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Seraching for Additive Outliers in Nonstationary Time Series

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  • Perron, P.
  • Rodriguez, G.

Abstract

Recently, Vogelsang (1999) proposed a method to detect outliers which explicitly imposes the null hypothesis of a unit root. It works in an iterative fashion to select multiple outliers in a given series. We show, via simulations, that under the null hypothesis of no outliers, it has the right size in finite samples to detect a single outlier but when applied in an iterative fashion to select multiple outliers, it exhibits severe size distortions towards finding an excessive number of outliers. We show that this iterative method is incorrect and derice the appropriate limiting distribution of the test at each step of the search.

Suggested Citation

  • Perron, P. & Rodriguez, G., 2000. "Seraching for Additive Outliers in Nonstationary Time Series," Working Papers 0005e, University of Ottawa, Department of Economics.
  • Handle: RePEc:ott:wpaper:0005e
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    References listed on IDEAS

    as
    1. Timothy J. Vogelsang, 1999. "Two Simple Procedures for Testing for a Unit Root When There are Additive Outliers," Journal of Time Series Analysis, Wiley Blackwell, vol. 20(2), pages 237-252, March.
    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 471-478, October.
    4. Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-320, July.
    5. Milton Friedman & Anna J. Schwartz, 1982. "Monetary Trends in the United States and United Kingdom: Their Relation to Income, Prices, and Interest Rates, 1867–1975," NBER Books, National Bureau of Economic Research, Inc, number frie82-2, February.
    6. Pierre Perron & Serena Ng, 1996. "Useful Modifications to some Unit Root Tests with Dependent Errors and their Local Asymptotic Properties," Review of Economic Studies, Oxford University Press, vol. 63(3), pages 435-463.
    7. Douglas M. Hawkins, 1973. "Repeated testing for outliers," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 27(1), pages 1-10, March.
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    More about this item

    Keywords

    ECONOMETRICS ; ECONOMIC MODELS;

    JEL classification:

    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling

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