOURNAL OF THEORETICAL PROBABILITY,28(3),958-967. |
| MLA | Dong, Zhao,et al."A Note on Distribution-Free Symmetrization Inequalities".JOURNAL OF THEORETICAL PROBABILITY 28.3(2015):958-967. |
入库方式： OAI收割
来源：数学与系统科学研究院
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