Mixing property of a class of finite hidden non-homogeneous Markov models
Jie Sun · Journal of Chengdu University of Information Technology · 2009
The mixing property of the hidden non-homogeneous Markov models is studied.The sufficient condition for the non-homogeneous Markov chains to meet his kind of mixing property is given and proved.The results about the non-homogeneous Markov chains are extended to the hidden non-homogeneous Markov models,which provide some theoretical bases for the further study of the hidden Markov models and some practical problems such as modeling sequences of the weakly dependent random variables,speech processing,neurophysiology and biology.