English

On Dependence Structure of Copula-based Markov chains

Statistics Theory 2013-06-20 v4 Probability Statistics Theory

Abstract

We consider dependence coefficients for stationary Markov chains. We emphasize on some equivalencies for reversible Markov chains. We improve some known results and provide a necessary condition for Markov chains based on Archimedean copulas to be exponential ρ\rho-mixing. We analyze the example of the Mardia and Frechet copula families using small sets.

Keywords

Cite

@article{arxiv.1207.5762,
  title  = {On Dependence Structure of Copula-based Markov chains},
  author = {Martial Longla},
  journal= {arXiv preprint arXiv:1207.5762},
  year   = {2013}
}
R2 v1 2026-06-21T21:40:47.980Z