A Note on Distribution-Free Symmetrization Inequalities

doi:10.1007/s10959-014-0538-z

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	A Note on Distribution-Free Symmetrization Inequalities
	Dong, Zhao1 ; Li, Jiange 2; Li, Wenbo V.2
	2015-09-01
发表期刊	JOURNAL OF THEORETICAL PROBABILITY
ISSN	0894-9840
卷号	28 期号:3 页码:958-967
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).
关键词	Symmetrization inequalities Distribution-free Covering number Kissing number
DOI	10.1007/s10959-014-0538-z
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000363274600007
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21058
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.