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THRET: Threshold Regression with Endogenous Threshold Variables

  • Andros Kourtellos
  • Thanasis Stengos
  • Chih Ming Tan

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.

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Paper provided by University of Cyprus Department of Economics in its series University of Cyprus Working Papers in Economics with number 3-2008.

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Length: 27 pages
Date of creation: Mar 2008
Date of revision:
Handle: RePEc:ucy:cypeua:3-2008
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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.
  2. Heckman, James J, 1979. "Sample Selection Bias as a Specification Error," Econometrica, Econometric Society, vol. 47(1), pages 153-61, January.
  3. repec:att:wimass:9419 is not listed on IDEAS
  4. Easterly, William & Levine, Ross, 2003. "Tropics, germs, and crops: how endowments influence economic development," Journal of Monetary Economics, Elsevier, vol. 50(1), pages 3-39, January.
  5. Jesús Gonzalo & Michael Wolf, 2001. "Subsampling inference in threshold autoregressive models," Economics Working Papers 573, Department of Economics and Business, Universitat Pompeu Fabra.
  6. Durlauf, Steven N & Johnson, Paul A, 1995. "Multiple Regimes and Cross-Country Growth Behaviour," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(4), pages 365-84, Oct.-Dec..
  7. Daron Acemoglu & Simon Johnson & James A. Robinson, 2000. "The Colonial Origins of Comparative Development: An Empirical Investigation," NBER Working Papers 7771, National Bureau of Economic Research, Inc.
  8. 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.
  9. 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.
  10. Bruce E. Hansen, 2000. "Sample Splitting and Threshold Estimation," Econometrica, Econometric Society, vol. 68(3), pages 575-604, May.
  11. 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/.
  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. 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.
  14. Durlauf,S.N. & Kourtellos,A. & Minkin,A., 2000. "The local Solow growth model," Working papers 21, Wisconsin Madison - Social Systems.
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