Abdulmajeed Alqasem

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math.PR2026

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

Abdulmajeed Alqasem, Heshan Aravinda, Arnaud Marsiglietti

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

math.PR2022

On a Conjecture of Feige for Discrete Log-Concave Distributions

Abdulmajeed Alqasem, Heshan Aravinda, Arnaud Marsiglietti +1

A remarkable conjecture of Feige (2006) asserts that for any collection of $n$ independent non-negative random variables $X_{1}, X_{2}, \dots, X_{n}$ , each with expectation at most $1$ ,…

Majorization, Entropy and Concentration Inequalities for Discrete α-Concave Random Variables

On a Conjecture of Feige for Discrete Log-Concave Distributions

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