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Article Dans Une Revue Annales de l'ISUP Année : 2011

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.
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hal-01358247 , version 1 (21-03-2022)

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  • HAL Id : hal-01358247 , version 1

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Davit Varron. Clustering rates and Chung type laws of the iterated logarithm for empirical and quantile processes.. Annales de l'ISUP, 2011, 55 (2-3), pp.3-26. ⟨hal-01358247⟩
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