Range Unit-Root (RUR) Tests: Robust against Nonlinearities, Error Distributions, Structural Breaks and Outliers
AbstractSince the seminal paper by Dickey and Fuller in 1979, unit-root tests have conditioned the standard approaches to analysing time series with strong serial dependence in mean behaviour, the focus being placed on the detection of eventual unit roots in an autoregressive model fitted to the series. In this paper, we propose a completely different method to test for the type of long-wave patterns observed not only in unit-root time series but also in series following more complex data-generating mechanisms. To this end, our testing device analyses the unit-root persistence exhibited by the data while imposing very few constraints on the generating mechanism. We call our device the range unit-root (RUR) test since it is constructed from the running ranges of the series from which we derive its limit distribution. These nonparametric statistics endow the test with a number of desirable properties, the invariance to monotonic transformations of the series and the robustness to the presence of important parameter shifts. Moreover, the RUR test outperforms the power of standard unit-root tests on near-unit-root stationary time series; it is invariant with respect to the innovations distribution and asymptotically immune to noise. An extension of the RUR test, called the forward-backward range unit-root (FB-RUR) improves the check in the presence of additive outliers. Finally, we illustrate the performances of both range tests and their discrepancies with the Dickey-Fuller unit-root test on exchange rate series. Copyright 2006 The Authors Journal compilation 2006 Blackwell Publishing Ltd.
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Bibliographic InfoArticle provided by Wiley Blackwell in its journal Journal of Time Series Analysis.
Volume (Year): 27 (2006)
Issue (Month): 4 (07)
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- Antonio E. Noriega & Manuel Ramos Francia, 2009.
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- Kunst, Robert M., 2009. "A Nonparametric Test for Seasonal Unit Roots," Economics Series 233, Institute for Advanced Studies.
- Jurgen Holl & Robert Kunst, 2011.
"Unit root in unemployment - new evidence from nonparametric tests,"
Applied Economics Letters,
Taylor & Francis Journals, vol. 18(6), pages 509-512.
- Jürgen Holl & Robert M. Kunst, 2009. "Unit Root in Unemployment - New Evidence from Nonparametric Tests," Vienna Economics Papers 0915, University of Vienna, Department of Economics.
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- Alexeev, Vitali & Maynard, Alex, 2012.
"Localized level crossing random walk test robust to the presence of structural breaks,"
Computational Statistics & Data Analysis,
Elsevier, vol. 56(11), pages 3322-3344.
- Vitali Alexeev & Alex Maynard, 2010. "Localized Level Crossing Random Walk Test Robust to the Presence of Structural Breaks," Working Papers 1001, University of Guelph, Department of Economics and Finance.
- Alvaro Escribano & M. Santos & Ana Sipols, 2008. "Testing for cointegration using induced-order statistics," Computational Statistics, Springer, vol. 23(1), pages 131-151, January.
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