On L1-weak ergodicity of markov processes

Mukhamedov, Farrukh (2013) On L1-weak ergodicity of markov processes. Middle-East Journal of Scientific Research, 13. pp. 64-69. ISSN 1990-9233

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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. It was known a necessary and sufficient condition for such processes to satisfy the weak ergodicity. In this paper we provide a necessary and sufficient condition for nonhomogeneous discrete Markov processes to satisfy the L1-weak ergodicity. Moreover, as an application of the main result, we provide more concrete examples of Markov processes which satisfy the L1-weak ergodicity.

Item Type:	Article (Journal)
Additional Information:	5537/29959
Uncontrolled Keywords:	Weak ergodicity · nonhomogeneous Markov process · the Doeblin’s condition
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:	22 Apr 2013 11:44
Last Modified:	23 Dec 2016 12:22
URI:	http://irep.iium.edu.my/id/eprint/29959

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