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

Hobolth Asger and Jensen Jens Ledet
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Hobolth Asger: Bioinformatics Research Center, University of Aarhus, Denmark
Jensen Jens Ledet: Department of Theoretical Statistics, University of Aarhus, Denmark

Statistical Applications in Genetics and Molecular Biology, 2005, vol. 4, issue 1, 22

Abstract: 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 (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (5)

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DOI: 10.2202/1544-6115.1127

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