Parameter estimation in pair hidden Markov models
Statistics Theory
2010-12-09 v2 Statistics Theory
Abstract
This paper deals with parameter estimation in pair hidden Markov models (pair-HMMs). We first provide a rigorous formalism for these models and discuss possible definitions of likelihoods. The model being biologically motivated, some restrictions with respect to the full parameter space naturally occur. Existence of two different Information divergence rates is established and divergence property (namely positivity at values different from the true one) is shown under additional assumptions. This yields consistency for the parameter in parametrization schemes for which the divergence property holds. Simulations illustrate different cases which are not covered by our results.
Cite
@article{arxiv.math/0509280,
title = {Parameter estimation in pair hidden Markov models},
author = {Ana Arribas-Gil and Elisabeth Gassiat and Catherine Matias},
journal= {arXiv preprint arXiv:math/0509280},
year = {2010}
}
Comments
corrected typos