A modified hidden Markov model
Copyright policy )A modified hidden Markov model
This paper considers two discrete time, finite state processes X and Y. In the usual hidden Markov model X modulates the values of Y. However, the values of Y are then i.i.d. given X. In this paper a new model is considered where the Markov chain X modulates the transition probabilities of the second, observed chain Y. This more realistically can represent problems arising in DNA sequencing. Algorithms for all related filters, smoothers and parameter estimations are derived. Versions of the Viterbi algorithms are obtained.
- University of Calgary Canada
- University of South Australia Australia
- University of Adelaide Australia
Hidden Markov model, Smoother, Filter, Parameter estimation, Genome sequencing, EM algorithm, Viterbi estimates
Hidden Markov model, Smoother, Filter, Parameter estimation, Genome sequencing, EM algorithm, Viterbi estimates
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