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A Bayesian Perspective on Mixed GARCH Models with Jumps

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Uncertainty Analysis in Econometrics with Applications

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 200))

Abstract

In this paper, generalized autoregressive conditionally heteroskedastic (GARCH) models with jumps are investigated, where jump arrivals are time inhomogeneous and state-dependent. These models permit the conditional jump intensity to be time-varying and clustering, and allow volatility effects in the jump component. A Bayesian approach is taken and an efficient adaptive sampling scheme is employed for inference. A Bayesian posterior model comparison procedure is used to compare the proposed model with the standard GARCH model. The proposed methods are illustrated using both simulated and international stock market return series. Our results indicate that the mixed GARCH-Jump models provide a better fit for the dynamics of the daily returns in the US and two Asian markets.

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Correspondence to Cathy W. S. Chen .

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Chen, C.W.S., Lin, E.M.H., Lin, YR. (2013). A Bayesian Perspective on Mixed GARCH Models with Jumps. In: Huynh, VN., Kreinovich, V., Sriboonchitta, S., Suriya, K. (eds) Uncertainty Analysis in Econometrics with Applications. Advances in Intelligent Systems and Computing, vol 200. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35443-4_10

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  • DOI: https://doi.org/10.1007/978-3-642-35443-4_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35442-7

  • Online ISBN: 978-3-642-35443-4

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