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Robust Covariance Matrix Estimation with Data-Dependent VAR Prewhitening Order

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  • Wouter J. den Haan
  • Andrew T. Levin

Abstract

This paper analyzes the performance of heteroskedasticity-and-autocorrelation-consistent (HAC) covariance matrix estimators in which the residuals are prewhitened using a vector autoregressive (VAR) filter. We highlight the pitfalls of using an arbitrarily fixed lag order for the VAR filter, and we demonstrate the benefits of using a model selection criterion (either AIC or BIC) to determine its lag structure. Furthermore, once data-dependent VAR prewhitening has been utilized, we find negligible or even counter-productive effects of applying standard kernel-based methods to the prewhitened residuals; that is, the performance of the prewhitened kernel estimator is virtually indistinguishable from that of the VARHAC estimator.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number 0255.

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Date of creation: Jun 2000
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Handle: RePEc:nbr:nberte:0255

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  1. repec:att:wimass:9220 is not listed on IDEAS
  2. Eichenbaum, Martin S & Hansen, Lars Peter & Singleton, Kenneth J, 1988. "A Time Series Analysis of Representative Agent Models of Consumption and Leisure Choice under Uncertainty," The Quarterly Journal of Economics, MIT Press, vol. 103(1), pages 51-78, February.
  3. Donald W.K. Andrews & Christopher J. Monahan, 1990. "An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator," Cowles Foundation Discussion Papers 942, Cowles Foundation for Research in Economics, Yale University.
  4. Wouter J. den Haan & Andrew T. Levin, 1995. "Inferences from parametric and non-parametric covariance matrix estimation procedures," International Finance Discussion Papers 504, Board of Governors of the Federal Reserve System (U.S.).
  5. Kenneth D. West & Whitney K. Newey, 1995. "Automatic Lag Selection in Covariance Matrix Estimation," NBER Technical Working Papers 0144, National Bureau of Economic Research, Inc.
  6. West, Kenneth D., 1997. "Another heteroskedasticity- and autocorrelation-consistent covariance matrix estimator," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 171-191.
  7. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 33(1), pages 125-132.
  8. Donald W.K. Andrews, 1988. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Cowles Foundation Discussion Papers 877R, Cowles Foundation for Research in Economics, Yale University, revised Jul 1989.
  9. Kiefer, Nicholas M. & Bunzel, Helle & Vogelsang, Timothy & Vogelsang, Timothy & Bunzel, Helle, 2000. "Simple Robust Testing of Regression Hypotheses," Staff General Research Papers 1832, Iowa State University, Department of Economics.
  10. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July.
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Cited by:
  1. A. Craig Burnside, 2010. "Empirical Asset Pricing and Statistical Power in the Presence of Weak Risk Factors," Working Papers 10-45, Duke University, Department of Economics.
  2. Kilian, L. & Bergean, I., 1999. "Data-Driven Nonparametric Spectral Density Estimators for Economic Time Series: A Monte Carlo Study," Papers 99-04, Michigan - Center for Research on Economic & Social Theory.
  3. Ozgen Sayginsoy, 2005. "Powerful and Serial Correlation Robust Tests of the Economic Convergence Hypothesis," Econometrics 0503014, EconWPA, revised 11 Mar 2005.
  4. repec:ebl:ecbull:v:3:y:2005:i:10:p:1-13 is not listed on IDEAS
  5. Motohiro Yogo, 2006. "A Consumption-Based Explanation of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 61(2), pages 539-580, 04.
  6. Richard Heaney & Kerry Pattenden, 2005. "Change in unconditional foreign exchange rate volatility: an analysis of the GBP and USD price of the Euro from 2002 to 2003," Applied Economics Letters, Taylor & Francis Journals, vol. 12(15), pages 929-932.
  7. Min-Hsien Chiang & Chihwa Kao, 2005. "Spectral Density Bandwidth Choice and Prewhitening in the Generalized Method of Moments Estimators for the Asset Pricing Model," Economics Bulletin, AccessEcon, vol. 3(10), pages 1-13.
  8. Dr Martin Weale & Dr. James Mitchell, 2002. "Aggregate versus Disaggregate Survey-Based Indicators of Economic Activity (revised January 2005)," NIESR Discussion Papers 148, National Institute of Economic and Social Research.
  9. Matheron, Julien & Maury, Tristan-Pierre, 2004. "Supply-side refinements and the New Keynesian Phillips Curve," Economics Letters, Elsevier, vol. 82(3), pages 391-396, March.
  10. Frédéric Karamé & Lise Patureau & Thepthida Sopraseuth, 2003. "Limited participation and exchange rate dynamics : does theory meet the data ?," Cahiers de la Maison des Sciences Economiques v04013, Université Panthéon-Sorbonne (Paris 1).

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