Clustering rates and Chung type functional laws of the iterated logarithm for empirical and quantile processes
Statistics Theory
2012-01-27 v1 Statistics Theory
Abstract
Following the works of Berthet (1997), we first obtain exact clustering rates in the functional law of the iterated logarithm for the uniform empirical and quantile processes and for their increments. 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.
Keywords
Cite
@article{arxiv.1201.5521,
title = {Clustering rates and Chung type functional laws of the iterated logarithm for empirical and quantile processes},
author = {Davit Varron},
journal= {arXiv preprint arXiv:1201.5521},
year = {2012}
}