Concentration functions and entropy bounds for discrete log-concave distributions

Authors:
  • SBSergey G. Bobkov
    Sergey G. Bobkov
  • AMArnaud Marsiglietti
    Arnaud Marsiglietti
  • JMJames Melbourne
    James Melbourne
Preprint
Publisher website
Google Scholar
Abstract
Two-sided bounds are explored for concentration functions and R\'enyi entropies in the class of discrete log-concave probability distributions. They are used to derive certain variants of the entropy power inequalities.