title: A sufficient condition for reducing recursions in hidden Markov models.
abstract: In hidden Markov models, the probability of observing a set of strings can be computed using recursion relations. We construct a sufficient condition for simplifying the recursion relations for a certain class of hidden Markov models. If the condition is satisfied, then one can construct a reduced recursion where the dependence on Markov states completely disappears. We discuss a specific example--namely, statistical multiple alignment based on the TKF-model--in which the sufficient condition is satisfied.
authors.affiliation: Department of Statistics, University of Oxford, 1 South Parks Road, Oxford, OX1 3TG, UK. yssong@cs.ucdavis.edu
authors.forename: Yun S
authors.initials: YS
authors.lastname: Song
mesh_terms: D000465:Algorithms; D008390:Markov Chains; D015233:Models, Statistical; D011336:Probability; D013269:Stochastic Processes