Varieties with maximum likelihood degree one discriminant Horn uniformization maximum likelihood 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. Huh, June 2014 2014-04-30 Article application/pdf islandora:1007817 http://hdl.handle.net/10560/islandora:1007817 MATH / Applied Mathematics Illinois Institute of Technology Journal of Algebraic Statistics en Open Access