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math.PR2020
Species tree estimation under joint modeling of coalescence and duplication: sample complexity of quartet methods
Max Hill, Brandon Legried, Sebastien Roch
We consider species tree estimation under a standard stochastic model of gene tree evolution that incorporates incomplete lineage sorting (as modeled by a coalescent process) and g…
math.PR2020
Impossibility of consistent distance estimation from sequence lengths under the TKF91 model
Wai-Tong Louis Fan, Brandon Legried, Sebastien Roch
We consider the problem of distance estimation under the TKF91 model of sequence evolution by insertions, deletions and substitutions on a phylogeny. In an asymptotic regime where…