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. 2014 Jun 23;9(6):e100295. doi: 10.1371/journal.pone.0100295

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© 2014 Seifert et al

This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.

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State space representations of selected models included in the class of autoregressive higher-order HMMs. Hidden states are denoted by and emissions are denoted by for . Arrows between nodes define modeled statistical dependencies. a) Standard mixture model (AR()-HMM()). b) Mixture model with second-order autoregressive emissions (AR()-HMM()). c) Standard HMM with first-order state-transitions (AR()-HMM()). d) Standard higher-order HMM with second-order state-transitions (AR()-HMM()). e) Autoregressive higher-order HMM with second-order state-transitions and second-order autoregressive emissions (AR()-HMM()).

Inline graphic — State space representations of selected models included in the class of autoregressive higher-order HMMs. Hidden states are denoted by and emissions are denoted by for . Arrows between nodes define modeled statistical dependencies. a) Standard mixture model (AR()-HMM()). b) Mixture model with second-order autoregressive emissions (AR()-HMM()). c) Standard HMM with first-order state-transitions (AR()-HMM()). d) Standard higher-order HMM with second-order state-transitions (AR()-HMM()). e) Autoregressive higher-order HMM with second-order state-transitions and second-order autoregressive emissions (AR()-HMM()).