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MARKOV SOURCE (mth order)

From glossaLAB
Charles François (2004). MARKOV SOURCE (mth order), International Encyclopedia of Systems and Cybernetics, 2(1): 2009.
Collection International Encyclopedia of Systems and Cybernetics
Year 2004
Vol. (num.) 2(1)
ID 2009
Object type Methodology or model
“An alphabet of events in which the probability of occurence of a given number of the alphabet is a function of the m preceeding occurences” (K. SAYRE, 1976, p.29)

This is the generalized case of the first-order MARKOV source, “one in which the identity of each successive event (each output event) is a probabilistic function of the event immediately preceeding (a specific input-event)”.

K. SAYRE adds: “The mutual convertibility of a single alphabet information channel (a cascade of channels) with its corresponding MARKOV source is guaranteed by the fact that both can be completely characterized by a conditional probability matrix of the same basic form” (p.29-30).

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