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

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 er...

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Main Author: Mukhamedov, Farrukh
Format: Article
Language:English
Published: Springer 2013
Subjects:
Online Access:http://irep.iium.edu.my/30702/1/mf-RevMatCom%282013%29.pdf
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author Mukhamedov, Farrukh
author_facet Mukhamedov, Farrukh
author_sort Mukhamedov, Farrukh
collection IIUM
description 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.
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spelling oai:generic.eprints.org:307022013-08-05T07:22:04Z http://irep.iium.edu.my/30702/ On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications Mukhamedov, Farrukh QA Mathematics 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. Springer 2013 Article PeerReviewed application/pdf en http://irep.iium.edu.my/30702/1/mf-RevMatCom%282013%29.pdf 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 http://dx.doi.org/10.1007/s13163-012-0096-9 doi:10.1007/s13163-012-0096-9
spellingShingle QA Mathematics
Mukhamedov, Farrukh
On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications
title On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications
title_full On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications
title_fullStr On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications
title_full_unstemmed On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications
title_short On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications
title_sort on l 1 weak ergodicity of nonhomogeneous discrete markov processes and its applications
topic QA Mathematics
url http://irep.iium.edu.my/30702/1/mf-RevMatCom%282013%29.pdf
work_keys_str_mv AT mukhamedovfarrukh onl1weakergodicityofnonhomogeneousdiscretemarkovprocessesanditsapplications