Maximum likelihood estimation and natural pairwise estimating equations are identical for three sequences and a symmetric 2-state substitution model
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Maximum likelihood estimation and natural pairwise estimating equations are identical for three sequences and a symmetric 2-state substitution model. / Hobolth, Asger; Wiuf, Carsten.
In: Theoretical Population Biology, Vol. 156, 2024, p. 1-4.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Maximum likelihood estimation and natural pairwise estimating equations are identical for three sequences and a symmetric 2-state substitution model
AU - Hobolth, Asger
AU - Wiuf, Carsten
N1 - Publisher Copyright: © 2024 The Authors
PY - 2024
Y1 - 2024
N2 - Consider the problem of estimating the branch lengths in a symmetric 2-state substitution model with a known topology and a general, clock-like or star-shaped tree with three leaves. We show that the maximum likelihood estimates are analytically tractable and can be obtained from pairwise sequence comparisons. Furthermore, we demonstrate that this property does not generalize to larger state spaces, more complex models or larger trees. Our arguments are based on an enumeration of the free parameters of the model and the dimension of the minimal sufficient data vector. Our interest in this problem arose from discussions with our former colleague Freddy Bugge Christiansen.
AB - Consider the problem of estimating the branch lengths in a symmetric 2-state substitution model with a known topology and a general, clock-like or star-shaped tree with three leaves. We show that the maximum likelihood estimates are analytically tractable and can be obtained from pairwise sequence comparisons. Furthermore, we demonstrate that this property does not generalize to larger state spaces, more complex models or larger trees. Our arguments are based on an enumeration of the free parameters of the model and the dimension of the minimal sufficient data vector. Our interest in this problem arose from discussions with our former colleague Freddy Bugge Christiansen.
KW - Maximum likelihood estimation
KW - Pairwise comparisons
KW - Phylogenetic trees
U2 - 10.1016/j.tpb.2023.12.004
DO - 10.1016/j.tpb.2023.12.004
M3 - Journal article
C2 - 38184209
AN - SCOPUS:85182707525
VL - 156
SP - 1
EP - 4
JO - Theoretical Population Biology
JF - Theoretical Population Biology
SN - 0040-5809
ER -
ID: 381062110