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Robust Covariance Matrix Estimation with Data-Dependent VAR Prewhitening Order

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Author Info
Wouter J. den Haan
Andrew T. Levin

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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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Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions

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  1. Newey, Whitney K & West, Kenneth D, 1987. "A Simple, Positive Semi-definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix," Econometrica, Econometric Society, vol. 55(3), pages 703-08, May. [Downloadable!] (restricted)
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  2. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May. [Downloadable!] (restricted)
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  3. 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. [Downloadable!] (restricted)
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  4. 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. [Downloadable!] (restricted)
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  5. Nicholas M. Kiefer & Timothy J. Vogelsang & Helle Bunzel, 2000. "Simple Robust Testing of Regression Hypotheses," Econometrica, Econometric Society, vol. 68(3), pages 695-714, May.
  6. Andrews, Donald W K & Monahan, J Christopher, 1992. "An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator," Econometrica, Econometric Society, vol. 60(4), pages 953-66, July. [Downloadable!] (restricted)
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  7. Wouter J. Den Haan & Andrew Levin, 1996. "Inferences from Parametric and Non-Parametric Covariance Matrix Estimation Procedures," NBER Technical Working Papers 0195, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  8. Wouter J. den Haan & Andrew Levin, 1996. "A Practitioner's Guide to Robust Covariance Matrix Estimation," University of California at San Diego, Economics Working Paper Series 96-17, Department of Economics, UC San Diego. [Downloadable!]
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  9. Newey, Whitney K & West, Kenneth D, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," Review of Economic Studies, Blackwell Publishing, vol. 61(4), pages 631-53, October. [Downloadable!] (restricted)
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  10. Andrews, Donald W K & Chen, Hong-Yuan, 1994. "Approximately Median-Unbiased Estimation of Autoregressive Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 187-204, April.
  11. Hall, Alastair R, 1994. "Testing for a Unit Root in Time Series with Pretest Data-Based Model Selection," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 461-70, October.
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  1. Julien GARNIER, 2003. "Has the Similarity of Business Cycles in Europe Increased with the Monetary Integration," Economics Working Papers ECO2003/12, European University Institute. [Downloadable!]
  2. Ionel Birgean & Lutz Kilian, 2002. "Data-Driven Nonparametric Spectral Density Estimators For Economic Time Series: A Monte Carlo Study," Econometric Reviews, Taylor and Francis Journals, vol. 21(4), pages 449-476. [Downloadable!] (restricted)
    Other versions:
  3. 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, Economics Bulletin, vol. 3(10), pages 1-13. [Downloadable!]
    Other versions:
  4. 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). [Downloadable!]
    Other versions:
  5. Ozgen Sayginsoy, 2005. "Powerful and Serial Correlation Robust Tests of the Economic Convergence Hypothesis," Econometrics 0503014, EconWPA, revised 11 Mar 2005. [Downloadable!]
  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 and Francis Journals, vol. 12(15), pages 929-932, December. [Downloadable!] (restricted)
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