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A sequential approach to testing seasonal unit roots in high frequency data

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Author Info
Paulo Rodrigues
Philip Franses

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Abstract

In this paper we introduce a sequential seasonal unit root testing approach which explicitly addresses its application to high frequency data. The main idea is to see which unit roots at higher frequency data can also be found in temporally aggregated data. We illustrate our procedure to the analysis of monthly data, and we find, upon analysing the aggregated quarterly data, that a smaller amount of test statistics can sometimes be considered. Monte Carlo simulation and empirical illustrations emphasize the practical relevance of our method.

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Publisher Info
Article provided by Taylor and Francis Journals in its journal Journal of Applied Statistics.

Volume (Year): 32 (2005)
Issue (Month): 6 (August)
Pages: 555-569
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Handle: RePEc:taf:japsta:v:32:y:2005:i:6:p:555-569

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Related research
Keywords: Seasonal unit roots; temporal aggregation;

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References listed on IDEAS
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. 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.
  2. Hylleberg, S. & Engle, R.F. & Granger, C.W.J. & Yoo, B.S., 1988. "Seasonal, Integration And Cointegration," Papers 6-88-2, Pennsylvania State - Department of Economics.
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  3. Smith, R.J. & Taylor, A.M.R., 1999. "Regression-Based Seasonal Unit Root Tests," Discussion Papers 99-15, Department of Economics, University of Birmingham.
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  4. Franses, Philip Hans, 1996. " Recent Advances in Modelling Seasonality," Journal of Economic Surveys, Blackwell Publishing, vol. 10(3), pages 299-345, September.
  5. 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, vol. 62(2), pages 415-442, June. [Downloadable!] (restricted)
  6. Eric Ghysels & Denise R. Osborn & Paulo M. M. Rodrigues, 1999. "Seasonal Nonstationarity and Near-Nonstationarity," CIRANO Working Papers 99s-05, CIRANO. [Downloadable!]
  7. Paulo M. M. Rodrigues, Denise R. Osborn, 1999. "Performance of seasonal unit root tests for monthly data," Journal of Applied Statistics, Taylor and Francis Journals, vol. 26(8), pages 985-1004, December. [Downloadable!] (restricted)
  8. Smith, Richard J. & Taylor, A. M. Robert, 1998. "Additional critical values and asymptotic representations for seasonal unit root tests," Journal of Econometrics, Elsevier, vol. 85(2), pages 269-288, August. [Downloadable!] (restricted)
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  9. Joseph Beaulieu, J. & Miron, Jeffrey A., 1993. "Seasonal unit roots in aggregate U.S. data," Journal of Econometrics, Elsevier, vol. 55(1-2), pages 305-328. [Downloadable!] (restricted)
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Cited by:
(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. Gabriel Pons, 2006. "Testing Monthly Seasonal Unit Roots With Monthly and Quarterly Information," Journal of Time Series Analysis, Blackwell Publishing, vol. 27(2), pages 191-209, 03. [Downloadable!] (restricted)
  2. Gabriel Pons Rotger, 2004. "Seasonal Unit Root Testing Based on the Temporal Aggregation of Seasonal Cycles," Economics Working Papers 2004-1, School of Economics and Management, University of Aarhus. [Downloadable!]
  3. Martinez-Espineira, Roberto, 2005. "An Estimation of Residential Water Demand Using Co-Integration and Error Correction Techniques," MPRA Paper 615, University Library of Munich, Germany, revised Jan 2006. [Downloadable!]
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