arXiv:1409.6168 Abstract | arXiv Analytics

arXiv:1409.6168 [math.PR]Abstract References Reviews Resources

Continuity properties of a factor of Markov chains

Walter A. F. de Carvalho, Sandro Gallo, Nancy L. Garcia

Published 2014-09-22Version 1

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.

Categories: math.PR

Subjects: 60K05

Keywords: markov chain, continuity properties, study necessary, sufficient conditions, continuous transition probabilities

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