Work

A note on the convex infimum convolution inequality

Year: 2017

Type: article

Abstract: We characterize the symmetric real random variables which satisfy the one dimensional convex infimum convolution inequality of Maurey. We deduce Talagrand’s two-level concentration for random vector $(X_{1},\ldots,X_{n})$, where $X_{i}$’s are independent real random variables whose tails satisfy certain exponential type decay condition.

Source: Bernoulli

DOI: 10.3150/16-bej875

Authors: Naomi Feldheim, Arnaud Marsiglietti, Piotr Nayar, Jing Wang

Institution: University of Minnesota

Language: English

Topic: Probability and Statistical Research

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: National Science Foundation

Award: G3920377332