Phase transition on the convergence rate of parameter estimation under an Ornstein-Uhlenbeck diffusion on a tree.

Abstract excerpt

Diffusion processes on trees are commonly used in evolutionary biology to model the joint distribution of continuous traits, such as body mass, across species. Estimating the parameters of such processes from tip values presents challenges because of the intrinsic correlation between the observations produced by the shared evolutionary history, thus violating the standard independence assumption of large-sample...

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