Equivalence of the Poincare inequality with a transport-chi-square inequality in dimension one

被引：2
|
作者：
Jourdain, Benjamin [1 ]
机构：
[1] Univ Paris Est, CERMICS, Paris, France
来源：
ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2012年 / 17卷
关键词：
Poincare inequality; transport inequality; chi-square pseudo-distance; Wasserstein distance;
D O I：
10.1214/ECP.v17-2115
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this paper, we prove that, in dimension one, the Poincare inequality is equivalent to a new transport-chi-square inequality linking the square of the quadratic Wasserstein distance with the chi-square pseudo-distance. We also check tensorization of this transport-chi-square inequality.
引用
收藏
页码：1 / 12
页数：12
相关论文
共 28 条
123