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

12 January 2005

journal article
Published by Walter de Gruyter GmbH in Statistical Applications in Genetics and Molecular Biology

Vol. 4 (1) , Article18
https://doi.org/10.2202/1544-6115.1127

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

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