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Parameter Estimation in Rough Bessel Model

delete2023-06-28
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OA
AI
Y
Yuliya Mishura
A
Anton Yurchenko-Tytarenko *
DOI:10.3390/fractalfract7070508delete
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Abstract

Abstract

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.
Keywords:
fractional Brownian motion
Bessel process
parameter estimation

Journal

Fractal and Fractional cover
Fractal and Fractional
IF:
3.3
Papers:
4.3K
Citations:
7.6K

Organization

M
Malardalen University
Scholars:
1.2K
Papers: 1.5K
Citations: 3
M
ministry of education & science of ukraine
Scholars:
1.5W
Papers: 9.7K
Citations: 9
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