Impossibility of consistent distance estimation from sequence lengths under the TKF91 model

Autor: Fan, Wai-Tong Louis, Legried, Brandon, Roch, Sebastien
Rok vydání: 2020
Předmět:
Zdroj: Bulletin of Mathematical Biology. Vol 82 (9), 2020
Druh dokumentu: Working Paper
Popis: 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 the expected sequence lengths tend to infinity, we show that no consistent distance estimation is possible from sequence lengths alone. More formally, we establish that the distributions of pairs of sequence lengths at different distances cannot be distinguished with probability going to one.
Comment: 11 pages, 1 figure
Databáze: arXiv