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Testing for a unit-root with a nonlinear Fourier function

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  • Junsoo Lee
  • Walter Enders

Abstract

The paper develops a unit-root test that allows for an unknown number of structural breaks with unknown functional forms. The test is based on the fact that the behavior of such series can often be captured using a single frequency component of a Fourier approximation. Hence, instead of selecting specific break dates, the number of breaks, and the form of the breaks, the specification problem is transformed into selecting the proper frequency component to include in the estimating equation. Our proposed test does not exhibit any serious size distortions, and shows decent power. The appropriate use of the test is illustrated using real GDP and the interest rate differential

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Bibliographic Info

Paper provided by Econometric Society in its series Econometric Society 2004 Far Eastern Meetings with number 457.

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Date of creation: 11 Aug 2004
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Handle: RePEc:ecm:feam04:457

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Related research

Keywords: Structural breaks; nonlinear models; Fourier approximation;

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Cited by:
  1. Claudio Morana, 2008. "International stock markets comovements: the role of economic and financial integration," Empirical Economics, Springer, vol. 35(2), pages 333-359, September.
  2. Chang, Chih Kai, 2012. "Mean Reversion of Real Interest Rates in G-20: Panel Kss Test by Spsm with a Fourier Function," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(3), pages 58-68, September.
  3. Cassola, Nuno & Morana, Claudio, 2006. "Comovements in volatility in the euro money market," Working Paper Series 0703, European Central Bank.
  4. Dimitris, Christopoulos & Miguel, Leon-Ledesma, 2009. "Smooth Breaks and Nonlinear Mean Reversion: Post-Bretton Woods Real Exchange Rates," MPRA Paper 22553, University Library of Munich, Germany.
  5. Macchiarelli, Corrado, 2013. "Similar GDP-inflation cycles. An application to CEE countries and the euro area," Research in International Business and Finance, Elsevier, vol. 27(1), pages 124-144.
  6. Claudio Morana, 2013. "Factor Vector Autoregressive Estimation of Heteroskedastic Persistent and Non Persistent Processes Subject to Structural Breaks: New Insights on the US OIS SPreads Term Structure," Working Papers 233, University of Milano-Bicocca, Department of Economics, revised Feb 2013.
  7. Tsangyao Chang & Tsung-pao Wu & Rangan Gupta, 2013. "Are House Prices in South Africa Really Non-Stationary? Evidence from SPSM-Based Panel KSS Test with a Fourier Function," Working Papers 201324, University of Pretoria, Department of Economics.
  8. Landajo, Manuel & Presno, María José, 2010. "Nonparametric pseudo-Lagrange multiplier stationarity testing," MPRA Paper 25659, University Library of Munich, Germany.
  9. Lee, Chia-Hao & Chou, Pei-I, 2013. "The behavior of real exchange rate: Nonlinearity and breaks," International Review of Economics & Finance, Elsevier, vol. 27(C), pages 125-133.
  10. Chang, Tsangyao & Chu, Hsiao-Ping & Ranjbar, Omid, 2014. "Are GDP fluctuations transitory or permanent in African countries? Sequential Panel Selection Method," International Review of Economics & Finance, Elsevier, vol. 29(C), pages 380-399.
  11. Claudio Morana, 2007. "Estimating, Filtering and Forecasting Realized Betas," ICER Working Papers - Applied Mathematics Series 6-2007, ICER - International Centre for Economic Research.
  12. Lau, Chi Keung Marco & Chau, Frankie & Deesomsak, Rataporn, 2011. "Panel Unit Root Test with Nonlinear Mean Reversion and Smooth Breaks," MPRA Paper 53602, University Library of Munich, Germany.

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