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Recursive identification of HMMs with observations in a finite set

François Le Gland 1 Laurent Mevel 1
1 AS - Signal Processing and Control
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, INRIA Rennes
Abstract : We consider the problem of identification of a partially observed finite-state Markov chain, based on observations in a finite set. We first investigate the asymptotic behaviour of the maximum likelihood estimate (MLE) for the transition probabilities, as the number of observations increases to infinity. In particular, we exhibit the associated contrast function, and discuss consistency issues. Based on this expression, we design a recursive identification algorithm, which converges to the set of local minima of the contrast function.
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https://hal.inria.fr/hal-00912078
Contributor : Francois Le Gland <>
Submitted on : Friday, December 20, 2013 - 6:19:13 PM
Last modification on : Tuesday, June 15, 2021 - 4:22:17 PM

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François Le Gland, Laurent Mevel. Recursive identification of HMMs with observations in a finite set. Proceedings of the 34th Conference on Decision and Control, New Orleans 1995, IEEE--CSS, Dec 1995, New Orleans, United States. pp.216-221, ⟨10.1109/CDC.1995.478681⟩. ⟨hal-00912078⟩

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