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Testing linearity against smooth transition autoregression using a parametric bootstrap

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Author Info

  • Skalin, Joakim

    () (Dept for Economic Affairs, Ministry of Finance)

Abstract

When testing the null hypothesis of linearity of a univariate time series against smooth transition autoregression (STAR), standard asymptotic distribution results do not apply since nuisance parameters in the model are unidentified under the null hypothesis. The prevailing test of Luukkonen, Saikkonen and Teräsvirta (1988) is based on a linearization, which may adversely affect its power. This paper discusses an alternative procedure, based on a parametric bootstrap of a likelihood ratio test statistic, and investigates its size and power properties by a small simulation study. The results, however, indicate that the power of the bootstrap test is inferior to that of the existing test.

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Bibliographic Info

Paper provided by Stockholm School of Economics in its series Working Paper Series in Economics and Finance with number 276.

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Length: 8 pages
Date of creation: 28 Oct 1998
Date of revision: 13 Dec 1998
Handle: RePEc:hhs:hastef:0276

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Related research

Keywords: Linearity testing; smooth transition autoregression model; nuisance parameter; nonstandard testing problem; bootstrap test;

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Cited by:
  1. Jonathan B. Hill, 2004. "Consistent LM-Tests for Linearity Against Compound Smooth Transition Alternatives," Econometric Society 2004 North American Summer Meetings 42, Econometric Society.
  2. Till Strohsal & Enzo Weber, 2012. "The Signal of Volatility," SFB 649 Discussion Papers SFB649DP2012-043, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  3. Matthew T. Holt & Joseph V. Balagtas, 2009. "Estimating Structural Change with Smooth Transition Regressions: An Application to Meat Demand," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 91(5), pages 1424-1431.
  4. Coakley, Jerry & Fuertes, Ana-Maria, 2006. "Testing for sign and amplitude asymmetries using threshold autoregressions," Journal of Economic Dynamics and Control, Elsevier, vol. 30(4), pages 623-654, April.
  5. Giorgio Valente & H. L. Leon & Lucio Sarno, 2006. "Nonlinearity in Deviations from Uncovered Interest Parity: An Explanation of the Forward Bias Puzzle," IMF Working Papers 06/136, International Monetary Fund.
  6. van Dijk, Dick & Franses, Philip Hans & Paap, Richard, 2002. "A nonlinear long memory model, with an application to US unemployment," Journal of Econometrics, Elsevier, vol. 110(2), pages 135-165, October.
  7. Jonathan B. Hill, 2004. "Consistent Model Specification Tests Against Smooth Transition Alternatives," Econometrics 0402004, EconWPA, revised 01 Mar 2004.
  8. Lucio Sarno & Daniel L. Thornton, 2002. "The dynamic relationship between the federal funds rate and the Treasury bill rate: an empirical investigation," Working Papers 2000-032, Federal Reserve Bank of St. Louis.
  9. repec:ebl:ecbull:v:6:y:2008:i:26:p:1-18 is not listed on IDEAS
  10. Jonathan B. Hill, 2004. "LM-Tests for Linearity Against Smooth Transition Alternatives: A Bootstrap Simulation Study," Econometrics 0401004, EconWPA, revised 05 Jul 2004.
  11. Sarno, Lucio, 2001. "The behavior of US public debt: a nonlinear perspective," Economics Letters, Elsevier, vol. 74(1), pages 119-125, December.

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