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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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File URL: http://papers.econ.ucy.ac.cy/RePEc/papers/03-08.pdf
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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
Contact details of provider: Web page: http://www.econ.ucy.ac.cy

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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. Durlauf, S.M. & Johnson, P.A., 1995. "Multiple Regimes and Cross-Country Growth Behavior," Working papers 9419r, Wisconsin Madison - Social Systems.
  3. 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.
  4. 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.
  5. 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.
  6. 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/.
  7. Oliver Linton & Myunghwan Seo, 2005. "A smoothed least squares estimator for threshold regression models," LSE Research Online Documents on Economics 4434, London School of Economics and Political Science, LSE Library.
  8. Jesús Gonzalo & Michael Wolf, 2001. "Subsampling inference in threshold autoregressive models," Economics Working Papers 573, Department of Economics and Business, Universitat Pompeu Fabra.
  9. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 31(3), pages 129-137.
  10. William Easterly & Ross Levine, 2002. "Tropics, Germs, and Crops: How Endowments Influence Economic Development," NBER Working Papers 9106, National Bureau of Economic Research, Inc.
  11. 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.
  12. Bruce E. Hansen, 2000. "Sample Splitting and Threshold Estimation," Econometrica, Econometric Society, vol. 68(3), pages 575-604, May.
  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.
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