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THRET: Threshold Regression with Endogenous Threshold Variables

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  • Andros Kourtellos
  • Thanasis Stengos
  • Chih Ming Tan

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 two-stage least squares (C2SLS) estimator of the threshold parameter that is based on an inverse Mills ratio bias correction. Our method also allows for the endogeneity of the slope variables. We show that our estimator is consistent and investigate its performance using a Monte Carlo simulation that indicates the applicability of the method is finite samples. We also illustrate its usefulness with an empirical example from economic growth.

Suggested Citation

  • Andros Kourtellos & Thanasis Stengos & Chih Ming Tan, 2008. "THRET: Threshold Regression with Endogenous Threshold Variables," University of Cyprus Working Papers in Economics 3-2008, University of Cyprus Department of Economics.
    • Handle: RePEc:ucy:cypeua:3-2008
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    References listed on IDEAS

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    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.
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    8. Daron Acemoglu & Simon Johnson & James A. Robinson, 2001. "The Colonial Origins of Comparative Development: An Empirical Investigation," American Economic Review, American Economic Association, vol. 91(5), pages 1369-1401, December.
    9. Dani Rodrik & Arvind Subramanian & Francesco Trebbi, 2004. "Institutions Rule: The Primacy of Institutions Over Geography and Integration in Economic Development," Journal of Economic Growth, Springer, vol. 9(2), pages 131-165, June.
    10. Gonzalo, Jesus & Wolf, Michael, 2005. "Subsampling inference in threshold autoregressive models," Journal of Econometrics, Elsevier, vol. 127(2), pages 201-224, August.
    11. 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.
    12. Chih Ming Tan, 2010. "No one true path: uncovering the interplay between geography, institutions, and fractionalization in economic development," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(7), pages 1100-1127, November/.
    13. Theofanis P. Mamuneas & Andreas Savvides & Thanasis Stengos, 2006. "Economic development and the return to human capital: a smooth coefficient semiparametric approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(1), pages 111-132, January.
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    Cited by:

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    2. Alia, Didier Yelognisse & Anago, Romuald E. Kouadio, 2014. "Foreign aid effectiveness in African economies: Evidence from a panel threshold framework," WIDER Working Paper Series 015, World Institute for Development Economic Research (UNU-WIDER).
    3. George Kapetanios & James Mitchell & Yongcheol Shin, 2010. "A Nonlinear Panel Model of Cross-sectional Dependence," Working Papers 673, Queen Mary University of London, School of Economics and Finance.
    4. Gebauer, Stefan & Setzer, Ralph & Westphal, Andreas, 2017. "Corporate debt and investment: a firm analysis for stressed euro area countries," Working Paper Series 2101, European Central Bank.
    5. Markus Eberhardt & Francis Teal, 2011. "Econometrics For Grumblers: A New Look At The Literature On Cross‐Country Growth Empirics," Journal of Economic Surveys, Wiley Blackwell, vol. 25(1), pages 109-155, February.
    6. Otilia Boldea & Alastair R. Hall, 2013. "Testing structural stability in macroeconometric models," Chapters, in: Nigar Hashimzade & Michael A. Thornton (ed.), Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 9, pages 206-228, Edward Elgar Publishing.
    7. Lee, Hsiu-Yun, 2011. "Nonlinear exchange rate dynamics under stochastic official intervention," Economic Modelling, Elsevier, vol. 28(4), pages 1510-1518, July.
    8. Jean-Louis Combes & Alexandru Minea & Pegdéwendé Nestor Sawadogo, 2019. "Does the composition of government expenditures matter for sovereign bond spreads' evolution in developing countries?," Working Papers halshs-02019063, HAL.
    9. Farhani, Sahbi & Shahbaz, Muhammad, 2014. "What role of renewable and non-renewable electricity consumption and output is needed to initially mitigate CO2 emissions in MENA region?," Renewable and Sustainable Energy Reviews, Elsevier, vol. 40(C), pages 80-90.
    10. Gebauer, Stefan & Setzer, Ralph & Westphal, Andreas, 2018. "Corporate debt and investment: A firm-level analysis for stressed euro area countries," Journal of International Money and Finance, Elsevier, vol. 86(C), pages 112-130.
    11. Bose, Niloy & Murshid, Antu Panini & Wurm, Martin A., 2012. "The Growth Effects of Property Rights: The Role of Finance," World Development, Elsevier, vol. 40(9), pages 1784-1797.
    12. repec:ipg:wpaper:2014-455 is not listed on IDEAS
    13. Thanassis Kazanas & Elias Tzavalis, 2011. "Unveiling the monetary policy rule in euro area," Working Papers 130, Bank of Greece.

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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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