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arxiv: 2009.11849 · v2 · pith:XY67EZ5M · submitted 2020-09-24 · math.ST · math.AG· stat.TH

Reciprocal Maximum Likelihood Degrees of Brownian Motion Tree Models

Tobias Boege , Jane Ivy Coons , Christopher Eur , Aida Maraj , Frank R\"ottger This is my paper

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classification math.ST math.AGstat.TH
keywords treemodelsbrownianmotionlikelihoodmaximumreciprocaltoric
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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.

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