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Structural Threshold Regression

Author

Listed:
  • Andros Kourtellos

    (Department of Economics, University of Cyprus)

  • Thanasis Stengos

    (Department of Economics, University of Guelph)

  • Chih Ming Tan

    (Department of Economics, Tufts University)

Abstract
This paper extends the simple threshold regression framework of Hansen (2000) and Caner and Hansen (2004) to allow for endogeneity of the threshold variable. We develop a concentrated least squares estimator of the threshold parameter based on an inverse Mills ratio bias correction. We show that our estimator is consistent and investigate its performance using a Monte Carlo simulation that indicates the applicability of the method in finite samples.

Suggested Citation

  • Andros Kourtellos & Thanasis Stengos & Chih Ming Tan, 2009. "Structural Threshold Regression," Working Paper series 22_09, Rimini Centre for Economic Analysis.
    • Handle: RePEc:rim:rimwps:22_09
    as

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    References listed on IDEAS

    as
    1. Seo, Myung Hwan & Linton, Oliver, 2007. "A smoothed least squares estimator for threshold regression models," Journal of Econometrics, Elsevier, vol. 141(2), pages 704-735, December.
    2. Caner, Mehmet & Hansen, Bruce E., 2004. "Instrumental Variable Estimation Of A Threshold Model," Econometric Theory, Cambridge University Press, vol. 20(5), pages 813-843, October.
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    4. Bruce E. Hansen, 2000. "Sample Splitting and Threshold Estimation," Econometrica, Econometric Society, vol. 68(3), pages 575-604, May.
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    6. Jushan Bai, 1997. "Estimation Of A Change Point In Multiple Regression Models," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 551-563, November.
    7. Papageorgiou, Chris, 2002. "Trade as a threshold variable for multiple regimes," Economics Letters, Elsevier, vol. 77(1), pages 85-91, September.
    8. Li, Qi & Wooldridge, Jeffrey M., 2002. "Semiparametric Estimation Of Partially Linear Models For Dependent Data With Generated Regressors," Econometric Theory, Cambridge University Press, vol. 18(3), pages 625-645, June.
    9. Gonzalo, Jesus & Wolf, Michael, 2005. "Subsampling inference in threshold autoregressive models," Journal of Econometrics, Elsevier, vol. 127(2), pages 201-224, August.
    10. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    11. Papageorgiou, Chris, 2006. "Trade as a threshold variable for multiple regimes: Reply," Economics Letters, Elsevier, vol. 91(3), pages 460-461, June.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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