One-sided concentration near the mean of log-concave distributions
Abstract
A lower bound on the probability $P(0 0$ and all random variables $X$ with log-concave p.d.f.'s such that $EX=0$ and $EX^2=1$ is obtained.
Fields of Study & Subjects
Probability and Statistical Research
Point processes and geometric inequalities
Mathematical Inequalities and Applications
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 6 February 2026
- Language
- EN
- Document type
- Preprint