Deterministic bootstrapping for a class of bootstrap methods
Methodology
2019-04-10 v2 Other Statistics
Abstract
An algorithm is described that enables efficient deterministic approximate computation of the bootstrap distribution for any linear bootstrap method , alleviating the need for repeated resampling from observations (resp. input-derived data). In essence, the algorithm computes the distribution function from a linear mixture of independent random variables each having a finite discrete distribution. The algorithm is applicable to elementary bootstrap scenarios (targetting the mean as parameter of interest), for block bootstrap, as well as for certain residual bootstrap scenarios. Moreover, the algorithm promises a much broader applicability, in non-bootstrapped hypothesis testing.
Cite
@article{arxiv.1903.10816,
title = {Deterministic bootstrapping for a class of bootstrap methods},
author = {Thomas Pitschel},
journal= {arXiv preprint arXiv:1903.10816},
year = {2019}
}