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Letter to the Editor—Some Invalid Properties of Markov Chains

Paul J. Schweitzer
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Paul J. Schweitzer: Institute for Defense, Analyses, Arlington, Virginia

Operations Research, 1966, vol. 14, issue 6, 1153-1154

Abstract: Let, P A , P B , and P A P B denote the transition probability matrices of finite Markov chains A , B , and the “product chain” AB . It is demonstrated by counterexamples that the sets of recurrent, periodic, and transient states of A and B cannot be simply related to the corresponding sets of AB .

Date: 1966
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