On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications

Mukhamedov, Farrukh (2013) On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications. Revista Matemática Complutense, 26 (2). pp. 799-813. ISSN 1139-1138

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Abstract

In the present paper we investigate the L1-weak ergodicity of nonhomogeneous discrete Markov processes with general state spaces. Note that the L1-weak ergodicity is weaker than well-known weak ergodicity.We provide a necessary and sufficient condition for such processes to satisfy the L1-weak ergodicity. Moreover, we apply the obtained results to establish L1-weak ergodicity of discrete time quadratic stochastic processes. As an application of the main result, certain concrete examples are also provided.

Item Type:	Article (Journal)
Additional Information:	5537/30702
Uncontrolled Keywords:	Weak ergodicity · Nonhomogeneous discrete Markov process· The Doeblin’s Condition · Quadratic stochastic process
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. Farrukh Mukhamedov
Date Deposited:	05 Aug 2013 15:22
Last Modified:	05 Aug 2013 15:22
URI:	http://irep.iium.edu.my/id/eprint/30702

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