ONE–SIDED CONCENTRATION NEAR THE MEAN OF LOG–CONCAVE DISTRIBUTIONS

Authors

• Iosif Pinelis, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

2026

Department

Department of Mathematical Sciences

Abstract

A lower bound on the probability P(0 < X < δ) for all real δ > 0 and all random variables X with log-concave p.d.f.’s such that EX = 0 and EX² = 1 is obtained.

Publication Title

Mathematical Inequalities and Applications

Recommended Citation

Pinelis, I. (2026). ONE–SIDED CONCENTRATION NEAR THE MEAN OF LOG–CONCAVE DISTRIBUTIONS. Mathematical Inequalities and Applications, 29(2), 157-167. http://doi.org/10.7153/mia-2026-29-09
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p2/2648