We consider a stationary Markovian evolution with values on a finite disjointly partitioned set space \(I\sqcup \mathcal{E}\) . The evolution is visible (in the sense of knowing the transition probabilities) on the states in I but not for the states in \(\mathcal{E}\) . One only knows some partial information on the transition probabilities on \(\mathcal{E}\) , the input and output transition probabilities and some constraints of the transition probabilities on \(\mathcal{E}\) . Under some conditions we supply the transition probabilities on \(\mathcal{E}\) that satisfies the maximum entropy principle.
