Majorization, Entropy and Concentration Inequalities for Discrete $\alpha$-Concave Random Variables

Abdulmajeed Alqasem, Heshan Aravinda, Arnaud Marsiglietti

We establish a maximum-variance inequality for discrete $\alpha$-concave random variables in the regime $-1/3<\alpha <0$, extending corresponding results beyond the discrete log-concave setti…