4 papers
Quasi-independence models with rational maximum likelihood estimator
Jane Ivy Coons, Seth Sullivant
We classify the two-way independence quasi-independence models (or independence models with structural zeros) that have rational maximum likelihood estimators, or MLEs. We give a n…
Maximum likelihood degree of the two-dimensional linear Gaussian covariance model
Jane Ivy Coons, Orlando Marigliano, Michael Ruddy
In algebraic statistics, the maximum likelihood degree of a statistical model is the number of complex critical points of its log-likelihood function. A priori knowledge of this nu…
The -polynomial of the order polytope of the zig-zag poset
Jane Ivy Coons, Seth Sullivant
We describe a family of shellings for the canonical triangulation of the order polytope of the zig-zag poset. This gives a new combinatorial interpretation for the coefficients in…
The Cavender-Farris-Neyman Model with a Molecular Clock
Jane Ivy Coons, Seth Sullivant
We give a combinatorial description of the toric ideal of invariants of the Cavender-Farris-Neyman model with a molecular clock (CFN-MC) on a rooted binary phylogenetic tree and pr…