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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