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\{…