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A Nonlinear Unit Root Test in the Presence of an Unknown Break

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  • Popp, Stephan

Abstract

The Perron test is the most commonly applied procedure to test for a unit root in the presence of a structural break of unknown timing in the trend function. Deriving the Perron-type test regression from an unobserved component model, it is shown that the test regression in fact is nonlinear in coefficient. Taking account of the nonlinearity leads to a test with properties that are exclusively assigned to Schmidt-Phillips LM-type unit root tests.

Suggested Citation

  • Popp, Stephan, 2008. "A Nonlinear Unit Root Test in the Presence of an Unknown Break," Ruhr Economic Papers 45, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    • Handle: RePEc:zbw:rwirep:45
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    Cited by:

    1. Shanthini, Rajaratnam, 2007. "Fossil fuel based CO2 emissions, economic growth, and world crude oil price nexus in the United States," MPRA Paper 29574, University Library of Munich, Germany, revised 19 Feb 2011.

    More about this item

    Keywords

    Unit root tests; nonlinear regression; structural breaks; innovational outliers;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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