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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| Language: | English English |
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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/51166/1/Counterexamples_of_QSO_---_LAA.pdf http://irep.iium.edu.my/51166/4/51166_Counterexamples_wos_scopus.pdf |
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| author | Saburov, Mansoor Yusof, Nur Atikah |
| author_facet | Saburov, Mansoor Yusof, Nur Atikah |
| author_sort | Saburov, Mansoor |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T16:27:04Z |
| format | Article |
| id | iium-51166 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:27:04Z |
| publishDate | 2016 |
| publisher | Elsevier Science Inc |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | 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 |
| spellingShingle | QA Mathematics Saburov, Mansoor Yusof, Nur Atikah Counterexamples to the conjecture on stationary probability vectors of the second-order Markov chains |
| title | 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_short | 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 |
| topic | QA Mathematics |
| 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 |