Clustering rates and Chung type laws of the iterated logarithm for empirical and quantile processes.
Résumé
Following the works of Berthet [2, 3], we first obtain exact dustering rates in the functional law of the iterated logarithm for the uniform empirical and quantile processes and for their incréments. In a second time, we obtain functional Chung-type limit laws for the local empirical process for a class of target functions on the border of the Strassen set.
Origine : Accord explicite pour ce dépôt