Maximum likelihood estimation and natural pairwise estimating equations are identical for three sequences and a symmetric 2-state substitution model

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

Maximum likelihood estimation and natural pairwise estimating equations are identical for three sequences and a symmetric 2-state substitution model. / Hobolth, Asger; Wiuf, Carsten.

I: Theoretical Population Biology, Bind 156, 2024, s. 1-4.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Hobolth, A & Wiuf, C 2024, 'Maximum likelihood estimation and natural pairwise estimating equations are identical for three sequences and a symmetric 2-state substitution model', Theoretical Population Biology, bind 156, s. 1-4. https://doi.org/10.1016/j.tpb.2023.12.004

APA

Hobolth, A., & Wiuf, C. (2024). Maximum likelihood estimation and natural pairwise estimating equations are identical for three sequences and a symmetric 2-state substitution model. Theoretical Population Biology, 156, 1-4. https://doi.org/10.1016/j.tpb.2023.12.004

Vancouver

Hobolth A, Wiuf C. Maximum likelihood estimation and natural pairwise estimating equations are identical for three sequences and a symmetric 2-state substitution model. Theoretical Population Biology. 2024;156:1-4. https://doi.org/10.1016/j.tpb.2023.12.004

Author

Hobolth, Asger ; Wiuf, Carsten. / Maximum likelihood estimation and natural pairwise estimating equations are identical for three sequences and a symmetric 2-state substitution model. I: Theoretical Population Biology. 2024 ; Bind 156. s. 1-4.

Bibtex

@article{1a95ce034e26489da9583db417c586de,
title = "Maximum likelihood estimation and natural pairwise estimating equations are identical for three sequences and a symmetric 2-state substitution model",
abstract = "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.",
keywords = "Maximum likelihood estimation, Pairwise comparisons, Phylogenetic trees",
author = "Asger Hobolth and Carsten Wiuf",
note = "Publisher Copyright: {\textcopyright} 2024 The Authors",
year = "2024",
doi = "10.1016/j.tpb.2023.12.004",
language = "English",
volume = "156",
pages = "1--4",
journal = "Theoretical Population Biology",
issn = "0040-5809",
publisher = "Academic Press",

}

RIS

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