caa a22 4500 378929828 CHVBK 20180305123626.0 cr unu---uuuuu 161128e20040518xx s 000 0 eng 10.2202/1558-3708.1212 doi (NATIONALLICENCE)gruyter-10.2202/1558-3708.1212 GARCH-type Models with Generalized Secant Hyperbolic Innovations [Elektronische Daten] [Paola Palmitesta, Corrado Provasi] GARCH-type models have been analyzed assuming various nongaussian distributions of errors. In general, the asymmetric generalized Student-t random variable seems to be the distribution which better captures the nonnormality features of financial data. However, a drawback of this distribution is represented by the technical dificulties due to the evaluation of moments, especially in the case of fractional degrees of freedom. In this paper we propose to model high frequency time series returns using GARCH-type models with a generalized secant hyperbolic (GSH) distribution. The main advantage of the GSH distribution over the Student-t distribution is that all the moments are finite for each value of the shape parameter. The distribution is symmetric with respect to the mean, but we show that it is still possible to obtain the density in a closed form introducing a skewness parameter according to the method proposed by Fernandez and Steel. We use a Monte Carlo experiment to validate this distribution in the context of GARCH models with maximum likelihood estimates of parameters. Finally, we show an application to log returns of a stock index. ©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston Palmitesta Paola University of Siena, Italy, palmitesta@unisi.it aut Provasi Corrado University of Padua, provasi@stat.unipd.it aut Studies in Nonlinear Dynamics & Econometrics De Gruyter 8/2(2004-05-18) 8:2 2004 8 snde https://doi.org/10.2202/1558-3708.1212 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2202/1558-3708.1212 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Palmitesta Paola University of Siena, Italy, palmitesta@unisi.it aut NATIONALLICENCE 700 1- Provasi Corrado University of Padua, provasi@stat.unipd.it aut NATIONALLICENCE 773 0- Studies in Nonlinear Dynamics & Econometrics De Gruyter 8/2(2004-05-18) 8:2 2004 8 snde CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter