Stationary Probability Vectors of Higher-order Markov Chains

Published 14 Mar 2013 in math.PR | (1303.3639v2)

Abstract: We consider the higher-order Markov Chain, and characterize the second order Markov chains admitting every probability distribution vector as a stationary vector. The result is used to construct Markov chains of higher-order with the same property. We also study conditions under which the set of stationary vectors of the Markov chain has a certain affine dimension.

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