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Forecasting Markov-switching dynamic, conditionally heteroscedastic processes

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  • Davidson, James

Abstract

Recursive formulae are derived for the multi-step point forecasts and forecast standard errors of Markov switching models with ARMA([infinity],q) dynamics (including the fractionally integrated case) and conditional heteroscedasticity in ARCH([infinity]) form. Hamilton's dynamic models of switching mean and variance are also treated, in a slightly modified version of the analysis.

Suggested Citation

  • Davidson, James, 2004. "Forecasting Markov-switching dynamic, conditionally heteroscedastic processes," Statistics & Probability Letters, Elsevier, vol. 68(2), pages 137-147, June.
  • Handle: RePEc:eee:stapro:v:68:y:2004:i:2:p:137-147
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    References listed on IDEAS

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    1. Blix, Mårten, 1999. "Forecasting Swedish Inflation With a Markov Switching VAR," Working Paper Series 76, Sveriges Riksbank (Central Bank of Sweden).
    2. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
    3. Baillie, Richard T. & Bollerslev, Tim & Mikkelsen, Hans Ole, 1996. "Fractionally integrated generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 74(1), pages 3-30, September.
    4. 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.
    5. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
    6. Hamilton, James D. & Susmel, Raul, 1994. "Autoregressive conditional heteroskedasticity and changes in regime," Journal of Econometrics, Elsevier, vol. 64(1-2), pages 307-333.
    7. 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 357-384, March.
    8. Michael P. Clements & Hans-Martin Krolzig, 1998. "A comparison of the forecast performance of Markov-switching and threshold autoregressive models of US GNP," Econometrics Journal, Royal Economic Society, vol. 1(Conferenc), pages 47-75.
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    Cited by:

    1. Haldrup, Niels & Nielsen, Frank S. & Nielsen, Morten Ørregaard, 2010. "A vector autoregressive model for electricity prices subject to long memory and regime switching," Energy Economics, Elsevier, vol. 32(5), pages 1044-1058, September.
    2. Gerdesmeier, Dieter & Reimers, Hans-Eggert & Roffia, Barbara, 2015. "Consumer and asset prices: Some recent evidence," Wismar Discussion Papers 01/2015, Hochschule Wismar, Wismar Business School.
    3. Haldrup, Niels & Nielsen, Morten Orregaard, 2006. "A regime switching long memory model for electricity prices," Journal of Econometrics, Elsevier, vol. 135(1-2), pages 349-376.
    4. Bejger, Sylwester, 2012. "Cartel in the Indian cement industry: An attempt to identify it," Economics Discussion Papers 2012-18, Kiel Institute for the World Economy (IfW).
    5. Angelos Kanas, 2008. "Modeling regime transition in stock index futures markets and forecasting implications," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 27(8), pages 649-669.
    6. Sylwester Bejger, 2009. "Econometric Tools for Detection of Collusion Equilibrium in the Industry," Dynamic Econometric Models, Uniwersytet Mikolaja Kopernika, vol. 9, pages 27-38.

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