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 (X1, Xn), where Xi 's are independent real random variables whose tails satisfy certain exponential type decay condition.
| Original language | English |
|---|---|
| Pages (from-to) | 257-270 |
| Number of pages | 14 |
| Journal | Bernoulli |
| Volume | 24 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 2018 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2018 ISI/BS.
Keywords
- Concentration of measure
- Convex sets
- Infimum convolution
- Poincaré inequality
- Product measures
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