A short proof of Feige's conjecture for identically distributed random variables

2025/09/24 by Egozcue, Martín, García, Luis Fuentes · 2 citations
#60E15 (Primary) 05D40 (Secondary) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2509.19949

Abstract

In this note, we provide a short proof of Feige's conjecture for identically distributed random variables.

Citations

• On a Conjecture of Feige for Discrete Log-Concave Distributions
• Bounding probability of small deviation on sum of independent random variables: Combination of moment approach and Berry-Esseen theorem
• Small Deviations of Sums of Independent Random Variables
• Notes on Feige's gumball machines problem

Cited by

• Sharp small-deviation inequalities for sums of independent nonnegative random variables
• On Feige's conjecture

Related

• An equivalent conjecture to Feige's Conjecture
• Notes on Feige's gumball machines problem
• On Feige's conjecture
• On notions of Q-independence and Q-identical distributiveness
• Small Deviations of Sums of Independent Random Variables