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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.

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  • 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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    2. 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.
    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. 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.
    5. Pablo Guerróon‐Quintana & Molin Zhong, 2023. "Macroeconomic forecasting in times of crises," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 38(3), pages 295-320, April.
    6. 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.
    7. Sylwester Bejger, 2009. "Econometric Tools for Detection of Collusion Equilibrium in the Industry," Dynamic Econometric Models, Uniwersytet Mikolaja Kopernika, vol. 9, pages 27-38.
    8. Sylwester Bejger, 2015. "Screening for competition failures: some remarks on horizontal anticompetitive behavior visual detection," Ekonomia i Prawo, Uniwersytet Mikolaja Kopernika, vol. 14(2), pages 169-188, June.
    9. Emmanuel Hache & Frédéric Lantz, 2011. "Oil price volatility: An Econometric Analysis of the WTI Market," Working Papers hal-02472326, HAL.

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