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Licensed Unlicensed Requires Authentication Published by De Gruyter August 12, 2005

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

  • Asger Hobolth and Jens Ledet Jensen
From the journal Statistical Applications in Genetics and Molecular Biology
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
Published Online: 2005-8-12

©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston

From the journal
Statistical Applications in Genetics and Molecular Biology
Statistical Applications in Genetics and Molecular Biology
Volume 4 Issue 1

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