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Testing for Regime Switching: A Comment

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  • Carter, Andrew V
  • Steigerwald, Douglas G

Abstract

In Cho and White (2007) "Testing for Regime Switching" the authors obtain the asymptotic null distribution of a quasi-likelihood ratio (QLR) statistic. The statistic is designed to test the null hypothesis of one regime against the alternative of Markov switching between two regimes. Likelihood ratio statistics are used because the test involves nuisance parameters that are not identified under the null hypothesis, together with other nonstandard features. Cho and White focus on a quasi-likelihood, which ignores certain serial correlation properties but allows for a tractable factorization of the likelihood. While the majority of their paper focuses on asymptotic behavior under the null hypothesis, Theorem 1(b) states that the quasi-maximum likelihood estimator (QMLE) is consistent under the alternative hypothesis. Consistency of the QMLE requires that the expected quasi-log-likelihood attain a global maximum at the population parameter values. This requirement holds for some Markov regime-switching processes but, as we show below, not for an autoregressive process as analyzed in Cho and White.

Suggested Citation

  • Carter, Andrew V & Steigerwald, Douglas G, 2010. "Testing for Regime Switching: A Comment," University of California at Santa Barbara, Economics Working Paper Series qt5079q9dc, Department of Economics, UC Santa Barbara.
  • Handle: RePEc:cdl:ucsbec:qt5079q9dc
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    References listed on IDEAS

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    1. Levine, David, 1983. "A remark on serial correlation in maximum likelihood," Journal of Econometrics, Elsevier, vol. 23(3), pages 337-342, December.
    2. Kim, Chang-Jin & Piger, Jeremy & Startz, Richard, 2008. "Estimation of Markov regime-switching regression models with endogenous switching," Journal of Econometrics, Elsevier, vol. 143(2), pages 263-273, April.
    3. Durbin, James & Koopman, Siem Jan, 2012. "Time Series Analysis by State Space Methods," OUP Catalogue, Oxford University Press, edition 2, number 9780199641178.
    4. Sean D. Campbell, 2002. "Specification Testing and Semiparametric Estimation of Regime Switching Models: An Examination of the US Short Term Interest Rate," Working Papers 2002-26, Brown University, Department of Economics.
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    Citations

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    Cited by:

    1. Jean-Marie DUFOUR & Richard LUGER, 2016. "Identification-Robust Moment-Based Tests for Markov-Switching in Autoregressive Models," Cahiers de recherche 15-2016, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    2. James D. Hamilton, 2016. "Macroeconomic Regimes and Regime Shifts," NBER Working Papers 21863, National Bureau of Economic Research, Inc.
    3. Sergei Koulayev & Marc Rysman & Scott Schuh & Joanna Stavins, 2016. "Explaining adoption and use of payment instruments by US consumers," RAND Journal of Economics, RAND Corporation, vol. 47(2), pages 293-325, May.
    4. Valerie K. Bostwick & Douglas G. Steigerwald, 2014. "Obtaining critical values for test of Markov regime switching," Stata Journal, StataCorp LP, vol. 14(3), pages 481-498, September.
    5. Carter Andrew V. & Steigerwald Douglas G., 2013. "Markov Regime-Switching Tests: Asymptotic Critical Values," Journal of Econometric Methods, De Gruyter, vol. 2(1), pages 25-34, July.
    6. repec:eee:macchp:v2-163 is not listed on IDEAS
    7. Boris Blagov & Michael Funke & Richhild Moessner, 2015. "Modelling the time-variation in euro area lending spreads," BIS Working Papers 526, Bank for International Settlements.
    8. Candelon, Bertrand & Metiu, Norbert & Straetmans, Stefan, 2013. "Disentangling economic recessions and depressions," Discussion Papers 43/2013, Deutsche Bundesbank.
    9. Pierre Guerin & Danilo Leiva-Leon & Massimiliano Marcellino, 2016. "Markov-Switching Three-Pass Regression Filter," Working Papers 591, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    10. repec:spr:empeco:v:54:y:2018:i:3:d:10.1007_s00181-017-1256-z is not listed on IDEAS
    11. Maddalena Cavicchioli, 2015. "Likelihood Ratio Test and Information Criteria for Markov Switching Var Models: An Application to the Italian Macroeconomy," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 1(3), pages 315-332, November.

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