Statistical inference for nth-order mixed fractional Brownian motion with polynomial drift

The mixed model with polynomial drift of the form $X(t)=\theta \mathcal{P}(t)+\alpha W(t)+\sigma {B_{H}^{n}}(t)$ is studied, where ${B_{H}^{n}}$ is the nth-order fractional Brownian motion with Hurst index $H\in (n-1,n)$ and $n\ge 2$, independent of the Wiener process W. The polynomial function $\ma...

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Bibliographic Details
Main Author: Mohamed El Omari
Format: Article
Language:English
Published: VTeX 2024-11-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://www.vmsta.org/doi/10.15559/24-VMSTA267
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