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https://github.com/ardiad/bayesgarch

Bayesian Estimation of the GARCH(1,1) Model with Student-t Innovations
https://github.com/ardiad/bayesgarch

bayesian garch mcmc risk-models student

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

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# bayesGARCH

The package `bayesGARCH` ([Ardia and Hoogerheide, 2010)](https://doi.org/10.32614/RJ-2010-014) implements in R
the Bayesian estimation procedure described
in [Ardia (2008)](https://doi.org/10.1007/978-3-540-78657-3) for the GARCH(1,1) model with Student-t innovations.
The approach consists of a Metropolis-Hastings (MH) algorithm where the proposal distributions
are constructed from auxiliary ARMA processes on the squared observations. This methodology
avoids the time-consuming and difficult task, especially for non-experts, of choosing and tuning
a sampling algorithm.

## Please cite the package in publications!

By using `bayesGARCH` you agree to the following rules:

1) You must cite [Ardia and Hoogerheide (2010)](https://doi.org/10.32614/RJ-2010-014) in working papers and published papers that use `bayesGARCH`.
2) You must place the following URL in a footnote to help others find `bayesGARCH`: [https://CRAN.R-project.org/package=bayesGARCH](https://CRAN.R-project.org/package=bayesGARCH).
3) You assume all risk for the use of `bayesGARCH`.

Ardia, D., Hoogerheide, L.F. (2010).
Bayesian estimation of the GARCH(1,1) model with Student-t innovations.
_R Journal_, 2(2), 41-47.
[https://doi.org/10.32614/RJ-2010-014](https://doi.org/10.32614/RJ-2010-014)

Ardia, D. (2008).
_Financial Risk Management with Bayesian Estimation of GARCH Models: Theory and Applications_.
volume 612 series Lecture Notes in Economics and Mathematical Systems. Springer-Verlag, Berlin, Germany.
[https://doi.org/10.1007/978-3-540-78657-3](https://doi.org/10.1007/978-3-540-78657-3)