by B. Rabta and D. Aïssani
Abstract:
The aim of this paper is to investigate the stability of Markov chains with general state space. We present new conditions for the strong stability of Markov chains after a small perturbation of their transition kernels. Also, we obtain perturbation bounds with respect to different quantities.
Reference:
 Perturbation bounds for Markov chains with general state space (B. Rabta and D. Aïssani), In Journal of Mathematical Sciences, Springer Science+Business Media New York, volume 228, 2018.
Bibtex Entry:
@Article{jms2009,
  author    = {B. Rabta and D. A{\"i}ssani},
  title     = {Perturbation bounds for Markov chains with general state space},
  journal   = {Journal of Mathematical Sciences},
  year      = {2018},
  volume    = {228},
  number    = {5},
  pages     = {510--521},
  month     = {02},
  abstract  = {The aim of this paper is to investigate the stability of Markov chains with general state space. We
present new conditions for the strong stability of Markov chains after a small perturbation of their
transition kernels. Also, we obtain perturbation bounds with respect to different quantities.},
  publisher = {Springer Science+Business Media New York},
issn="1573-8795",
doi="10.1007/s10958-017-3640-9",
mr={MR3747971},
zbl={06856157},
gsid={1888535012277674449},
url="https://doi.org/10.1007/s10958-017-3640-9"
}