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Parameter Estimation in Rough Bessel Model

delete2023-06-28
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Yuliya Mishura
A
Anton Yurchenko-Tytarenko *
DOI:10.3390/fractalfract7070508delete
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摘要

摘要

En 中文
In this paper, we construct consistent statistical estimators of the Hurst index, volatility coefficient, and drift parameter for Bessel processes driven by fractional Brownian motion with H<1/2. As an auxiliary result, we also prove the continuity of the fractional Bessel process. The results are illustrated with simulations.
Keyword:
fractional Brownian motion
Bessel process
parameter estimation

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Malardalen University
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ministry of education & science of ukraine
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