2 citations · 2 across the 6 of their papers we have counts for
6 papers
On Two Conjectures Related to the Boros-Moll Sequences
Heshan Aravinda
The Boros-Moll sequences are defined as Consider the ratio sequence $$…
A note on the maximum probability of ultra log-concave distributions
Heshan Aravinda
Jakimiuk et al. (2024) have proved that, if is an ultra log-concave random variable with integral mean, then wher…
Gelation in Vector Multiplicative Coalescence and Extinction in Multi-Type Poisson Branching Processes
Heshan Aravinda, Yevgeniy Kovchegov, Peter T. Otto +1
In this note, we present a novel connection between a multi-type (vector) multiplicative coalescent process and a multi-type branching process with Poisson offspring distributions.…
Entropy-variance inequalities for discrete log-concave random variables via degree of freedom
Heshan Aravinda
We utilize a discrete version of the notion of degree of freedom to prove a sharp min-entropy-variance inequality for integer valued log-concave random variables. More specifically…
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 ,…
Concentration Inequalities for Ultra Log-Concave Distributions
Heshan Aravinda, Arnaud Marsiglietti, James Melbourne
We establish concentration inequalities in the class of ultra log-concave distributions. In particular, we show that ultra log-concave distributions satisfy Poisson concentration b…