International Journal of Engineering and Manufacturing(IJEM)

ISSN: 2305-3631 (Print), ISSN: 2306-5982 (Online)

Published By: MECS Press

IJEM Vol.2, No.2, Apr. 2012

On a GARCH Model with Normal Scale Mixture Innovations

Full Text (PDF, 180KB), PP.8-14

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Feng Feng

Index Terms

GARCH model, Normal scale mixture, EM algorithm, Tail behavior, Volatility Clustering


Recently, there has been a lot of interest in modeling real data with a heavy tailed distribution. A popular candidate is the so-called generalized autoregressive conditional heteroscedastic (GARCH) model. Unfortunately, the tails of normal GARCH models are not thick enough in some applications. In this paper, we propose a GARCH model with normal scale mixture innovations, the parameters estimation procedure using EM algorithm is also provided. It is shown that GARCH models with normal scale mixture innovations have tails thicker than those of normal GARCH models. Therefore, the GARCH models with normal scale mixture innovations are more capable of capturing the heavy-tailed features in real data. Shanghai Stock Market Index as a real example illustrates the results.

Cite This Paper

Feng Feng,"On a GARCH Model with Normal Scale Mixture Innovations", IJEM, vol.2, no.2, pp.8-14, 2012.


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