Structural Threshold Regression
This paper introduces the structural threshold regression model that allows for an endogeneous threshold variable as well as for endogenous regressors. This model provides a parsimonious way of modeling nonlinearities and has many potential applications in economics and finance. Our framework can be viewed as a generalization of the simple threshold regression framework of Hansen (2000) and Caner and Hansen (2004) to allow for the endogeneity of the threshold variable and regime specific heteroskedasticity. Our estimation of the threshold parameter is based on a concentrated least squares method that involves an inverse Mills ratio bias correction term in each regime. We derive its asymptotic distribution and propose a method to construct bootstrap confidence intervals. We also provide inference for the slope parameters based on GMM. Finally, we investigate the performance of the asymptotic approximations and the bootstrap using a Monte Carlo simulation that indicates the applicability of the method in finite samples.
|Date of creation:||Nov 2011|
|Date of revision:|
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- Bruce E. Hansen, 2000.
"Sample Splitting and Threshold Estimation,"
Econometric Society, vol. 68(3), pages 575-604, May.
- William Easterly & Ross Levine, 2002.
"Tropics, Germs, and Crops: How Endowments Influence Economic Development,"
15, Center for Global Development.
- 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.
- William Easterly & Ross Levine, 2002. "Tropics, Germs, and Crops: How Endowments Influence Economic Development," NBER Working Papers 9106, National Bureau of Economic Research, Inc.
- Li, Qi & Wooldridge, Jeffrey M., 2002. "Semiparametric Estimation Of Partially Linear Models For Dependent Data With Generated Regressors," Econometric Theory, Cambridge University Press, vol. 18(03), pages 625-645, June.
- 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.
- 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.
- Papageorgiou, Chris, 2006. "Trade as a threshold variable for multiple regimes: Reply," Economics Letters, Elsevier, vol. 91(3), pages 460-461, June.
- 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.
- 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.
- Heckman, James J, 1979.
"Sample Selection Bias as a Specification Error,"
Econometric Society, vol. 47(1), pages 153-61, January.
- Gonzalo, Jesus & Wolf, Michael, 2005.
"Subsampling inference in threshold autoregressive models,"
Journal of Econometrics,
Elsevier, vol. 127(2), pages 201-224, August.
- Jesús Gonzalo & Michael Wolf, 2001. "Subsampling inference in threshold autoregressive models," Economics Working Papers 573, Department of Economics and Business, Universitat Pompeu Fabra.
- 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.
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