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Dickey-Fuller Type of Tests against Nonlinear Dynamic Models

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  • Changli He
  • Rickard Sandberg
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    Abstract

    In this paper, we introduce several test statistics testing the null hypothesis of a random walk (with or without drift) against models that accommodate a smooth nonlinear shift in the level, the dynamic structure and the trend. We derive analytical limiting distributions for all the tests. The power performance of the tests is compared with that of the unit-root tests by Phillips and Perron ["Biometrika" (1988), Vol. 75, pp. 335-346], and Leybourne, Newbold and Vougas ["Journal of Time Series Analysis" (1998), Vol. 19, pp. 83-97]. In the presence of a gradual change in the deterministics and in the dynamics, our tests are superior in terms of power. Copyright 2006 Blackwell Publishing Ltd.

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    Bibliographic Info

    Article provided by Department of Economics, University of Oxford in its journal Oxford Bulletin of Economics and Statistics.

    Volume (Year): 68 (2006)
    Issue (Month): s1 (December)
    Pages: 835-861

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    Handle: RePEc:bla:obuest:v:68:y:2006:i:s1:p:835-861

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    Cited by:
    1. Li, Dao & He, Changli, 2012. "Testing Common Nonlinear Features in Nonlinear Vector Autoregressive Models," Working Papers 2012:7, Örebro University, School of Business.

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