Dans cette Note nous introduisons un modèle semi-markovien caché à temps discret et nous prouvons que les estimateurs du maximum de vraisemblance non-paramétrique d'un tel modèle ont de bonnes propriétés asymptotiques, à savoir la convergence et la normalité asymptotique.
In this Note we consider a discrete-time hidden semi-Markov model and we prove that the nonparametric maximum likelihood estimators for the characteristics of such a model have nice asymptotic properties, namely consistency and asymptotic normality.
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Vlad Barbu 1 ; Nikolaos Limnios 1
@article{CRMATH_2006__342_3_201_0, author = {Vlad Barbu and Nikolaos Limnios}, title = {Maximum likelihood estimation for hidden {semi-Markov} models}, journal = {Comptes Rendus. Math\'ematique}, pages = {201--205}, publisher = {Elsevier}, volume = {342}, number = {3}, year = {2006}, doi = {10.1016/j.crma.2005.12.013}, language = {en}, }
Vlad Barbu; Nikolaos Limnios. Maximum likelihood estimation for hidden semi-Markov models. Comptes Rendus. Mathématique, Volume 342 (2006) no. 3, pp. 201-205. doi : 10.1016/j.crma.2005.12.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.12.013/
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