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Bayesian Estimation of the GARCH(1,1) Model with Student-t Innovations in R

Ardia, David (2009): Bayesian Estimation of the GARCH(1,1) Model with Student-t Innovations in R. Unpublished.

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Abstract

This paper presents the R package bayesGARCH which provides functions for the Bayesian estimation of the parsimonious but effective GARCH(1,1) model with Student-t innovations. The estimation procedure is fully automatic and thus avoids the time-consuming and difficult task of tuning a sampling algorithm. The usage of the package is shown in an empirical application to exchange rate log-returns.

Item Type:MPRA Paper
Language:English
Keywords:GARCH; Bayesian; MCMC; Student-t; R software
Subjects:C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C52 - Model Evaluation and Selection
C - Mathematical and Quantitative Methods > C2 - Econometric Methods: Single Equation Models; Single Variables > C22 - Time-Series Models; Dynamic Quantile Regressions
C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods: General > C15 - Statistical Simulation Methods; Monte Carlo Methods; Bootstrap Methods
C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods: General > C11 - Bayesian Analysis
ID Code:17414
Deposited By:David Ardia
Deposited On:21. Sep 2009 08:22
Last Modified:08. Jan 2011 21:11
References:

Ardia D (2007). `bayesGARCH': Bayesian Estimation of the GARCH(1,1) Model with Student-t Innovations in R. URL http://CRAN.R-project.org/package=AdMit

Ardia D (2008). Financial Risk Management with Bayesian Estimation of GARCH Models: Theory and Applications, volume 612 of Lecture Notes in Economics and Mathematical Systems. Springer-Verlag, Berlin, Germany. ISBN 978-3-540-78656-6. doi:10.1007/978-3-540-78657-3

Deschamps PJ (2006). A Flexible Prior Distribution for Markov Switching Autoregressions with Student-t Errors. Journal of Econometrics, 133(1), 153-190. doi:10.1016/j.jeconom.2005.03.012

Engle RF (1982). Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation. Econometrica, 50(4), 987-1008.

Plummer M, Best N, Cowles K, Vines K (2008). coda: Output Analysis and Diagnostics for MCMC in R. R package version 0.13-3, URL http://CRAN.R-project.org/package=coda

R Development Core Team (2008). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL http://www.R-project.org

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