A note on GARCH model identification

  • Authors:
  • M. Ghahramani;A. Thavaneswaran

  • Affiliations:
  • Department of Mathematics & Statistics, University of Winnipeg, Winnipeg, Manitoba, Canada;Department of Statistics, University of Manitoba, Winnipeg, Manitoba, Canada

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2008

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Abstract

Financial returns are often modeled as autoregressive time series with innovations having conditional heteroscedastic variances, especially with GARCH processes. The conditional distribution in GARCH models is assumed to follow a parametric distribution. Typically, this error distribution is selected without justification. In this paper, we have applied the results of Thavaneswaran and Ghahramani [A. Thavaneswaran, M. Ghahramani, Applications of combining estimating functions, in: Proceedings of the International Sri Lankan Conference: Visions of Futuristic Methodologies, University of Peradeniya and Royal Melbourne Institute of Technology (RMIT), 2004, pp. 515-532] on identification of GARCH models to a number of financial data sets.