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Outliers and persistence in threshold autoregressive processes

Author

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  • Ahmad Yamin

    (Department of Economics, University of Wisconsin – Whitewater, 800 W Main Street, Whitewater, WI 53190, USA)

  • Donayre Luiggi

    (Department of Economics, University of Minnesota – Duluth, 1318 Kirby Drive, Duluth, MN 55812, USA)

Abstract

This paper uses Monte Carlo simulations to investigate the effects of outlier observations on the properties of linearity tests against threshold autoregressive (TAR) processes. By considering different specifications and levels of persistence for the data-generating processes, we find that additive outliers distort the size of the test and that the distortion increases with the level of persistence. In addition, we also find that larger additive outliers can help to improve the power of the test in the case of persistent TAR processes.

Suggested Citation

  • Ahmad Yamin & Donayre Luiggi, 2016. "Outliers and persistence in threshold autoregressive processes," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 20(1), pages 37-56, February.
    • Handle: RePEc:bpj:sndecm:v:20:y:2016:i:1:p:37-56:n:4
    DOI: 10.1515/snde-2014-0058
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    Cited by:

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    2. González-Sánchez, Mariano, 2021. "Is there a relationship between the time scaling property of asset returns and the outliers? Evidence from international financial markets," Finance Research Letters, Elsevier, vol. 38(C).
    3. Hirsch, Tristan & Rinke, Saskia, 2017. "Changes in Persistence in Outlier Contaminated Time Series," Hannover Economic Papers (HEP) dp-583, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    4. Donayre, Luiggi & Panovska, Irina, 2021. "Recession-specific recoveries: L’s, U’s and everything in between," Economics Letters, Elsevier, vol. 209(C).
    5. Lenin Arango-Castillo & Francisco J. Martínez-Ramírez & María José Orraca, 2024. "Univariate Measures of Persistence: A Comparative Analysis," Working Papers 2024-11, Banco de México.
    6. Rinke, Saskia, 2016. "The Influence of Additive Outliers on the Performance of Information Criteria to Detect Nonlinearity," Hannover Economic Papers (HEP) dp-575, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.

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