Counterexamples to the conjecture on stationary probability vectors of the second-order Markov chains
It was conjectured in the paper “Stationary probability vec-tors of higher-order Markov chains” (Li and Zhang, 2015[7])that if the set of stationary vectors of the second-order Markov chain contains k-interior points of the (k−1)-dimensional face of the simplex Ωnthen every vector in the (k−1)-dimen...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
Elsevier Science Inc
2016
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/51166/ http://irep.iium.edu.my/51166/ http://irep.iium.edu.my/51166/ http://irep.iium.edu.my/51166/1/Counterexamples_of_QSO_---_LAA.pdf http://irep.iium.edu.my/51166/4/51166_Counterexamples_wos_scopus.pdf |
| Summary: | It was conjectured in the paper “Stationary probability vec-tors of higher-order Markov chains” (Li and Zhang, 2015[7])that if the set of stationary vectors of the second-order Markov chain contains k-interior points of the (k−1)-dimensional face of the simplex Ωnthen every vector in the (k−1)-dimensional face is a stationary vector. In this paper, we provide coun-terexamples to this conjecture. |
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