Uniform coupling of non-homogeneous Markov chains
- 1 March 1975
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 12 (04) , 753-762
- https://doi.org/10.1017/s0021900200048713
Abstract
The Markov-Dobrushin condition for (weak) ergodicity of non-homogeneous discrete-time Markov chains, and an analogous criterion for continuous chains, are derived by means of coupling techniques.Keywords
This publication has 9 references indexed in Scilit:
- Ergodic theorems for graph interactionsAdvances in Applied Probability, 1975
- A maximal coupling for Markov chainsProbability Theory and Related Fields, 1975
- Geometrical aspects of the theory of non-homogeneous Markov chainsMathematical Proceedings of the Cambridge Philosophical Society, 1975
- Contact Interactions on a LatticeThe Annals of Probability, 1974
- On the historical development of the theory of finite inhomogeneous Markov chainsMathematical Proceedings of the Cambridge Philosophical Society, 1973
- On Two Recent Papers on Ergodicity in Nonhomogeneous Markov ChainsThe Annals of Mathematical Statistics, 1972
- Ergodic Theorems for Infinite Probabilistic TablesThe Annals of Mathematical Statistics, 1970
- Weak ergodicity in non-homogeneous Markov chainsMathematical Proceedings of the Cambridge Philosophical Society, 1958
- Central Limit Theorem for Nonstationary Markov Chains. ITheory of Probability and Its Applications, 1956