Concentration Inequalities for Log-concave Sequences
Abstract
Abstract We investigate quantitative implications of the notion of log-concavity through a probabilistic interpretation. In particular, we derive concentration inequalities, moment and entropy bounds for random variables satisfying a precise degree of log-concavity. Along the way, we recover, improve, and simplify several results existing in the literature. Our approach is based on majorization in the convex order.
Fields of Study & Subjects
Point processes and geometric inequalities
Risk and Portfolio Optimization
Markov Chains and Monte Carlo Methods
Publication details
- Journal / source
- International Mathematics Research Notices
- Publisher
- Oxford University Press (OUP)
- Volume
- 2026
- Issue
- 4
- Publication date
- 24 January 2026
- Language
- EN