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Improved Testing And Specification Of Smooth Transition Regression Models

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  • Oscar Jorda
  • Alvaro Escribano

    (Department of Economics, University of California Davis)

Abstract

This paper extends previous work in Escribano and Jorda (1997) and introduces new LM specification procedures to choose between Logistic and Exponential Smooth Transition Regression (STR) Models. These procedures are simpler, consistent and more powerful than those previously available in the literature. An analysis of the properties of Taylor approximations around the transition function of STR models permits one to understand why these procedures work better and it suggests ways to improve tests of the null hypothesis of linearity versus the alternative of STR-type nonlinearity. Monte-Carlo experiments illustrate the performance of the different tests introduced. The new procedures are then implemented on a study of the dynamics of the U.S. unemployment rate.

Suggested Citation

  • Oscar Jorda & Alvaro Escribano, 2003. "Improved Testing And Specification Of Smooth Transition Regression Models," Working Papers 9726, University of California, Davis, Department of Economics.
  • Handle: RePEc:cda:wpaper:97-26
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    References listed on IDEAS

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    1. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-430, March.
    2. Álvaro Escribano & Oscar Jordá, 2001. "Testing nonlinearity: Decision rules for selecting between logistic and exponential STAR models," Spanish Economic Review, Springer;Spanish Economic Association, vol. 3(3), pages 193-209.
    3. Gerard A. Pfann & Franz C. Palm, 1993. "Asymmetric Adjustment Costs in Non-linear Labour Demand Models for the Netherlands and U.K. Manufacturing Sectors," Review of Economic Studies, Oxford University Press, vol. 60(2), pages 397-412.
    4. Terasvirta, T & Anderson, H M, 1992. "Characterizing Nonlinearities in Business Cycles Using Smooth Transition Autoregressive Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages 119-136, Suppl. De.
    5. Burgess, Simon M & Dolado, Juan J, 1989. "Intertemporal Rules with Variable Speed of Adjustment: An Application to U.K. Manufacturing Employment," Economic Journal, Royal Economic Society, vol. 99(396), pages 347-365, June.
    6. Robert B. Davies, 2002. "Hypothesis testing when a nuisance parameter is present only under the alternative: Linear model case," Biometrika, Biometrika Trust, vol. 89(2), pages 484-489, June.
    7. Pesaran, M. Hashem & Potter, Simon M., 1997. "A floor and ceiling model of US output," Journal of Economic Dynamics and Control, Elsevier, vol. 21(4-5), pages 661-695, May.
    8. Neftci, Salih N, 1984. "Are Economic Time Series Asymmetric over the Business Cycle?," Journal of Political Economy, University of Chicago Press, vol. 92(2), pages 307-328, April.
    9. Christopher A. Pissarides, 1992. "Loss of Skill During Unemployment and the Persistence of Employment Shocks," The Quarterly Journal of Economics, Oxford University Press, vol. 107(4), pages 1371-1391.
    10. Burgess, Simon M, 1988. "Employment Adjustment in UK Manufacturing," Economic Journal, Royal Economic Society, vol. 98(389), pages 81-103, March.
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