The wild bootstrap, tamed at last

Davidson, Russell and Flachaire, Emmanuel (2001) The wild bootstrap, tamed at last. DARP (58). Suntory and Toyota International Centres for Economics and Related Disciplines, London, UK.

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Abstract

Various versions of the wild bootstrap are studied as applied to regression models with heteroskedastic errors. It is shown that some versions can be qualified as 'tamed', in the sense that the statistic bootstrapped is asymptotically independent of the distribution of the wild bootstrap DGP. This can, in one very specific case, lead to perfect bootstrap inference, and leads to substantial reduction in the error in the rejection probability of a bootstrap test much more generally. However, the version of the wild bootstrap with this desirable property does not benefit from the skewness correction afforded by the most popular version of the wild bootstrap in the literature. Edgeworth expansions and simulation experiments are used to show why this defect does not prevent the preferred version from having the smallest error in rejection probability in small and medium-sized samples. It is concluded that this preferred version should always be used in practice.

Item Type:	Monograph (Discussion Paper)
Official URL:	http://sticerd.lse.ac.uk
Additional Information:	© 2001 Russell Davidson and Emmanuel Flachaire
Divisions:	STICERD
Subjects:	H Social Sciences > HB Economic Theory
JEL classification:	C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods: General
Date Deposited:	07 Jul 2008 09:34
Last Modified:	13 Sep 2024 19:46
URI:	http://eprints.lse.ac.uk/id/eprint/6560

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