245 citations
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math.PR2007★ 2 cited
Central limit theorem for sampled sums of dependent random variables
Nadine Guillotin-Plantard, Clémentine Prieur
We prove a central limit theorem for linear triangular arrays under weak dependence conditions. Our result is then applied to the study of dependent random variables sampled by a $…
math.PR2007★ 11 cited
Some unbounded functions of intermittent maps for which the central limit theorem holds
J. Dedecker, C. Prieur
We compute some dependence coefficients for the stationary Markov chain whose transition kernel is the Perron-Frobenius operator of an expanding map of with a neutral…