Doukhan, Paul Lang, Gabriel Leucht, Anne Neumann, Michael H.
Year of Publication:
Working Paper Series No. 14-01
In this paper, we propose a model-free bootstrap method for the empirical process under absolute regularity. More precisely, consistency of an adapted version of the so-called dependent wild bootstrap, that was introduced by Shao (2010) and is very easy to implement, is proved under minimal conditions on the tuning parameter of the procedure. We apply our results to construct confidence intervals for unknown parameters and to approximate critical values for statistical tests. A simulation study shows that our method is competitive to standard block bootstrap methods in finite samples.
Absolute regularity bootstrap empirical process time series V -statistics quantiles Kolmogorov-Smirnov test