Christos Pelekis

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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…