Asymptotic Theory and Wild Bootstrap Inference with Clustered Errors

Antoine Djogbenou, James MacKinnon and Morten Orregaard Nielsen

No 274725, Queen's Economics Department Working Papers from Queen's University - Department of Economics

Abstract: We study asymptotic inference based on cluster-robust variance estimators for regression models with clustered errors, focusing on the wild cluster bootstrap and the ordinary wild bootstrap. We state conditions under which both asymptotic and bootstrap tests and confidence intervals will be asymptotically valid. These conditions put limits on the rates at which the cluster sizes can increase as the number of clusters tends to infinity. To include power in the analysis, we allow the data to be generated under sequences of local alternatives. Under a somewhat stronger set of conditions, we also derive formal Edgeworth expansions for the asymptotic and bootstrap test statistics. Simulation experiments illustrate the theoretical results, and the Edgeworth expansions explain the overrejection of the asymptotic test and shed light on the choice of auxiliary distribution for the wild bootstrap.

Keywords: Financial Economics; Research Methods/Statistical Methods (search for similar items in EconPapers)
Pages: 47
Date: 2018-03
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Citations: View citations in EconPapers (5)

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Related works:
Journal Article: Asymptotic theory and wild bootstrap inference with clustered errors (2019)
Working Paper: Asymptotic Theory and Wild Bootstrap Inference with Clustered Errors (2019)
Working Paper: Asymptotic Theory And Wild Bootstrap Inference With Clustered Errors (2018)
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Persistent link: https://EconPapers.repec.org/RePEc:ags:quedwp:274725

DOI: 10.22004/ag.econ.274725

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