73 citations · 160 across the 24 of their papers we have counts for
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math.PR2022
Quantitative limit theorems via relative log-concavity
Arturo Jaramillo, James Melbourne
In this paper we develop tools for studying limit theorems by means of convexity. We establish bounds for the discrepancy in total variation between probability measures and $ν…
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…