A new characterization of quadratic transportation-information inequalities

doi:10.1007/s00440-016-0721-5

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	A new characterization of quadratic transportation-information inequalities
	Liu, Yuan
	2017-08-01
发表期刊	PROBABILITY THEORY AND RELATED FIELDS
ISSN	0178-8051
卷号	168 期号:3-4 页码:675-689
摘要	It is known that a quadratic transportation-information inequality interpolates between the Talagrand's inequality and the log-Sobolev inequality (LSI for short). The aim of this paper is threefold: (1) To prove the equivalence of and the Lyapunov condition, which gives a new characterization inspired by Cattiaux et al. (Probab Theory Relat Fields 148(1-2):285-304, 2010). (2) To prove the stability of under bounded perturbations, which gives a transference principle in the sense of Holley-Stroock. (3) To prove through a restricted , which gives a counterpart of the restricted LSI presented by Gozlan et al. (Ann Probab 39(3):857-880, 2011).
关键词	Transportation-information inequality Talagrand's inequality Log-Sobolev inequality Lyapunov condition Transference principle
DOI	10.1007/s00440-016-0721-5
语种	英语
资助项目	NSFC[11201456] ; NSFC[1143000182] ; NSFC[11371352] ; AMSS[Y129161ZZ1] ; Key Laboratory of Random Complex Structures and Data, Academy of Mathematics and Systems Science, Chinese Academy of Sciences[2008DP173182]
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000403710700005
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25828
专题	应用数学研究所
通讯作者	Liu, Yuan
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Yuan. A new characterization of quadratic transportation-information inequalities[J]. PROBABILITY THEORY AND RELATED FIELDS,2017,168(3-4):675-689.
APA	Liu, Yuan.(2017).A new characterization of quadratic transportation-information inequalities.PROBABILITY THEORY AND RELATED FIELDS,168(3-4),675-689.
MLA	Liu, Yuan."A new characterization of quadratic transportation-information inequalities".PROBABILITY THEORY AND RELATED FIELDS 168.3-4(2017):675-689.