Article ID Journal Published Year Pages File Type
1145040 Journal of the Korean Statistical Society 2009 8 Pages PDF
Abstract

In this paper, we introduce an approximate approach to the fractional integrated GARCH(1,1) model of continuous time perturbed by fractional noise. Based on the L2L2-approximation of this noise by semimartingales, we proved a convergence theorem concerning an approximate solution. A simulation example shows a significant reduction of error in a fractional stock price model as compared to the classical stock price model.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Authors
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