Inference in hidden Markov models I: Local asymptotic normality in the stationary case
Bickel, Peter J. ; Ritov, Ya'acov
Bernoulli, Tome 2 (1996) no. 3, p. 199-228 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Following up on work by Baum and Petrie published 30 years ago, we study likelihood-based methods in hidden Markov models, where the hiding mechanism can lead to continuous observations and is itself governed by a parametric model. We show that procedures essentially equivalent to maximum likelihood estimates are asymptotically normal as expected and consistent estimates of the variance can be constructed, so that the usual inferential procedures are asymptotically valid.
Publié le : 1996-09-14
Classification:  geometric ergodicity,  hidden Markov models,  local asymptotic normality,  maximum likelihood 
@article{1178291719,
     author = {Bickel, Peter J. and Ritov, Ya'acov},
     title = {Inference in hidden Markov models I: Local asymptotic normality in the stationary case},
     journal = {Bernoulli},
     volume = {2},
     number = {3},
     year = {1996},
     pages = { 199-228},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178291719}
}

Bickel, Peter J.; Ritov, Ya'acov. Inference in hidden Markov models I: Local asymptotic normality in the stationary case. Bernoulli, Tome 2 (1996) no. 3, pp.  199-228. http://gdmltest.u-ga.fr/item/1178291719/