Estimation in autoregressive models with Markov regime
  In this paper we derive the consistency of the penalized likelihood method for the number state of the hidden Markov chain in autoregressive models with Markov regimen. Using a SAEM type algorithm to estimate the models parameters. We test the null hypothesis of hidden Markov Model against an autoregressive process with Markov regime. 
Ricardo R\'ios and Luis Rodr\'iguez