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...
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Elsevier Science Inc
2016
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| 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 |
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iium-511662017-04-10T02:21:55Z http://irep.iium.edu.my/51166/ Counterexamples to the conjecture on stationary probability vectors of the second-order Markov chains Saburov, Mansoor Yusof, Nur Atikah QA Mathematics 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. Elsevier Science Inc 2016-06-10 Article PeerReviewed application/pdf en http://irep.iium.edu.my/51166/1/Counterexamples_of_QSO_---_LAA.pdf application/pdf en http://irep.iium.edu.my/51166/4/51166_Counterexamples_wos_scopus.pdf Saburov, Mansoor and Yusof, Nur Atikah (2016) Counterexamples to the conjecture on stationary probability vectors of the second-order Markov chains. Linear Algebra and its Applications, 507. pp. 153-157. ISSN 0024-3795 http://www.sciencedirect.com/science/article/pii/S0024379516302294 10.1016/j.laa.2016.06.012 |
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Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
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IIUM Repository |
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Online Access |
| language |
English English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Saburov, Mansoor Yusof, Nur Atikah Counterexamples to the conjecture on stationary probability vectors of the second-order Markov chains |
| description |
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. |
| format |
Article |
| author |
Saburov, Mansoor Yusof, Nur Atikah |
| author_facet |
Saburov, Mansoor Yusof, Nur Atikah |
| author_sort |
Saburov, Mansoor |
| title |
Counterexamples to the conjecture on stationary probability vectors of the second-order Markov chains |
| title_short |
Counterexamples to the conjecture on stationary probability vectors of the second-order Markov chains |
| title_full |
Counterexamples to the conjecture on stationary probability vectors of the second-order Markov chains |
| title_fullStr |
Counterexamples to the conjecture on stationary probability vectors of the second-order Markov chains |
| title_full_unstemmed |
Counterexamples to the conjecture on stationary probability vectors of the second-order Markov chains |
| title_sort |
counterexamples to the conjecture on stationary probability vectors of the second-order markov chains |
| publisher |
Elsevier Science Inc |
| publishDate |
2016 |
| url |
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 |
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2023-09-18T21:12:24Z |
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2023-09-18T21:12:24Z |
| _version_ |
1777411340253528064 |