Hidden Markov models are today widespread for modeling of various phenomena. It has recently been shown by Leroux that the maximum-likelihood estimate (MLE) of the parameters of a such a model is consistent, and local asymptotic normality has been proved by Bickel and Ritov. In this paper we propose a new class of estimates which are consistent, asymptotically normal and almost as good as the MLE.
@article{1176325762,
author = {Ryden, Tobias},
title = {Consistent and Asymptotically Normal Parameter Estimates for Hidden Markov Models},
journal = {Ann. Statist.},
volume = {22},
number = {1},
year = {1994},
pages = { 1884-1895},
language = {en},
url = {http://dml.mathdoc.fr/item/1176325762}
}
Ryden, Tobias. Consistent and Asymptotically Normal Parameter Estimates for Hidden Markov Models. Ann. Statist., Tome 22 (1994) no. 1, pp. 1884-1895. http://gdmltest.u-ga.fr/item/1176325762/