Hidden Markov model with missing emissions

In a Hidden Markov model (HMM), from hidden states, the model generates emissions that are visible. Generally, the problems to be solved by such models, are based on such emissions that are considered as observed data. In this work, we propose to study the case where some emissions are missing in a given emission sequence using different techniques, in particular a split technique which reduces the computational cost. Mainly we resolve the fundamental problems of an HMM with a lack of observations. The algorithms obtained following this approach are successfully tested through numerical examples.