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 |
| Published: |
Springer
2013
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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 |
| 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.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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