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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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Main Authors: Saburov, Mansoor, Yusof, Nur Atikah
Format: Article
Language:English
English
Published: Elsevier Science Inc 2016
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/51166/1/Counterexamples_of_QSO_---_LAA.pdf
http://irep.iium.edu.my/51166/4/51166_Counterexamples_wos_scopus.pdf
http://irep.iium.edu.my/51166/
http://www.sciencedirect.com/science/article/pii/S0024379516302294
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spelling my.iium.irep.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 REM 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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
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/51166/1/Counterexamples_of_QSO_---_LAA.pdf
http://irep.iium.edu.my/51166/4/51166_Counterexamples_wos_scopus.pdf
http://irep.iium.edu.my/51166/
http://www.sciencedirect.com/science/article/pii/S0024379516302294
_version_ 1643613894509330432
score 13.244368

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