Why non-uniform priors on clades are both unavoidable and unobjectionable.

@article{Velasco2007WhyNP,
  title={Why non-uniform priors on clades are both unavoidable and unobjectionable.},
  author={Joel D. Velasco},
  journal={Molecular phylogenetics and evolution},
  year={2007},
  volume={45 2},
  pages={748-9}
}
Pickett and Randle (2005) showed that for n > 4 taxa, any prior probability distribution that is uniform with respect to tree topologies induces a non-uniform distribution on clades. Steel and Pickett (2006) then strengthened this result by proving that any label invariant distribution on trees induces a non-uniform prior on clades, but left open the possibility of a uniform distribution on clades that is not label invariant. The point of this letter is to show that uniform priors on clades are… CONTINUE READING

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