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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| Online Access: | http://irep.iium.edu.my/30702/ http://irep.iium.edu.my/30702/ http://irep.iium.edu.my/30702/ http://irep.iium.edu.my/30702/1/mf-RevMatCom%282013%29.pdf |
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iium-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 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Mukhamedov, Farrukh On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications |
| 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. |
| format |
Article |
| author |
Mukhamedov, Farrukh |
| author_facet |
Mukhamedov, Farrukh |
| author_sort |
Mukhamedov, Farrukh |
| title |
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_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_sort |
on l (1)-weak ergodicity of nonhomogeneous discrete markov processes and its applications |
| publisher |
Springer |
| publishDate |
2013 |
| url |
http://irep.iium.edu.my/30702/ http://irep.iium.edu.my/30702/ http://irep.iium.edu.my/30702/ http://irep.iium.edu.my/30702/1/mf-RevMatCom%282013%29.pdf |
| first_indexed |
2023-09-18T20:44:55Z |
| last_indexed |
2023-09-18T20:44:55Z |
| _version_ |
1777409610643144704 |