On the Ziv-Merhav theorem beyond Markovianity
arXiv:2310.01367 · doi:10.4153/S0008414X24000178
Abstract
We generalize to a broader class of decoupled measures a result of Ziv and Merhav on universal estimation of the specific cross (or relative) entropy for a pair of multi-level Markov measures. The result covers pairs of suitably regular g-measures and pairs of equilibrium measures arising from the small space of interactions in mathematical statistical mechanics.
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