Estimation of geometric fractional Brownian motion perturbed by stochastic volatility model

This article is aimed at to derive geometric fractional Brownian motion where its volatility follow long memory stochastic volatility model, in particular the fractional Ornstein-Uhlenbech process. The innovation algorithm is utilized to simplify such derivation. A simple case of is calculated to i...

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Bibliographic Details
Main Authors: Alhagyan, Mohammed, Misiran, Masnita, Omar, Zurni
Format: Article
Published: Pushpa Publishing House 2015
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Description
Summary:This article is aimed at to derive geometric fractional Brownian motion where its volatility follow long memory stochastic volatility model, in particular the fractional Ornstein-Uhlenbech process. The innovation algorithm is utilized to simplify such derivation. A simple case of is calculated to illustrate the calculation to accompany this derivation.