Title
Stochastic volatility in mean models with scale mixtures of normal distributions and correlated errors: A Bayesian approach
Date Issued
01 May 2011
Access level
metadata only access
Resource Type
journal article
Author(s)
Federal University of Rio de Janeiro
Abstract
A stochastic volatility in mean model with correlated errors using the symmetrical class of scale mixtures of normal distributions is introduced in this article. The scale mixture of normal distributions is an attractive class of symmetric distributions that includes the normal, Student-t, slash and contaminated normal distributions as special cases, providing a robust alternative to estimation in stochastic volatility in mean models in the absence of normality. Using a Bayesian paradigm, an efficient method based on Markov chain Monte Carlo (MCMC) is developed for parameter estimation. The methods developed are applied to analyze daily stock return data from the São Paulo Stock, Mercantile & Futures Exchange index (IBOVESPA). The Bayesian predictive information criteria (BPIC) and the logarithm of the marginal likelihood are used as model selection criteria. The results reveal that the stochastic volatility in mean model with correlated errors and slash distribution provides a significant improvement in model fit for the IBOVESPA data over the usual normal model. © 2010 Elsevier B.V.
Start page
1875
End page
1887
Volume
141
Issue
5
Language
English
OCDE Knowledge area
Física de partículas, Campos de la Física
Otras ingenierías y tecnologías
Subjects
Scopus EID
2-s2.0-78751701148
Source
Journal of Statistical Planning and Inference
ISSN of the container
03783758
Sponsor(s)
We would like to thank the Executive Editor and an anonymous referee for their useful comments, which improved the quality of this paper. The research of Carlos A. Abanto-Valle was supported by CNPq . Helio S. Migon was supported by CNPq and CAPES/FAPERJ-PRONEX . V.H. Lachos acknowledges financial support from FAPESP and CNPq .
Sources of information:
Directorio de Producción Científica
Scopus