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

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

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.

Submitted: January 24, 2005 · Accepted: June 13, 2005 · Published: August 12, 2005

Recommended Citation

Hobolth, Asger and Jensen, Jens Ledet (2005) "Statistical Inference in Evolutionary Models of DNA Sequences via the EM Algorithm," Statistical Applications in Genetics and Molecular Biology: Vol. 4 : Iss. 1, Article 18.
Available at: http://www.bepress.com/sagmb/vol4/iss1/art18

 
 
 
 

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