Efficient estimators for geometric fractional brownian motion perturbed by fractional Ornstein-Uhlenbeck process
This paper discusses an enhanced model of geometric fractional Brownian motion where its volatility is assumed to be stochastic volatility model obey fractional Ornstein-Uhlenbeck process. The method of estimation for all parameters in this model are derived. After, simulation experiments are condu...
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my.uum.repo.279142020-11-25T00:59:26Z http://repo.uum.edu.my/27914/ Efficient estimators for geometric fractional brownian motion perturbed by fractional Ornstein-Uhlenbeck process Alhagyan, Mohammed Misiran, Masnita Omar, Zurni QA75 Electronic computers. Computer science This paper discusses an enhanced model of geometric fractional Brownian motion where its volatility is assumed to be stochastic volatility model obey fractional Ornstein-Uhlenbeck process. The method of estimation for all parameters in this model are derived. After, simulation experiments are conducted to examine the performance of the proposed estimators. The result shows that the proposed method provides efficient estimates for the parameters. Thus, the proposed model is promising and can apply in real financial environments. Pushpa Publishing House 2020 Article PeerReviewed Alhagyan, Mohammed and Misiran, Masnita and Omar, Zurni (2020) Efficient estimators for geometric fractional brownian motion perturbed by fractional Ornstein-Uhlenbeck process. Advances and Applications in Statistics, 62 (2). pp. 203-226. ISSN 09723617 http://doi.org/10.17654/AS062020203 doi:10.17654/AS062020203 |
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QA75 Electronic computers. Computer science Alhagyan, Mohammed Misiran, Masnita Omar, Zurni Efficient estimators for geometric fractional brownian motion perturbed by fractional Ornstein-Uhlenbeck process |
description |
This paper discusses an enhanced model of geometric fractional Brownian motion where its volatility is assumed to be stochastic volatility model obey fractional Ornstein-Uhlenbeck process. The method of estimation for all parameters in this model are derived. After, simulation experiments are conducted to examine the performance of the proposed estimators. The result shows that the proposed method provides efficient estimates for the parameters. Thus, the proposed model is promising and can apply in real financial environments. |
format |
Article |
author |
Alhagyan, Mohammed Misiran, Masnita Omar, Zurni |
author_facet |
Alhagyan, Mohammed Misiran, Masnita Omar, Zurni |
author_sort |
Alhagyan, Mohammed |
title |
Efficient estimators for geometric fractional brownian motion perturbed by fractional Ornstein-Uhlenbeck process |
title_short |
Efficient estimators for geometric fractional brownian motion perturbed by fractional Ornstein-Uhlenbeck process |
title_full |
Efficient estimators for geometric fractional brownian motion perturbed by fractional Ornstein-Uhlenbeck process |
title_fullStr |
Efficient estimators for geometric fractional brownian motion perturbed by fractional Ornstein-Uhlenbeck process |
title_full_unstemmed |
Efficient estimators for geometric fractional brownian motion perturbed by fractional Ornstein-Uhlenbeck process |
title_sort |
efficient estimators for geometric fractional brownian motion perturbed by fractional ornstein-uhlenbeck process |
publisher |
Pushpa Publishing House |
publishDate |
2020 |
url |
http://repo.uum.edu.my/27914/ http://doi.org/10.17654/AS062020203 |
_version_ |
1685581071580659712 |
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13.251813 |