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Theory and Inference for a Markov-Switching GARCH Model Author info | Abstract | Publisher info | Download info | Related research | Statistics Luc Bauwens
Arie Preminger
Jeroen V.K. Rombouts
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We develop a Markov-switching GARCH model (MS-GARCH) wherein the conditional mean and variance switch in time from one GARCH process to another. The switching is governed by a hidden Markov chain. We provide sufficient conditions for geometric ergodicity and existence of moments of the process. Because of path dependence, maximum likelihood estimation is not feasible. By enlarging the parameter space to include the state variables, Bayesian estimation using a Gibbs sampling algorithm is feasible. We illustrate the model on SP500 daily returns.
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Paper provided by CIRPEE in its series Cahiers de recherche with number
0733.
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Date of creation: 2007Date of revision:
Handle: RePEc:lvl:lacicr:0733Contact details of provider: Postal: CP 8888, succursale Centre-Ville, Montr�al, QC H3C 3P8 Phone: (514) 987-8161 Web page: http://www.cirpee.org/ More information through EDIRC
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Keywords: GARCH ; Markov-switching ; Bayesian inference ; Other versions of this item:
Paper Luc, BAUWENS & Arie, PREMINGER & Jeroen, ROMBOUTS, 2007.
"Theory and inference for a Markov switching GARCH model ,"
Discussion Papers (ECON - Département des Sciences Economiques)
2007033, Université catholique de Louvain, Département des Sciences Economiques.
[Downloadable!] Luc Bauwens & Arie Preminger & Jeroen V.K. Rombouts, 2007.
"Theory and inference for a Markov switching Garch model ,"
Cahiers de recherche
07-09, HEC Montréal, Institut d'économie appliquée.
[Downloadable!] BAUWENS, Luc & PREMINGER, Arie & ROMBOUTS, Jeroen V.K., 2007.
"Theory and inference for a Markov switching GARCH model ,"
CORE Discussion Papers
2007055, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
[Downloadable!] 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 C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation and Testing
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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.: Francq, Christian & Zako an, Jean-Michel, 2002.
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Dhiman Das & B.Hark Yoo, 2004.
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Christian Francq & Michel Roussignol & Jean-Michel Zakoian, .
"Conditional heteroskedasticity driven by hidden Markov chains ,"
Sonderforschungsbereich 373
1998-86, Humboldt Universitaet Berlin.
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Szabolcs Blazsek & Anna Downarowicz, 2008.
"Regime switching models of hedge fund returns ,"
Faculty Working Papers
12/08, School of Economics and Business Administration, University of Navarra.
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