Exponential inequalities and functional estimations for weak dependent datas ; applications to dynamical systems. - Archive ouverte HAL
Article Dans Une Revue Stoch. Dyn. Année : 2006

Exponential inequalities and functional estimations for weak dependent datas ; applications to dynamical systems.

Résumé

We estimate density and regression functions for weak dependant datas. Using an exponential inequality obtained by Dedecker and Prieur and in a previous article of the author, we control the deviation between the estimator and the function itself. These results are applied to a large class of dynamical systems and lead to estimations of invariant densities and on the mapping itself.
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Dates et versions

hal-00022453 , version 1 (09-04-2006)

Identifiants

Citer

Véronique Maume-Deschamps. Exponential inequalities and functional estimations for weak dependent datas ; applications to dynamical systems.. Stoch. Dyn., 2006, pp.535. ⟨10.1142/S0219493706001876⟩. ⟨hal-00022453⟩
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