- 97-587 Bressaud X., Fernandez R., Galves A.
- Speed of $\overline d$-convergence for Markov approximations of chains
with complete connections. A coupling approach
(62K, LaTeX)
Nov 20, 97
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Abstract. We compute the speed of convergence of the canonical Markov
approximation of a chain with complete connections with summable
decays. We show that in the $\overline{d}$-topology the approximation
converges at least at a rate proportional to these decays.
This is proven by explicitly constructing a coupling between
the chain and each range-$k$ approximation.
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