English

Reciprocal Maximum Likelihood Degrees of Brownian Motion Tree Models

Statistics Theory 2021-10-27 v2 Algebraic Geometry Statistics Theory

Abstract

We give an explicit formula for the reciprocal maximum likelihood degree of Brownian motion tree models. To achieve this, we connect them to certain toric (or log-linear) models, and express the Brownian motion tree model of an arbitrary tree as a toric fiber product of star tree models.

Keywords

Cite

@article{arxiv.2009.11849,
  title  = {Reciprocal Maximum Likelihood Degrees of Brownian Motion Tree Models},
  author = {Tobias Boege and Jane Ivy Coons and Christopher Eur and Aida Maraj and Frank Röttger},
  journal= {arXiv preprint arXiv:2009.11849},
  year   = {2021}
}

Comments

16 pages, 2 figures; v2: minor revision