Criteria for ergodicity, exponential ergodicity and strong ergodicity of Markov processes
- 1 March 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 18 (01) , 122-130
- https://doi.org/10.1017/s0021900200097667
Abstract
For regular Markov processes on a countable space, we provide criteria for the forms of ergodicity in the title in terms of the existence of solutions to inequalities involving the Q-matrix of the process. An application to birth-death processes is given.Keywords
This publication has 8 references indexed in Scilit:
- Exponential ergodicity in Markovian queueing and dam modelsJournal of Applied Probability, 1979
- Necessary and sufficient conditions for recurrence and transience of Markov chains, in terms of inequalitiesJournal of Applied Probability, 1978
- Strong ergodicity for continuous-time Markov chainsJournal of Applied Probability, 1978
- Criteria for strong ergodicity of Markov chainsJournal of Applied Probability, 1978
- Sufficient conditions for regularity, recurrence and ergodicity of Markov processesMathematical Proceedings of the Cambridge Philosophical Society, 1975
- Some Conditions for Ergodicity and Recurrence of Markov ChainsOperations Research, 1969
- The stochastic theory of regenerative eventsProbability Theory and Related Fields, 1964
- Denumerable Markov processes and the associated contraction semigroups on lActa Mathematica, 1957