2016•Dissertationes MathematicaeRequires access

On convergence in distribution of the Markov chain generated by the filter kernel induced by a fully dominated Hidden Markov Model

Thomas Kaijser

Abstract

Consider a Hidden Markov Model (HMM) such that both the state space and the observation space are complete, separable, metric spaces and for which both the transition probability function (tr.pr.f.) determining the hidden Markov chain of the HMM and

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Key concepts: Mathematics, Markov chain, Markov kernel, Hidden semi-Markov model, Variable-order Markov model, Markov property, Markov renewal process, Markov model

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On convergence in distribution of the Markov chain generated by the filter kernel induced by a fully dominated Hidden Markov Model — Research Paper | ScholarLens