12 citations · 25 across the 6 of their papers we have counts for
4 papers · 1 filter
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 $…
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…
Adaptive estimation of linear functionals by model selection
Béatrice Laurent, Carenne Ludeña, Clémentine Prieur
We propose an estimation procedure for linear functionals based on Gaussian model selection techniques. We show that the procedure is adaptive, and we give a non asymptotic oracle…
Conditional large and moderate deviations for sums of discrete random variables. Combinatoric applications
Fabrice Gamboa, Thierry Klein, Clémentine Prieur
We prove large and moderate deviation principles for the distribution of an empirical mean conditioned by the value of the sum of discrete i.i.d. random variables. Some application…