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THRET: Threshold Regression with Endogenous Threshold Variables

  • Andros Kourtellos

    ()

    (University of Cyprus, Cyprus)

  • Chih Ming Tan

    ()

    (Tufts University, USA)

  • Thanasis Stengos

    ()

    (University of Guelph, Canada and The Rimini Centre for Economic Analysis, Rimini, Italy)

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 in finite samples. We also illustrate its usefulness with an empirical example from economic growth. JEL Classifications: C13, C51

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Paper provided by The Rimini Centre for Economic Analysis in its series Working Paper Series with number 05-08.

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Date of creation: Jan 2008
Date of revision: Jan 2008
Handle: RePEc:rim:rimwps:05-08
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  1. repec:att:wimass:9419 is not listed on IDEAS
  2. Andreas Savvides & Theofanis P. Mamuneas & 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.
  3. Durlauf, Steven N. & Kourtellos, Andros & Minkin, Artur, 2001. "The local Solow growth model," European Economic Review, Elsevier, vol. 45(4-6), pages 928-940, May.
  4. William Easterly & Ross Levine, 2002. "Tropics, Germs, and Crops: How Endowments Influence Economic Development," NBER Working Papers 9106, National Bureau of Economic Research, Inc.
  5. Bruce E. Hansen, 2000. "Sample Splitting and Threshold Estimation," Econometrica, Econometric Society, vol. 68(3), pages 575-604, May.
  6. Jesús Gonzalo & Michael Wolf, 2001. "Subsampling inference in threshold autoregressive models," Economics Working Papers 573, Department of Economics and Business, Universitat Pompeu Fabra.
  7. Durlauf, S.M. & Johnson, P.A., 1995. "Multiple Regimes and Cross-Country Growth Behavior," Working papers 9419r, Wisconsin Madison - Social Systems.
  8. Heckman, James J, 1979. "Sample Selection Bias as a Specification Error," Econometrica, Econometric Society, vol. 47(1), pages 153-61, January.
  9. 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.
  10. 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.
  11. Rodrik, Dani & Subramanian, Arvind & Trebbi, Francesco, 2002. "Institutions Rule: The Primacy of Institutions Over Geography and Integration in Economic Development," CEPR Discussion Papers 3643, C.E.P.R. Discussion Papers.
  12. Caner, Mehmet & Hansen, Bruce E., 2004. "Instrumental Variable Estimation Of A Threshold Model," Econometric Theory, Cambridge University Press, vol. 20(05), pages 813-843, October.
  13. Jeffrey D. Sachs, 2003. "Institutions Don't Rule: Direct Effects of Geography on Per Capita Income," NBER Working Papers 9490, National Bureau of Economic Research, Inc.
  14. Chih Ming Tan, 2005. "No One True Path: Uncovering the Interplay between Geography, Institutions, and Fractionalization in Economic Development," Discussion Papers Series, Department of Economics, Tufts University 0512, Department of Economics, Tufts University.
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