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This article focuses on the study of toric algebraic statistical models whichcorrespond to toric Del Pezzo surfaces with Du Val singularities. A closed-formfor the Maximum Likelihood Estimate of algebraic statistical models whichcorrespond to cubic and quartic toric Del Pezzo surfaces with Du Val singularpoints is given. Also, we calculate the ML degrees of some toric Del Pezzosurfaces of degree less than or equal to six, which equals the degree of thesurface in all the case but one, namely the quintic with two points of type$\mathbb{A}_1$.

A note on Maximum Likelihood Estimation for cubic and quartic canonical toric del Pezzo Surfaces