Stability of Markovian processes I: criteria for discrete-time Chains
- 1 September 1992
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 24 (3) , 542-574
- https://doi.org/10.2307/1427479
Abstract
In this paper we connect various topological and probabilistic forms of stability for discrete-time Markov chains. These include tightness on the one hand and H...Keywords
This publication has 23 references indexed in Scilit:
- Asymptotic Behavior of Stochastic Systems Possessing Markovian RealizationsSIAM Journal on Control and Optimization, 1991
- Ergodic Theorems for Discrete Time Stochastic Systems Using a Stochastic Lyapunov FunctionSIAM Journal on Control and Optimization, 1989
- A note on the geometric ergodicity of a Markov chainAdvances in Applied Probability, 1989
- Mixing properties of harris chains and autoregressive processesJournal of Applied Probability, 1986
- A new approach to the limit theory of recurrent Markov chainsTransactions of the American Mathematical Society, 1978
- R-theory for Markov chains on a topological state Space. IIProbability Theory and Related Fields, 1976
- Sufficient conditions for ergodicity and recurrence of Markov chains on a general state spaceStochastic Processes and their Applications, 1975
- A Uniform Theory for Sums of Markov Chain Transition ProbabilitiesThe Annals of Probability, 1975
- Criteria for the recurrence or transience of stochastic process. IJournal of Mathematical Analysis and Applications, 1960
- On the Stochastic Matrices Associated with Certain Queuing ProcessesThe Annals of Mathematical Statistics, 1953