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Threshold nonlinearities in output: some international evidence

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  • D. A. Peel
  • A. E. H. Speight

Abstract

The empirical adequacy of linear AR and nonlinear SETAR models of trend-stationary and difference-stationary representations of output for Canada, Germany, Japan, the UK and the US are appraised. Test results suggest the presence of linear model residual structure of some form for all series, and nonlinearities of specifically threshold form in trend-stationary data for Canada, Germany, Japan and the US, and difference-stationary data for Germany, Japan and the US. With the exception of Canada, estimated threshold nonlinear models imply asymmetric dynamics, are able to account for all nonlinear structure in the data on the basis of BDS statistics, and provide sizeable reductions in residual variance in several cases, most notably for Germany.

Suggested Citation

  • D. A. Peel & A. E. H. Speight, 1998. "Threshold nonlinearities in output: some international evidence," Applied Economics, Taylor & Francis Journals, vol. 30(3), pages 323-333.
    • Handle: RePEc:taf:applec:v:30:y:1998:i:3:p:323-333
    DOI: 10.1080/000368498325840
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    References listed on IDEAS

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    1. Granger, Clive W. J. & Terasvirta, Timo, 1993. "Modelling Non-Linear Economic Relationships," OUP Catalogue, Oxford University Press, number 9780198773207, Decembrie.
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    1. Luis Eduardo Arango & Luis Fernando Melo, 2001. "Expansions and Contractions in Some Latin American Countries: A view Throught Non-Linear Models," Borradores de Economia 186, Banco de la Republica de Colombia.
    2. Almeida, Pedro Cameira de & Fuinhas, José Alberto & Marques, António Cardoso, 2011. "A assimetria dos ciclos económicos: Evidência internacional usando o teste triples [The asymmetry of business cycles: International evidence using triples test]," MPRA Paper 35208, University Library of Munich, Germany.
    3. Luis Arango & Andres Gonzalez, 2001. "Some evidence of smooth transition nonlinearity in Colombian inflation," Applied Economics, Taylor & Francis Journals, vol. 33(2), pages 155-162.
    4. De Gooijer, Jan G. & Vidiella-i-Anguera, Antoni, 2004. "Forecasting threshold cointegrated systems," International Journal of Forecasting, Elsevier, vol. 20(2), pages 237-253.
    5. Marian Vavra, 2012. "A Note on the Finite Sample Properties of the CLS Method of TAR Models," Birkbeck Working Papers in Economics and Finance 1206, Birkbeck, Department of Economics, Mathematics & Statistics.
    6. R. Inglesi-Lotz & A. Hakimi & A. Pouris, 2018. "Patents vs publications and R&D: three sides of the same coin? Panel Smooth Transition Regression (PSTR) for OECD and BRICS countries," Applied Economics, Taylor & Francis Journals, vol. 50(45), pages 4912-4923, September.
    7. Uctum, Remzi, 2007. "Économétrie des modèles à changement de régimes : un essai de synthèse," L'Actualité Economique, Société Canadienne de Science Economique, vol. 83(4), pages 447-482, décembre.
    8. Arango, Luis E. & Melo, Luis F., 2006. "Expansions and contractions in Brazil, Colombia and Mexico: A view through nonlinear models," Journal of Development Economics, Elsevier, vol. 80(2), pages 501-517, August.
    9. Cai, Yuzhi, 2007. "A quantile approach to US GNP," Economic Modelling, Elsevier, vol. 24(6), pages 969-979, November.
    10. Paap, Richard & van Dijk, Herman K, 2003. "Bayes Estimates of Markov Trends in Possibly Cointegrated Series: An Application to U.S. Consumption and Income," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(4), pages 547-563, October.
    11. Hamdi, Helmi & Hakimi, Abdelaziz, 2019. "Does Liquidity Matter on Bank Profitability? Evidence from a Nonlinear Framework for a Large Sample," Business and Economics Research Journal, Uludag University, Faculty of Economics and Administrative Sciences, vol. 10(1), pages 13-26, January.
    12. Hui Feng & Jia Liu, 2003. "A SETAR model for Canadian GDP: non-linearities and forecast comparisons," Applied Economics, Taylor & Francis Journals, vol. 35(18), pages 1957-1964.
    13. Beatriz C. Galvao, Ana, 2002. "Can non-linear time series models generate US business cycle asymmetric shape?," Economics Letters, Elsevier, vol. 77(2), pages 187-194, October.
    14. Luis Eduardo Arango & Fernando Arias & Luz Adriana Flórez, 2008. "Trends, Fluctuations, and Determinants of Commodity Prices," Borradores de Economia 4734, Banco de la Republica.

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