Entropy-rate maximization is defined on feasible classes of hidden stationary laws induced by partial observability, with proofs of existence, uniqueness under fixed-context marginals, and characterizations via conditional mutual information.
Billingsley,Probability and Measure, 3rd ed., John Wiley & Sons
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Entropy-Rate Selection for Partially Observed Processes
Entropy-rate maximization is defined on feasible classes of hidden stationary laws induced by partial observability, with proofs of existence, uniqueness under fixed-context marginals, and characterizations via conditional mutual information.