# Families of polytopes with rational linear precision in higher dimensions

@inproceedings{Davies2021FamiliesOP, title={Families of polytopes with rational linear precision in higher dimensions}, author={Isobel Davies and Eliana Duarte and Irem Portakal and Miruna-Stefana Sorea}, year={2021} }

In this article we introduce a new family of lattice polytopes with rational linear precision. For this purpose, we define a new class of discrete statistical models that we call multinomial staged tree models. We prove that these models have rational maximum likelihood estimators (MLE) and give a criterion for these models to be log-linear. Our main result is then obtained by applying Garcia-Puente and Sottile’s theorem that establishes a correspondence between polytopes with rational linear… Expand

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