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The Wild Bootstrap, Tamed at Last

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Author Info
Russell Davidson () (Department of Economics, Queen's University and GREQAM)
Emmanuel Flachaire () (STICERD, London School of Economics)

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Abstract

Various versions of the wild bootstrap are studied as applied to regression models with heteroskedastic errors. We develop formal Edgeworth expansions for the error in the rejection probability (ERP) of wild bootstrap tests based on asymptotic t statistics computed with a heteroskedasticity consistent covariance matrix estimator. Particular interest centers on the choice of the auxiliary distribution used by the wild bootstrap in order to generate bootstrap error terms. We find that the Rademacher distribution usually gives smaller ERPs, in small samples, than the version of the wild bootstrap that seems most popular in the literature, even though it does not benefit from the latter's skewness correction. This conclusion, based on Edgeworth expansions, is confirmed by a series of simulation experiments. We conclude that a particular version of the wild bootstrap is to be preferred in almost all practical situations, and we show analytically that it, and no other version, gives perfect inference in a special case.

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File URL: http://www.econ.queensu.ca/working_papers/papers/qed_wp_1000.pdf
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File Function: First version 2001
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Publisher Info
Paper provided by Queen's University, Department of Economics in its series Working Papers with number 1000.

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Length: 34 pages
Date of creation: Oct 2001
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Handle: RePEc:qed:wpaper:1000

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Related research
Keywords: Wild Bootstrap Heteroskedasticity Consistent Covariance Matrix Estimators Size distortion

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Find related papers by JEL classification:
C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General

References listed on IDEAS
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  1. Davidson, Russell & MacKinnon, James G, 1998. "Graphical Methods for Investigating the Size and Power of Hypothesis Tests," The Manchester School of Economic & Social Studies, Blackwell Publishing, vol. 66(1), pages 1-26, January.
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  2. Flachaire, Emmanuel, 1999. "A better way to bootstrap pairs," Economics Letters, Elsevier, vol. 64(3), pages 257-262, September. [Downloadable!] (restricted)
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  3. Davidson, Russell & MacKinnon, James G., 1999. "The Size Distortion Of Bootstrap Tests," Econometric Theory, Cambridge University Press, vol. 15(03), pages 361-376, June. [Downloadable!]
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  4. MacKinnon, James G. & White, Halbert, 1985. "Some heteroskedasticity-consistent covariance matrix estimators with improved finite sample properties," Journal of Econometrics, Elsevier, vol. 29(3), pages 305-325, September. [Downloadable!] (restricted)
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  5. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-38, May. [Downloadable!] (restricted)
  6. Chesher, Andrew & Jewitt, Ian, 1987. "The Bias of a Heteroskedasticity Consistent Covariance Matrix Estimator," Econometrica, Econometric Society, vol. 55(5), pages 1217-22, September. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Jamie Emerson & Chihwa Kao, 2005. "Bootstrapping and hypothesis testing in non-stationary panel data," Applied Economics Letters, Taylor and Francis Journals, vol. 12(5), pages 313-318, April. [Downloadable!] (restricted)
  2. Olivier Armantier, 2006. "Estimates of Own Lethal Risks and Anchoring Effects," CIRANO Working Papers 2006s-14, CIRANO. [Downloadable!]
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  3. Peter Pope & David Peel & Mark Clatworthy, 2006. "Are analysts’ loss functions asymmetric?," Working Papers 003094, Lancaster University Management School, Economics Department. [Downloadable!]
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  4. Lutz Kilian & Silvia Goncalves, 2002. "Bootstrapping autoregressions with conditional heteroskedasticity of unknown form," Working Paper Series 196, European Central Bank. [Downloadable!]
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  5. Stan Hurn & Ralf Becker, 2006. "Testing for nonlinearity in mean in the presence of heteroskedasticity," Stan Hurn Discussion Papers 2006-02, School of Economics and Finance, Queensland University of Technology. [Downloadable!]
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  6. James G. MacKinnon, 2007. "Bootstrap Hypothesis Testing," Working Papers 1127, Queen's University, Department of Economics. [Downloadable!]
  7. Bruno Tinel, 2004. "Que reste-t-il de la contribution d'Alchian et Demsetz à la théorie de l'entreprise ?," Post-Print halshs-00270895_v1, HAL. [Downloadable!]
  8. Alicia Pérez Alonso, 2006. "A Bootstrap Approach To Test The Conditional Symmetry In Time Series Models," Working Papers. Serie AD 2006-18, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  9. E Fe-Rodriguez & C D Orme, 2005. "The Asymptotic Equivalence of Kernel-based Nonparametric Conditional Moment Test Statistics," The School of Economics Discussion Paper Series 0504, Economics, The University of Manchester. [Downloadable!]
  10. Adrian Pagan & Hashem Pesaran, 2007. "On Econometric Analysis of Structural Systems with Permanent and Transitory Shocks and Exogenous Variables. Working paper #7," NCER Working Paper Series 7, National Centre for Econometric Research. [Downloadable!]
  11. A. Colin Cameron & Jonah B. Gelbach & Douglas L. Miller, 2007. "Bootstrap-Based Improvements for Inference with Clustered Errors," NBER Technical Working Papers 0344, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  12. James G. MacKinnon, 2006. "Bootstrap Methods in Econometrics," Working Papers 1028, Queen's University, Department of Economics. [Downloadable!]
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  13. David Peel & Ivan Paya, 2005. "A new analysis of the determinants of the real dollar-sterling exchange rate: 1871-1994," Working Papers 002391, Lancaster University Management School, Economics Department. [Downloadable!]
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  14. Kenneth W. Clements & H.Y Izan & Yihui Lan, 2005. "A Stochastic Measure of International Competitiveness," Economics Discussion / Working Papers 05-15, The University of Western Australia, Department of Economics. [Downloadable!]
  15. Andrea, SILVESTRINI, 2007. "Testing fiscal sustainability in Poland : a Bayesian analysis of cointegration," Université catholique de Louvain, Département des Sciences Economiques Working Paper 2007040, Université catholique de Louvain, Département des Sciences Economiques. [Downloadable!]
  16. Emmanuel Flachaire, 2005. "Propriétés en échantillon fini des tests robustes à l'hétéroscédasticité de forme inconnue," Post-Print halshs-00175905_v1, HAL. [Downloadable!]
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  17. Russell Davidson & James G. MacKinnon, 2008. "Wild Bootstrap Tests for IV Regression," Working Papers 1135, Queen's University, Department of Economics. [Downloadable!]
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