Mitigating consequences of the Markov property

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I presented the results of my master thesis which focussed on methods for mitigation the undesired consequences of the Markov assumption in hidden Markov models. In particular, I derived properties of the state process of periodically inhomogeneous Markov chains, and extended the model class of hidden semi-Markov models to allow for inhomogeneity in the state dwell-time distributinos. You can download the slides here