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  • George Kapetanios (a1)

Most work in the area of nonlinear econometric modeling is based on a single equation and assumes exogeneity of the explanatory variables. Recently, work by Caner and Hansen (2004) and Psaradakis, Sola, and Spagnolo (2005) has considered the possibility of estimating nonlinear models by methods that take into account endogeneity but provide no tests for exogeneity. This paper examines the problem of testing for exogeneity in nonlinear threshold models. We suggest new Hausman-type tests and discuss the use of the bootstrap to improve the properties of asymptotic tests. The theoretical properties of the tests are discussed and an extensive Monte Carlo study is undertaken.

Corresponding author
*Address correspondence to George Kapetanios, Department of Economics, Queen Mary, University of London, Mile End Road, London E1 4NS; email:
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Bickel, P.J., Gotze, F., & van Zwet, W.R. (1997) Resampling fewer than n observations: Gains, losses and remedies for losses. Statistica Sinica 7(1), 131.
Blundell, R., & Powell, J.L. (2004) Endogeneity in semiparametric binary response models. Review of Economic Studies 71, 581913.
Caner, M., & Hansen, B. (2004) Instrumental variables estimation of a threshold model. Econometric Theory 20, 813843.
Chan, K.S. (1993) Consistency and limiting distribution of the least squares estimator of a threshold autoregressive model. Annals of Statistics 21(1), 520533.
Freedman, D. (1981) Bootstrapping regression models. Annals of Statistics 9, 12181228.
Gonzalo, J., & Wolf, M. (2005) Subsampling inference in threshold autoregressive models. Journal of Econometrics 127, 201224.
Hansen, B.E. (1996) Inference when a nuisance parameter is not identified under the null hypothesis. Econometrica 64, 413430.
Hansen, B.E. (2000) Sample splitting and threshold estimation. Econometrica 68, 575603.
Hausman, J.A. (1978) Specification tests in econometrics. Econometrica 46, 12511271.
Inoue, A., & Kilian, L. (2003) The continuity of the limit distribution in the parameter of interest is not essential for the validity of the bootstrap. Econometric Theory 19, 944961.
Kapetanios, G. (2000) Small sample properties of the conditional least squares estimator in SETAR models. Economics Letters 69(3), 267276.
Kim, C.J. (2004) Markov-switching models with endogenous explanatory variables. Journal of Econometrics 122.
Peligrad, M. (1982) Invariance principles for mixing sequences of random variables. Annals of Probability 10, 968981.
Politis, D.N., & Romano, J.P. (1994a) Large sample confidence regions based on subsamples under minimal assumptions. Annals of Statistics 22(4), 20312050.
Politis, D.N., & Romano, J.P. (1994b) The stationary bootstrap. Journal of the American Statistical Association 89, 13031313.
Psaradakis, Z., Sola, M., & Spagnolo, F. (2005) Testing the unbiased forward exchange rate hypothesis using a Markov-switching model and instrumental variables. Journal of Applied Econometrics 20, 423437.
Tibshirani, R. (1988) Variance stabilization and the bootstrap. Biometrika 75(3), 433444.
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Econometric Theory
  • ISSN: 0266-4666
  • EISSN: 1469-4360
  • URL: /core/journals/econometric-theory
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