Counterexamples to the conjecture on stationary probability vectors of the second-order Markov chains

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

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	6769/51166
Uncontrolled Keywords:	Transition hypermatrix, The second-order Markov chain, Stationary probability vecto
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr Mansoor Saburov
Date Deposited:	27 Jun 2016 11:41
Last Modified:	10 Apr 2017 10:21
URI:	http://irep.iium.edu.my/id/eprint/51166

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