Testing for Additive Outliers in Seasonally Integrated Time Series
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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- Niels Haldrup & Antonio Montanés & Andreu Sanso, .
"Measurement Errors and Outliers in Seasonal Unit Root Testing,"
Economics Working Papers
2000-8, Department of Economics and Business Economics, Aarhus University.
- Haldrup, Niels & Montanes, Antonio & Sanso, Andreu, 2005. "Measurement errors and outliers in seasonal unit root testing," Journal of Econometrics, Elsevier, vol. 127(1), pages 103-128, July.
- Haldrup, Niels Prof. & Montanes, Antonio & SansÃ³, 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.
- Franses, Philip Hans, 1996. "Periodicity and Stochastic Trends in Economic Time Series," OUP Catalogue, Oxford University Press, number 9780198774549, December.
- Franses, Philip Hans & Paap, Richard, 2004. "Periodic Time Series Models," OUP Catalogue, Oxford University Press, number 9780199242030, December.
- 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.
- Burridge, P. & Taylor, A.M.R., 1999. "On Regression-Based Tests for Seasonal Unit Roots in the Presence of Periodic Heteroscedasticity," Discussion Papers 99-10, Department of Economics, University of Birmingham.
- Perron, P. & Rodriguez, G., 2000.
"Seraching for Additive Outliers in Nonstationary Time Series,"
0005e, University of Ottawa, Department of Economics.
- Pierre Perron & Gabriel RodrÌguez, 2003. "Searching For Additive Outliers In Nonstationary Time Series," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(2), pages 193-220, 03.
- 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.
- 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.
- 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.
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