Varieties with maximum likelihood degree one
Algebraic Geometry
2014-06-03 v4 Statistics Theory
Statistics Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1301.2732,
title = {Varieties with maximum likelihood degree one},
author = {June Huh},
journal= {arXiv preprint arXiv:1301.2732},
year = {2014}
}
Comments
14 pages, changed title, minor revision