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Testing for Additive Outliers in Seasonally Integrated Time Series

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  • Niels Haldrup
  • Antonio Montañés
  • Andreu Sansó

Abstract

The detection of additive outliers in integrated variables has attracted some attention recently, see e.g. Shin et al. (1996), Vogelsang (1999) and Perron and Rodriguez (2003). This paper serves several purposes. We prove the inconsistency of the test proposed by Vogelsang, we extend the tests proposed by Shin et al. and Perron and Rodriguez to the seasonal case, and we consider alternative ways of computing their tests. We also study the effects of periodically varying variances on the previous tests and demonstrate that these can be seriously size distorted. Subsequently, some new tests that allow for periodic heteroskedasticity are proposed.

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Bibliographic Info

Paper provided by Universitat de les Illes Balears, Departament d'Economía Aplicada in its series DEA Working Papers with number 15.

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Date of creation: Jan 2005
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Handle: RePEc:ubi:deawps:15

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Keywords: Additive outliers; outlier detection; integrated processes; periodic heteroscedasticity; seasonality.;

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  1. Perron, P. & Rodriguez, G., 2000. "Seraching for Additive Outliers in Nonstationary Time Series," Working Papers 0005e, University of Ottawa, Department of Economics.
  2. Shin, Dong Wan & Sarkar, Sahadeb & Lee, Jong Hyup, 1996. "Unit root tests for time series with outliers," Statistics & Probability Letters, Elsevier, vol. 30(3), pages 189-197, October.
  3. Franses, Philip Hans & Haldrup, Niels, 1994. "The Effects of Additive Outliers on Tests for Unit Roots and Cointegration," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 471-78, October.
  4. Franses, Philip Hans & Paap, Richard, 2004. "Periodic Time Series Models," OUP Catalogue, Oxford University Press, number 9780199242030.
  5. Haldrup, Niels Prof. & Montanes, Antonio & Sansó, Andreu, 2000. "Measurement Errors and Outliers in Seasonal Unit Root Testing," University of California at San Diego, Economics Working Paper Series qt0gw7q9hk, Department of Economics, UC San Diego.
  6. Burridge, Peter & Taylor, A. M. Robert, 2001. "On regression-based tests for seasonal unit roots in the presence of periodic heteroscedasticity," Journal of Econometrics, Elsevier, vol. 104(1), pages 91-117, August.
  7. Phillips, P.C.B., 1986. "Testing for a Unit Root in Time Series Regression," Cahiers de recherche 8633, Universite de Montreal, Departement de sciences economiques.
  8. Franses, Philip Hans, 1996. "Periodicity and Stochastic Trends in Economic Time Series," OUP Catalogue, Oxford University Press, number 9780198774549.
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Cited by:
  1. Niels Haldrup & Andreu Sansó, 2006. "A Note on the Vogelsang Test for Additive Outliers," Economics Working Papers 2006-01, School of Economics and Management, University of Aarhus.

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