Christos Pelekis

collaborators

3 papers

math.CO2026

An entropic analogue of the MMS conjecture

Jianhang Ai, OndÅej KuÅ¾elka, Christos Pelekis

Let $P = {x_{1}, \dots, x_{n}}$ be a multiset consisting of $n \geq 2$ real numbers such that $\sum_{i = 1}^{n} x_{i} = 0$ and $\sum_{i = 1}^{n} ∣ x_{i} ∣ > 0$ , and let $k < n$ be a positive integer. We s…

math.PR2026

On lower bounds for hypergeometric tails

Jianhang Ai, Christos Pelekis

Let $n, k$ be positive integers such that $n \geq k$ , and let $H$ be a hypergeometric random variable counting the number of black marbles in a sample without replacement of size $k$ …

math.PR2025

Concentration inequalities for the sum in sampling without replacement: an approach via majorization

Jianhang Ai, OndÅej KuÅ¾elka, Christos Pelekis

Let $P = (x_{1}, \dots, x_{n})$ be a population consisting of $n \geq 2$ real numbers whose sum is zero, and let $k < n$ be a positive integer. We sample $k$ elements from $P$ without replac…