Statistical Inference in Evolutionary Models of DNA Sequences via the EM Algorithm
by Asger Hobolth and Jens Ledet Jensen
Research Reports
Number 455 (February 2005)
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 EM algorithm and an expression of the information matrix is also derived. We provide closed-form analytical solutions of the EM algorithm and information matrix in the case of a reversible substitution process.