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THRET: Threshold Regression with Endogenous Threshold Variables

  • Kourtellos, A.
  • Tan, C.M.
  • Stengos, T.


    (University of Guelph, Department of Economics)

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 University of Guelph, Department of Economics and Finance in its series Working Papers with number 0801.

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Length: 26 pages
Date of creation: 2008
Date of revision:
Handle: RePEc:gue:guelph:2008-1
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  1. 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.
  2. William Easterly & Ross Levine, 2002. "Tropics, Germs, and Crops: How Endowments Influence Economic Development," NBER Working Papers 9106, National Bureau of Economic Research, Inc.
  3. Heckman, James J, 1979. "Sample Selection Bias as a Specification Error," Econometrica, Econometric Society, vol. 47(1), pages 153-61, January.
  4. 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.
  5. Durlauf,S.N. & Kourtellos,A. & Minkin,A., 2000. "The local Solow growth model," Working papers 21, Wisconsin Madison - Social Systems.
  6. Mamuneas, T.P. & Savvides, A. & Stengos, T., 2002. "Economic Development and the Return to Human Capital: A Smooth Coefficient Semiparametric Approach," Working Papers 2002-14, University of Guelph, Department of Economics and Finance.
  7. Bruce E. Hansen, 2000. "Sample Splitting and Threshold Estimation," Econometrica, Econometric Society, vol. 68(3), pages 575-604, May.
  8. 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.
  9. Durlauf, S.M. & Johnson, P.A., 1995. "Multiple Regimes and Cross-Country Growth Behavior," Working papers 9419r, Wisconsin Madison - Social Systems.
  10. 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.
  11. 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.
  12. 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.
  13. Gonzalo, Jesus & Wolf, Michael, 2005. "Subsampling inference in threshold autoregressive models," Journal of Econometrics, Elsevier, vol. 127(2), pages 201-224, August.
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