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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 independent non-negative random variables , each with expectation at most ,…
math.PR2022★ 3 cited
Concentration inequalities for log-concave sequences
Arnaud Marsiglietti, James Melbourne
We investigate quantitative implications of the notion of log-concavity through a probabilistic interpretation. In particular, we derive concentration inequalities, moment and entr…