The wild bootstrap, tamed at last

Russell Davidson and Emmanuel Flachaire

LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library

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.

Keywords: Wild bootstrap; heteroskedasticity consistent covariance matrix estimator; size distortion. (search for similar items in EconPapers)
JEL-codes: C1 (search for similar items in EconPapers)
Pages: 39 pages
Date: 2001-02
References: Add references at CitEc
Citations: View citations in EconPapers (61)

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http://eprints.lse.ac.uk/6560/ Open access version. (application/pdf)

Related works:
Journal Article: The wild bootstrap, tamed at last (2008)
Working Paper: The wild bootstrap, tamed at last (2008)
Working Paper: The Wild Bootstrap, Tamed at Last (2001)
Working Paper: The Wild Bootstrap, Tamed At Last (2001)
Working Paper: The Wild Bootstrap, Tamed at Last (2000)
Working Paper: The Wild Bootstrap, Tamed at Last (1999)
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Persistent link: https://EconPapers.repec.org/RePEc:ehl:lserod:6560

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