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Choice of Spectral Density Estimator in Ng-Perron Test: A Comparative Analysis

Year 2015, Volume: 7 Issue: 2, 51 - 63, 01.09.2015
https://doi.org/10.33818/ier.278040

Abstract

Ng and Perron (2001) designed a unit root test, which incorporates the properties of DF-GLS and Phillips Perron test. Ng and Perron claim that the test performs exceptionally well especially in the presence of a negative moving average. However, the performance of the test depends heavily on the choice of the spectral density estimators used in the construction of the test. Various estimators for spectral density exist in the literature; each have a crucial impact on the output of test, however there is no clarity on which of these estimators gives the optimal size and power properties. This study aims to evaluate the performance of the Ng-Perron for different choices of spectral density estimators in the presence of a negative and positive moving average using Monte Carlo simulations. The results for large samples show that: (a) in the presence of a positive moving average, testing with the kernel based estimator gives good effective power and no size distortion, and (b) in the presence of a negative moving average, the autoregressive estimator gives better effective power, however, huge size distortion is observed in several specifications of the data-generating process.

References

  • Andrews, D. W. (1991). Heteroskedasticity and Autocorrelation Consistent Covariance Matrix estimation. Econometrica, 59 (3), 817-858.
  • Atiq-ur-Rehman (2011). Impact of Model Specification Decisions on Performance of Unit Root Tests. International Econometric Review, 3 (2), 22-33.
  • Dufour, J. M. and M. L. King (1991). Optimal Invariant Tests for the Autocorrelation Coefficient in Linear Regressions with Stationary or Nonstationary Errors. Journal of Econometrics, 47 (1), 115-143.
  • Elliott, G., T. J. Rothenberg and J. H. Stock (1996). Efficient Tests for an Autoregressive Unit Root. Econometrica, 64 (4), 813-836.
  • Libanio, G. A. (2005). Unit Roots in Macroeconomic Time Series: Theory, Implications, and Evidence. Nova Economia Belo Horizonte, 15 (3), 145-176.
  • Ng, S. and P. Perron (2001). Lag length Selection and the Construction of Unit Root Tests with Good Size and Power. Econometrica, 69 (6), 1519-1554.
  • Perron, P. and S. Ng (1998). An Autoregressive Spectral Density Estimator at Frequency Zero for Nonstationary Tests. Econometric Theory, 14, 560-603.
  • Phillips, P. C. (1987). Time Series Regression with a Unit Root. Econometrica, 55 (2), 277- 301.
  • Phillips, P. C. and P. Perron (1988). Testing for a unit root in time series regression. Biometrika, 75 (2), 335-346.
  • Stock, J. H. (1990). A Class of Tests for Integration and Cointegration. Manuscript, Harvard University.
  • Stock, J. H. (1994). Unit Roots, Structural Breaks and Trends. Handbook of Econometrics, 4, 2739-2841.
Year 2015, Volume: 7 Issue: 2, 51 - 63, 01.09.2015
https://doi.org/10.33818/ier.278040

Abstract

References

  • Andrews, D. W. (1991). Heteroskedasticity and Autocorrelation Consistent Covariance Matrix estimation. Econometrica, 59 (3), 817-858.
  • Atiq-ur-Rehman (2011). Impact of Model Specification Decisions on Performance of Unit Root Tests. International Econometric Review, 3 (2), 22-33.
  • Dufour, J. M. and M. L. King (1991). Optimal Invariant Tests for the Autocorrelation Coefficient in Linear Regressions with Stationary or Nonstationary Errors. Journal of Econometrics, 47 (1), 115-143.
  • Elliott, G., T. J. Rothenberg and J. H. Stock (1996). Efficient Tests for an Autoregressive Unit Root. Econometrica, 64 (4), 813-836.
  • Libanio, G. A. (2005). Unit Roots in Macroeconomic Time Series: Theory, Implications, and Evidence. Nova Economia Belo Horizonte, 15 (3), 145-176.
  • Ng, S. and P. Perron (2001). Lag length Selection and the Construction of Unit Root Tests with Good Size and Power. Econometrica, 69 (6), 1519-1554.
  • Perron, P. and S. Ng (1998). An Autoregressive Spectral Density Estimator at Frequency Zero for Nonstationary Tests. Econometric Theory, 14, 560-603.
  • Phillips, P. C. (1987). Time Series Regression with a Unit Root. Econometrica, 55 (2), 277- 301.
  • Phillips, P. C. and P. Perron (1988). Testing for a unit root in time series regression. Biometrika, 75 (2), 335-346.
  • Stock, J. H. (1990). A Class of Tests for Integration and Cointegration. Manuscript, Harvard University.
  • Stock, J. H. (1994). Unit Roots, Structural Breaks and Trends. Handbook of Econometrics, 4, 2739-2841.
There are 11 citations in total.

Details

Subjects Business Administration
Other ID JA49KM98BY
Journal Section Articles
Authors

Muhammad Irfan Malik This is me

- Atiq-ur-rehman This is me

Publication Date September 1, 2015
Submission Date September 1, 2015
Published in Issue Year 2015 Volume: 7 Issue: 2

Cite

APA Malik, M. I., & Atiq-ur-rehman, .-. (2015). Choice of Spectral Density Estimator in Ng-Perron Test: A Comparative Analysis. International Econometric Review, 7(2), 51-63. https://doi.org/10.33818/ier.278040
AMA Malik MI, Atiq-ur-rehman. Choice of Spectral Density Estimator in Ng-Perron Test: A Comparative Analysis. IER. December 2015;7(2):51-63. doi:10.33818/ier.278040
Chicago Malik, Muhammad Irfan, and - Atiq-ur-rehman. “Choice of Spectral Density Estimator in Ng-Perron Test: A Comparative Analysis”. International Econometric Review 7, no. 2 (December 2015): 51-63. https://doi.org/10.33818/ier.278040.
EndNote Malik MI, Atiq-ur-rehman - (December 1, 2015) Choice of Spectral Density Estimator in Ng-Perron Test: A Comparative Analysis. International Econometric Review 7 2 51–63.
IEEE M. I. Malik and .-. Atiq-ur-rehman, “Choice of Spectral Density Estimator in Ng-Perron Test: A Comparative Analysis”, IER, vol. 7, no. 2, pp. 51–63, 2015, doi: 10.33818/ier.278040.
ISNAD Malik, Muhammad Irfan - Atiq-ur-rehman, -. “Choice of Spectral Density Estimator in Ng-Perron Test: A Comparative Analysis”. International Econometric Review 7/2 (December 2015), 51-63. https://doi.org/10.33818/ier.278040.
JAMA Malik MI, Atiq-ur-rehman -. Choice of Spectral Density Estimator in Ng-Perron Test: A Comparative Analysis. IER. 2015;7:51–63.
MLA Malik, Muhammad Irfan and - Atiq-ur-rehman. “Choice of Spectral Density Estimator in Ng-Perron Test: A Comparative Analysis”. International Econometric Review, vol. 7, no. 2, 2015, pp. 51-63, doi:10.33818/ier.278040.
Vancouver Malik MI, Atiq-ur-rehman -. Choice of Spectral Density Estimator in Ng-Perron Test: A Comparative Analysis. IER. 2015;7(2):51-63.