# Varieties with maximum likelihood degree one

@article{Huh2013VarietiesWM, title={Varieties with maximum likelihood degree one}, author={June Huh}, journal={arXiv: Algebraic Geometry}, year={2013} }

We show that algebraic varieties with maximum likelihood degree one are exactly the images of reduced A-discriminantal varieties under monomial maps with finite fibers. The maximum likelihood estimator corresponding to such a variety is Kapranov's Horn uniformization. This extends Kapranov's characterization of A-discriminantal hypersurfaces to varieties of arbitrary codimension.

## 25 Citations

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. We propose a classiﬁcation of all one-dimensional discrete statistical models with maximum likelihood degree one based on their rational parametrization. We show how all such models can be…

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