On L1-weak ergodicity of markov processes
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 ergod...
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| Format: | Article |
| Language: | English |
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IDOSI Publications
2013
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| Online Access: | http://irep.iium.edu.my/29959/ http://irep.iium.edu.my/29959/1/mf-MidEJSR%282013%29.pdf |
| _version_ | 1848780216567070720 |
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| author | Mukhamedov, Farrukh |
| author_facet | Mukhamedov, Farrukh |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| 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. 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. |
| first_indexed | 2025-11-14T15:30:09Z |
| format | Article |
| id | iium-29959 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:30:09Z |
| publishDate | 2013 |
| publisher | IDOSI Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-299592016-12-23T04:22:48Z http://irep.iium.edu.my/29959/ On L1-weak ergodicity of markov processes 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. 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. IDOSI Publications 2013 Article PeerReviewed application/pdf en http://irep.iium.edu.my/29959/1/mf-MidEJSR%282013%29.pdf Mukhamedov, Farrukh (2013) On L1-weak ergodicity of markov processes. Middle-East Journal of Scientific Research, 13. pp. 64-69. ISSN 1990-9233 http://www.idosi.org/mejsr/mejsr13(mae)13/10.pdf 10.5829/idosi.mejsr.2013.13.mae.99922 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh On L1-weak ergodicity of markov processes |
| title | On L1-weak ergodicity of markov processes |
| title_full | On L1-weak ergodicity of markov processes |
| title_fullStr | On L1-weak ergodicity of markov processes |
| title_full_unstemmed | On L1-weak ergodicity of markov processes |
| title_short | On L1-weak ergodicity of markov processes |
| title_sort | on l1-weak ergodicity of markov processes |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/29959/ http://irep.iium.edu.my/29959/ http://irep.iium.edu.my/29959/ http://irep.iium.edu.my/29959/1/mf-MidEJSR%282013%29.pdf |