Parameter estimation in pair hidden Markov models

Details Parameter estimation in pair hidden Markov models Parameter estimation in pair hidden Markov models

2005-09-13

arxiv.org/abs/math/0509280v2

Scandinavian Journal of Statistics, Volume 33, Issue 4, pages 651-671, December 2006

Mathematics

Statistics Theory

corrected typos

Scientific paper

10.1111/j.1467-9469.2006.00513.x

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.

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