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Markov-switching models with endogenous explanatory variables II: A two-step MLE procedure

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  • Kim, Chang-Jin

Abstract

This paper proposes a two-step maximum likelihood estimation (MLE) procedure to deal with the problem of endogeneity in Markov-switching regression models. A joint estimation procedure provides us with an asymptotically most efficient estimator, but it is not always feasible, due to the 'curse of dimensionality' in the matrix of transition probabilities. A two-step estimation procedure, which ignores potential correlation between the latent state variables, suffers less from the 'curse of dimensionality', and it provides a reasonable alternative to the joint estimation procedure. In addition, our Monte Carlo experiments show that the two-step estimation procedure can be more efficient than the joint estimation procedure in finite samples, when there is zero or low correlation between the latent state variables.

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  • Kim, Chang-Jin, 2009. "Markov-switching models with endogenous explanatory variables II: A two-step MLE procedure," Journal of Econometrics, Elsevier, vol. 148(1), pages 46-55, January.
  • Handle: RePEc:eee:econom:v:148:y:2009:i:1:p:46-55
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    Cited by:

    1. Chang, Yoosoon & Choi, Yongok & Park, Joon Y., 2017. "A new approach to model regime switching," Journal of Econometrics, Elsevier, vol. 196(1), pages 127-143.
    2. Blommestein, Hans & Eijffinger, Sylvester & Qian, Zongxin, 2016. "Regime-dependent determinants of Euro area sovereign CDS spreads," Journal of Financial Stability, Elsevier, vol. 22(C), pages 10-21.
    3. Jinho Bae & Chang-Jin Kim & Dong Kim, 2012. "The evolution of the monetary policy regimes in the U.S," Empirical Economics, Springer, vol. 43(2), pages 617-649, October.
    4. repec:mes:emfitr:v:52:y:2016:i:1:p:10-21 is not listed on IDEAS
    5. Otilia Boldea & Alastair R. Hall, 2013. "Testing structural stability in macroeconometric models," Chapters,in: Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 9, pages 206-228 Edward Elgar Publishing.
    6. de Bruijn, L.P. & Franses, Ph.H.B.F., 2015. "Stochastic levels and duration dependence in US unemployment," Econometric Institute Research Papers EI2015-20, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    7. Manuel Gonzalez-Astudillo, 2013. "Monetary-fiscal policy interactions: interdependent policy rule coefficients," Finance and Economics Discussion Series 2013-58, Board of Governors of the Federal Reserve System (U.S.).
    8. ZHENG, Tingguo & WANG, Xia & GUO, Huiming, 2012. "Estimating forward-looking rules for China's Monetary Policy: A regime-switching perspective," China Economic Review, Elsevier, vol. 23(1), pages 47-59.
    9. Blommestein, Hans J. & Eijffinger, Sylvester C W & Qian, Zongxin, 2012. "Animal Spirits in the Euro Area Sovereign CDS Market," CEPR Discussion Papers 9092, C.E.P.R. Discussion Papers.

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