Ergodic properties of non-homogeneous Markov chains on ordered Banach spaces
In the present work, we define such an ergodicity coefficient of a positive mapping defined on ordered Banach space with a base (OBSB), and study its properties. In terms of this coefficient we prove the equivalence uniform and weak ergodicities of homogeneous Markov chains.
| Main Author: | |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2014
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/38027/ http://irep.iium.edu.my/38027/ http://irep.iium.edu.my/38027/1/Binder1.pdf |
| Summary: | In the present work, we define such an ergodicity
coefficient of a positive mapping defined on ordered Banach space with a base (OBSB),
and study its properties. In terms of this coefficient we prove the equivalence uniform and
weak ergodicities of homogeneous Markov chains. |
|---|