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A structural Time Series Model with Markov Switching

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Author Info
Shami, R.G.
Forbes, C.S.
Abstract

We propose an innovations form of the structural model underlying exponential smoothing that is further augmented by a latent Markov switching process. A particular case of the new model is the local level model with a switching drift, where the switching component describes the change between high and low growth rate periods. This new model is used to analyse the US business cycle using US Quarterly real GNP data. Model parameters are estimated using a Gibbs sampling algorithm and subsequently used for forecasting purposes. In addition, the stability of the new model is tested against Hamilton's model over a range of observation periods.

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Paper provided by Monash University, Department of Econometrics and Business Statistics in its series Monash Econometrics and Business Statistics Working Papers with number 10/2000.

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Length: 29 pages
Date of creation: Dec 2000
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Handle: RePEc:msh:ebswps:2000-10

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Related research
Keywords: Structural models; Markov switching regime; Gibbs sampling Business cycle.;

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Find related papers by JEL classification:
C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Bayesian Analysis
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Other Model Applications

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Shami, R.G. & Snyder, R.D., 1998. "Exponential Smoothing Methods of Forecasting and General ARMA Time Series Representations," Monash Econometrics and Business Statistics Working Papers 3/98, Monash University, Department of Econometrics and Business Statistics.
  2. Masanao Aoki, 1992. "Interactions of Real GNP Business Cycles in a Three Country Time Series Model," UCLA Economics Working Papers 675, UCLA Department of Economics. [Downloadable!]
  3. Perron, P. & Phillips, P.C.B., 1986. "Does Gnp Have a Unit Root? a Reevaluation," Cahiers de recherche 8640, Universite de Montreal, Departement de sciences economiques.
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  4. Stephen G. Cecchetti & Pok-sang Lam & Nelson C. Mark, 1990. "Mean Reversion in Equilibrium Asset Prices," NBER Working Papers 2762, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  5. Hansen, Bruce E, 1992. "The Likelihood Ratio Test under Nonstandard Conditions: Testing the Markov Switching Model of GNP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages S61-82, Suppl. De. [Downloadable!] (restricted)
  6. Clark, Peter K, 1987. "The Cyclical Component of U.S. Economic Activity," The Quarterly Journal of Economics, MIT Press, vol. 102(4), pages 797-814, November. [Downloadable!] (restricted)
  7. Michael D. Boldin, 1996. "A Check on the Robustness of Hamilton's Markov Switching Model Approach to the Economic Analysis of the Business Cycle," Studies in Nonlinear Dynamics & Econometrics, Berkeley Electronic Press, vol. 1(1). [Downloadable!]
  8. Albert, James H & Chib, Siddhartha, 1993. "Bayes Inference via Gibbs Sampling of Autoregressive Time Series Subject to Markov Mean and Variance Shifts," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 1-15, January.
  9. 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. [Downloadable!] (restricted)
  10. Harvey, A C, 1985. "Trends and Cycles in Macroeconomic Time Series," Journal of Business & Economic Statistics, American Statistical Association, vol. 3(3), pages 216-27, June.
  11. James D. Hamilton & Gang Lin, 1996. "Stock Market Volatility and The Business Cycle," University of California at San Diego, Economics Working Paper Series 96-18, Department of Economics, UC San Diego. [Downloadable!]
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  12. Watson, Mark W., 1986. "Univariate detrending methods with stochastic trends," Journal of Monetary Economics, Elsevier, vol. 18(1), pages 49-75, July. [Downloadable!] (restricted)
  13. Diebold, Francis X & Rudebusch, Glenn D, 1989. "Scoring the Leading Indicators," Journal of Business, University of Chicago Press, vol. 62(3), pages 369-91, July. [Downloadable!] (restricted)
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  14. Ord, J.K. & Koehler, A. & Snyder, R.D., 1995. "Estimation and Prediction for a Class of Dynamic Nonlinear Statistical Models," Monash Econometrics and Business Statistics Working Papers 4/95, Monash University, Department of Econometrics and Business Statistics.
  15. Hamilton, James D., 1990. "Analysis of time series subject to changes in regime," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 39-70. [Downloadable!] (restricted)
  16. Aoki, Masanao, 1988. "On alternative state space representations of time series models," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 595-607. [Downloadable!] (restricted)
  17. Forbes, C.S. & Snyder, R.D. & Shami, R.S., 2000. "Bayesian Exponential Smoothing," Monash Econometrics and Business Statistics Working Papers 7/2000, Monash University, Department of Econometrics and Business Statistics. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Chin Nam Low & Heather Anderson & Ralph Snyder, 2006. "Beveridge-Nelson Decomposition with Markov Switching," Melbourne Institute Working Paper Series wp2006n14, Melbourne Institute of Applied Economic and Social Research, The University of Melbourne. [Downloadable!]
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