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/ http://irep.iium.edu.my/29959/ http://irep.iium.edu.my/29959/1/mf-MidEJSR%282013%29.pdf |
| Summary: | 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. |
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