Continuity properties of a factor of Markov chains

Starting from a Markov chain with a finite alphabet, we consider the chain obtained when all but one symbol are undistinguishable for the practitioner. We study necessary and sufficient conditions for this chain to have continuous transition probabilities with respect to the past.

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Hauptverfasser:	de Carvalho, Walter A. F, Gallo, Sandro, Garcia, Nancy L
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Sprache:	eng
Schlagworte:	Mathematics - Probability
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creator	de Carvalho, Walter A. F Gallo, Sandro Garcia, Nancy L
description	Starting from a Markov chain with a finite alphabet, we consider the chain obtained when all but one symbol are undistinguishable for the practitioner. We study necessary and sufficient conditions for this chain to have continuous transition probabilities with respect to the past.
doi_str_mv	10.48550/arxiv.1409.6168
format	Article
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title	Continuity properties of a factor of Markov chains
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