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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| Format: | Article |
| Language: | English |
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Springer
2013
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| Online Access: | http://irep.iium.edu.my/30702/1/mf-RevMatCom%282013%29.pdf |
| _version_ | 1825647358142054400 |
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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. |
| first_indexed | 2024-03-05T23:16:25Z |
| format | Article |
| id | oai:generic.eprints.org:30702 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T23:16:25Z |
| publishDate | 2013 |
| publisher | Springer |
| record_format | dspace |
| 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 |