How to Find a Joint Probability Distribution of Minimum Entropy (almost) given the Marginals

Ferdinando Cicalese, Luisa Gargano, Ugo Vaccaro

Given two discrete random variables $X$ and $Y$, with probability distributions $\mathbf{p}=(p_1,\dots ,p_n)$ and $\mathbf{q}=(q_1,\dots ,q_m)$, respectively, denote by ${\cal C}(…