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On regression-based tests for seasonal unit roots in the presence of periodic heteroscedasticity

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  • Burridge, Peter
  • Taylor, A. M. Robert

Abstract

In this paper, we analyse the behaviour of regression-based tests for seasonal unit roots when the error is periodically heteroscedastic. We show, using the case of quaterly data to illustrate, that the limiting null distribution of tests for unit roots at the zero and Nyquist frequencies are unaffected by the presence od periodic heteroscedastic behaviour in the error process.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 104 (2001)
Issue (Month): 1 (August)
Pages: 91-117

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Handle: RePEc:eee:econom:v:104:y:2001:i:1:p:91-117

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Web page: http://www.elsevier.com/locate/jeconom

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  1. Smith, R.J. & Taylor, R., 1995. "Additional Critical Values and Asymptotic Representations for Seasonal Unit Roots Tests," Cambridge Working Papers in Economics 9529, Faculty of Economics, University of Cambridge.
  2. Joseph Beaulieu, J. & Miron, Jeffrey A., 1993. "Seasonal unit roots in aggregate U.S. data," Journal of Econometrics, Elsevier, Elsevier, vol. 55(1-2), pages 305-328.
  3. Ghysels, Eric & Lee, Hahn S. & Noh, Jaesum, 1994. "Testing for unit roots in seasonal time series : Some theoretical extensions and a Monte Carlo investigation," Journal of Econometrics, Elsevier, Elsevier, vol. 62(2), pages 415-442, June.
  4. Osborn, Denise R, et al, 1988. "Seasonality and the Order of Integration for Consumption," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 50(4), pages 361-77, November.
  5. Hylleberg, S. & Engle, R.F. & Granger, C.W.J. & Yoo, B.S., 1988. "Seasonal, Integration And Cointegration," Papers, Pennsylvania State - Department of Economics 6-88-2, Pennsylvania State - Department of Economics.
  6. Phillips, P C B & Durlauf, S N, 1986. "Multiple Time Series Regression with Integrated Processes," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 53(4), pages 473-95, August.
  7. Kwiatkowski, D. & Phillips, P.C.B. & Schmidt, P., 1990. "Testing the Null Hypothesis of Stationarity Against the Alternative of Unit Root : How Sure are we that Economic Time Series have a Unit Root?," Papers, Michigan State - Econometrics and Economic Theory 8905, Michigan State - Econometrics and Economic Theory.
  8. Canova, Fabio & Hansen, Bruce E, 1995. "Are Seasonal Patterns Constant over Time? A Test for Seasonal Stability," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 13(3), pages 237-52, July.
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Citations

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Cited by:
  1. Niels Haldrup & Antonio Montañés & Andreu Sansó, 2004. "Testing for Additive Outliers in Seasonally Integrated Time Series," Economics Working Papers, School of Economics and Management, University of Aarhus 2004-14, School of Economics and Management, University of Aarhus.
  2. Pami Dua & Lokendra Kumawat, 2005. "Modelling and Forecasting Seasonality in Indian Macroeconomic Time Series," Working papers 136, Centre for Development Economics, Delhi School of Economics.
  3. Burridge, P. & Gjorstrup, F. & Robert Taylor, A. M., 2004. "Robust Inference on Seasonal Unit Roots via a Bootstrap Applied to OECD Macroeconomic Series," Working Papers 04/08, Department of Economics, City University London.
  4. Rotger, Gabriel Pons, . "Testing for Seasonal Unit Roots with Temporally Aggregated Time Series," Economics Working Papers, School of Economics and Management, University of Aarhus 2003-16, School of Economics and Management, University of Aarhus.
  5. Giuseppe Cavaliere & Anders Rahbek & A.M.Robert Taylor, 2009. "Co-integration Rank Testing under Conditional Heteroskedasticity," CREATES Research Papers 2009-22, School of Economics and Management, University of Aarhus.
  6. Godfrey, L.G. & Tremayne, A.R., 2005. "The wild bootstrap and heteroskedasticity-robust tests for serial correlation in dynamic regression models," Computational Statistics & Data Analysis, Elsevier, vol. 49(2), pages 377-395, April.
  7. Haldrup Niels & Montañes Antonio & Sansó Andreu, 2011. "Detection of Additive Outliers in Seasonal Time Series," Journal of Time Series Econometrics, De Gruyter, De Gruyter, vol. 3(2), pages 1-20, April.
  8. Giuseppe Cavaliere & Anders Rahbek & A. M. Robert Taylor, 2009. "Co-integration rank tests under conditional heteroskedasticity," Discussion Papers 09/02, University of Nottingham, Granger Centre for Time Series Econometrics.
  9. Giuseppe Cavaliere & Anders Rahbek & A.M.Robert Taylor, 2008. "Testing for Co-integration in Vector Autoregressions with Non-Stationary Volatility," CREATES Research Papers 2008-50, School of Economics and Management, University of Aarhus.
  10. Kourogenis, Nikolaos & Pittis, Nikitas, 2008. "Cointegration, variance shifts and the limiting distribution of the OLS estimator," Economics Letters, Elsevier, vol. 99(1), pages 103-106, April.
  11. Robert Taylor & Peter Burridge, 2004. "Bootstrapping the HEGY Seasonal Unit Root Tests," Econometric Society 2004 North American Summer Meetings 125, Econometric Society.

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