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Statistical Applications in Genetics and Molecular Biology

Editor-in-Chief: Sanguinetti, Guido

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Volume 4, Issue 1


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Statistical Inference in Evolutionary Models of DNA Sequences via the EM Algorithm

Asger Hobolth / Jens Ledet Jensen
Published Online: 2005-08-12 | DOI: https://doi.org/10.2202/1544-6115.1127

We describe statistical inference in continuous time Markov processes of DNA sequences related by a phylogenetic tree. The maximum likelihood estimator can be found by the expectation maximization (EM) algorithm and an expression for the information matrix is also derived. We provide explicit analytical solutions for the EM algorithm and information matrix.

Keywords: continuous time Markov chain; EM algorithm; information matrix; likelihood inference; molecular evolution

About the article

Published Online: 2005-08-12

Citation Information: Statistical Applications in Genetics and Molecular Biology, Volume 4, Issue 1, ISSN (Online) 1544-6115, ISSN (Print) 2194-6302, DOI: https://doi.org/10.2202/1544-6115.1127.

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