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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 is finite samples. We also illustrate its usefulness with an empirical example from economic growth.

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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
Contact details of provider: Postal: Guelph, Ontario, N1G 2W1
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Web page: https://www.uoguelph.ca/economics/

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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. 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.
  4. Jesús Gonzalo & Michael Wolf, 2001. "Subsampling inference in threshold autoregressive models," Economics Working Papers 573, Department of Economics and Business, Universitat Pompeu Fabra.
  5. 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.
  6. repec:att:wimass:9419 is not listed on IDEAS
  7. Dani Rodrik & Arvind Subramanian & Francesco Trebbi, 2002. "Institutions Rule: The Primacy of Institutions over Geography and Integration in Economic Development," NBER Working Papers 9305, National Bureau of Economic Research, Inc.
  8. 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.
  9. 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.
  10. 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..
  11. 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.
  12. William Easterly & Ross Levine, 2002. "Tropics, Germs, and Crops: How Endowments Influence Economic Development," Working Papers 15, Center for Global Development.
  13. Bruce E. Hansen, 1996. "Sample Splitting and Threshold Estimation," Boston College Working Papers in Economics 319., Boston College Department of Economics, revised 12 May 1998.
  14. 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.
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