C. Pelekis

activity

20132023

most citedA limit theorem for small cliques in inhomogeneous random graphs

10 citations · 34 across the 19 of their papers we have counts for

collaborators

Showing 2015Show all

4 papers · 1 filter

math.PR2015

Hölder-type inequalities and their applications to concentration and correlation bounds

Christos Pelekis, Jan Ramon, Yuyi Wang

Let $Y_{v}, v \in V,$ be $[0, 1]$ -valued random variables having a dependency graph $G = (V, E)$ . We show that \[ \mathbb{E}\left[\prod_{v\in V} Y_{v} \right] \leq \prod_{v\in V} \left\{…

cs.CG2015

A generalised isodiametric problem

Christos Pelekis

Fix positive integers $a$ and $b$ such that $a > b \geq 2$ and a positive real $δ > 0$ . Let $S$ be a planar set of diameter $δ$ having the following property: for every $a$ points in $…

math.PR2015★ 6 cited

Hoeffding's inequality for sums of weakly dependent random variables

Christos Pelekis, Jan Ramon

We provide a systematic approach to deal with the following problem. Let $X_{1}, \dots, X_{n}$ be, possibly dependent, $[0, 1]$ -valued random variables. What is a sharp upper bound on th…

math.PR2015★ 2 cited

On the Bernstein-Hoeffding method

Christos Pelekis, Jan Ramon, Yuyi Wang

We show that the Bernstein-Hoeffding method can be employed to a larger class of generalized moments. This class includes the exponential moments whose properties play a key role i…