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- W2069625526 abstract "For a stationary two-sided Markov chain (Xn)n∈Z with finite state-space I and a partition I=⋃ν=0s-1Iν we consider the aggregated sequence defined by Yn=ν if Xn∈Iν, which is also stationary but in general not Markovian. We present a tractable way to determine the transition probabilities of (Yn)n∈Z, either given a finite part of its past or given its infinite past. These probabilities are linked to the Radon–Nikodym derivative of PUn|Xn=i with respect to PUn, where Un=∑m=1∞s-mYn-m." @default.
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- W2069625526 date "2005-10-01" @default.
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- W2069625526 title "The evolution of aggregated Markov chains" @default.
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- W2069625526 doi "https://doi.org/10.1016/j.spl.2005.04.052" @default.
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