Parameter estimation for fractional mixed fractional Brownian motion based on discrete observations

The object of investigation is the mixed fractional Brownian motion of the form ${X_{t}}=\kappa {B_{t}^{{H_{1}}}}+\sigma {B_{t}^{{H_{2}}}}$, driven by two independent fractional Brownian motions ${B_{1}^{H}}$ and ${B_{2}^{H}}$ with Hurst parameters ${H_{1}}\lt {H_{2}}$. Strongly consistent estimator...

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Bibliographic Details
Published in:Modern Stochastics: Theory and Applications
Main Authors: Kostiantyn Ralchenko, Mykyta Yakovliev
Format: Article
Language:English
Published: VTeX 2023-12-01
Subjects:
Online Access:https://www.vmsta.org/doi/10.15559/23-VMSTA234