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-mixing. We analyse the example of the Mardia and Frechet copula families using small sets.
Mots-clés : Markov chains, copula, mixing, reversible processes, ergodicity, small sets
@article{PS_2014__18__570_0, author = {Longla, Martial}, title = {On dependence structure of copula-based {Markov} chains}, journal = {ESAIM: Probability and Statistics}, pages = {570--583}, publisher = {EDP-Sciences}, volume = {18}, year = {2014}, doi = {10.1051/ps/2013052}, zbl = {1308.60087}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/ps/2013052/} }
TY - JOUR AU - Longla, Martial TI - On dependence structure of copula-based Markov chains JO - ESAIM: Probability and Statistics PY - 2014 SP - 570 EP - 583 VL - 18 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ps/2013052/ DO - 10.1051/ps/2013052 LA - en ID - PS_2014__18__570_0 ER -
Longla, Martial. On dependence structure of copula-based Markov chains. ESAIM: Probability and Statistics, Tome 18 (2014), pp. 570-583. doi : 10.1051/ps/2013052. http://archive.numdam.org/articles/10.1051/ps/2013052/
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