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Transition Variables in the Markov-switching Model: Some Small Sample Properties

  • Erlandsson, Ulf

    (Department of Economics, Lund University)

This paper researches small-sample properties of the Markov-switching model with time-varying transition probabilities. By means of simulation, it is shown that the likelihood ratio statistic is over-sized for sample sizes relevant in many empirical applications. The number of regime switches occurring in the sample rather than the total number of observations is central to the magnitude of the distortion, with other factors such a persistence in transition equation variables and the precision at which states are inferred being influential on size. In an application to possible predictors of switches to recessions in U.S. data, it is shown that critical values for the likelihood ratio statistic need to be adjusted far upwards to reflect true confidence levels.

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Paper provided by Lund University, Department of Economics in its series Working Papers with number 2005:25.

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Length: 16 pages
Date of creation: 21 Mar 2005
Date of revision:
Handle: RePEc:hhs:lunewp:2005_025
Contact details of provider: Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund,Sweden
Phone: +46 +46 222 0000
Fax: +46 +46 2224613
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  1. Filardo, Andrew J. & Gordon, Stephen F., 1998. "Business cycle durations," Journal of Econometrics, Elsevier, vol. 85(1), pages 99-123, July.
  2. Hamilton, James D., 1990. "Analysis of time series subject to changes in regime," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 39-70.
  3. Andrew J. Filardo, 1998. "Choosing information variables for transition probabilities in a time-varying transition probability Markov switching model," Research Working Paper 98-09, Federal Reserve Bank of Kansas City.
  4. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March.
  5. Francis X. Diebold & Joon-Haeng Lee & Gretchen C. Weinbach, 1993. "Regime switching with time-varying transition probabilities," Working Papers 93-12, Federal Reserve Bank of Philadelphia.
  6. Cheung, Yin-Wong & Erlandsson, Ulf G., 2005. "Exchange Rates and Markov Switching Dynamics," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 314-320, July.
  7. Gray, Stephen F., 1996. "Modeling the conditional distribution of interest rates as a regime-switching process," Journal of Financial Economics, Elsevier, vol. 42(1), pages 27-62, September.
  8. Kim, Chang-Jin, 1994. "Dynamic linear models with Markov-switching," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 1-22.
  9. Ang, Andrew & Bekaert, Geert, 2002. "Regime Switches in Interest Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(2), pages 163-82, April.
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