D. W. Andrews and W. Ploberger, Tests for Parameter Instability and Structural Change With Unknown Change Point, Econometrica, vol.61, issue.4, pp.821-856, 1993.
DOI : 10.2307/2951764

D. W. Andrews and W. Ploberger, Optimal Tests when a Nuisance Parameter is Present Only Under the Alternative, Econometrica, vol.62, issue.6, pp.1383-1414, 1994.
DOI : 10.2307/2951753

D. W. Andrews and W. Ploberger, Admissibility of the Likelihood Ratio Test When a Nuisance Parameter is Present Only Under the Alternative, The Annals of Statistics, vol.23, issue.5, pp.1609-1629, 1995.
DOI : 10.1214/aos/1176324316

M. Carrasco, Misspecified Structural Change, Threshold, and Markov-switching models, Journal of Econometrics, vol.109, issue.2, pp.239-237, 2002.
DOI : 10.1016/S0304-4076(02)00112-4

M. Carrasco, H. Liang, and P. Wernr, Optimal Test for Markov Switching, 2004.

Y. W. Cheung and E. U. , Exchange Rates and Markov Switching Dynamics, Journal of Business & Economic Statistics, vol.23, issue.3, 2003.
DOI : 10.1198/073500104000000488

R. Chen and S. R. Tsay, On the Ergodicity of Tar(1) Processes, The Annals of Applied Probability, vol.1, issue.4, pp.613-634, 1991.
DOI : 10.1214/aoap/1177005841

C. W. Granger and T. Timo, A simple nonlinear time series model with misleading linear properties, Economics Letters, vol.62, issue.2, pp.161-165, 1999.
DOI : 10.1016/S0165-1765(98)00228-6

J. Coe, Power issues when testing the Markov switching model with the sup likelihood ratio test using U.S. output, Empirical Economics, vol.27, issue.2, pp.395-401, 2002.
DOI : 10.1007/s001810100098

R. Davies, Hypothesis testing when a nuisance parameter is present only under the alternative, Biometrika, vol.64, issue.2, pp.247-254, 1977.
DOI : 10.1093/biomet/64.2.247

R. Davies, Hypothesis testing when a nuisance parameter is present only under the alternative, Biometrica, vol.74, pp.33-43, 1987.

C. Engle and J. Hamilton, Long Swings in the Dollar: Are They in the Data and Do Markets Know It?, American Economic Review, vol.80, pp.689-713, 1990.

D. L. Ferrara and . Guégan, Detection of the Industrial Business Cycle using SETAR Models, Journal of Business Cycle Measurement and Analysis, vol.2005, issue.3, 2005.
DOI : 10.1787/jbcma-v2005-art9-en

URL : https://hal.archives-ouvertes.fr/halshs-00201309

R. Garcia, Asymptotic Null Distribution of the Likelihood Ratio Test in Markov Switching Models, International Economic Review, vol.39, issue.3, pp.763-788, 1998.
DOI : 10.2307/2527399

R. Garcia and P. Perron, An Analysis of the Real Interest Rate Under Regime Shifts, The Review of Economics and Statistics, vol.78, issue.1, pp.111-125, 1996.
DOI : 10.2307/2109851

F. Gong and S. R. Mariano, Testing Under Non-Standard Conditions in Frequency Domain: With Applications to Markov Regime Switching Models of Exchange Rates and Federal Funds Rate, Sta Reports, vol.23, 1997.

C. Granger and T. Teräsvirta, Modeling Nonlinear Economic Relationships, 1993.

D. Guégan, S. Rioublanc, and J. D. Hamilton, Regime Switching Models: Real or Spurious Long Memory?, Note de Recherche IDHE-MORA 2005-02Rational-Expectations Econometric Analysis of Changes in Regime: An Investigation of the term Structure of Interest Rates, pp.385-423, 1988.
DOI : 10.2139/ssrn.898829

J. D. Hamilton, A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle, Econometrica, vol.57, issue.2, pp.357-384, 1989.
DOI : 10.2307/1912559

J. D. Hamilton, Analysis of time series subject to changes in regime, Journal of Econometrics, vol.45, issue.1-2, pp.357-84, 1990.
DOI : 10.1016/0304-4076(90)90093-9

J. D. Hamilton, Time Series Analysis, 1994.

B. E. Hansen, Inference when a Nuisance Parameter is not Identied under the Null Hypothesis, 1991.

B. E. Hansen, The likelihood ratio test under nonstandard conditions: Testing the markov switching model of gnp, Journal of Applied Econometrics, vol.5, issue.S1, pp.61-82, 1992.
DOI : 10.1002/jae.3950070506

B. E. Hansen, Inference When a Nuisance Parameter Is Not Identified Under the Null Hypothesis, Econometrica, vol.64, issue.2, pp.413-430, 1996.
DOI : 10.2307/2171789

B. E. Hansen, Inference in TAR Models, Studies in Nonlinear Dynamics & Econometrics, vol.2, issue.1, pp.1-14, 1997.
DOI : 10.2202/1558-3708.1024

S. M. Potter, A Nonlinear Approach to US, 1995.

. T. Proietti, Characterizing Asymmetries in Business cycles using smoothing transition structural time series models, Studies in Nonlinear Dynamics and econometrics, vol.3, pp.141-156, 1998.

H. Tong, Nonlinear Time Series: A Dynamic System Approach, 1990.

J. F. Yao and J. G. Attali, On stability of nonlinear AR processes with Markov switching, Advances in Applied Probability, vol.45, issue.02, pp.394-407, 2000.
DOI : 10.1080/15326349908807535