Marginal Likelihood for Markov-switching and Change-point Garch Models
AbstractGARCH volatility models with fixed parameters are too restrictive for long time series due to breaks in the volatility process. Flexible alternatives are Markov-switching GARCH and change-point GARCH models. They require estimation by MCMC methods due to the path dependence problem. An unsolved issue is the computation of their marginal likelihood, which is essential for determining the number of regimes or change-points. We solve the problem by using particle MCMC, a technique proposed by Andrieu, Doucet, and Holenstein (2010). We examine the performance of this new method on simulated data, and we illustrate its use on several return series.
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Bibliographic InfoPaper provided by School of Economics and Management, University of Aarhus in its series CREATES Research Papers with number 2011-41.
Date of creation: 24 Nov 2011
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Web page: http://www.econ.au.dk/afn/
Bayesian inference; Simulation; GARCH; Markov-switching model; Changepoint model; Marginal likelihood; Particle MCMC;
Other versions of this item:
- BAUWENS, Luc & DUFAYS, Arnaud & ROMBOUTS, Jeroen V.K., 2011. "Marginal likelihood for Markov-switching and change-point GARCH models," CORE Discussion Papers 2011013, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Luc Bauwens & Arnaud Dufays & Jeroen Rombouts, 2011. "Marginal Likelihood for Markov-Switching and Change-Point Garch Models," CIRANO Working Papers 2011s-72, CIRANO.
- Luc Bauwens & Arnaud Dufays & Jeroen V.K. Rombouts, 2011. "Marginal Likelihood for Markov-Switching and Change-Point GARCH Models," Cahiers de recherche 1138, CIRPEE.
- C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
- C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models
- C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-12-19 (All new papers)
- NEP-ECM-2011-12-19 (Econometrics)
- NEP-ETS-2011-12-19 (Econometric Time Series)
- NEP-ORE-2011-12-19 (Operations Research)
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