On the Viterbi process with continuous state space

Mathematics – Statistics Theory

Scientific paper

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20 pages, minor correctons, to appear in Bernoulli

Scientific paper

This paper deals with convergence of the maximum a posterior probability path
estimator in hidden Markov models. We show that when the state space of the
hidden process is continuous, the optimal path may stabilize in a way,
essentially different from the previously considered finite state setting.

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