Multi-Fractional Brownian Motion: Estimating the Hurst Exponent via Variational Smoothing with Applications in Finance

Beginning with the basics of the Wiener process, we consider limitations characterizing the “Brownian approach” in analyzing real phenomena. This leads us to first consider the fractional Brownian motion (fBm)—also discussing the Wood–Chan fast algorithm to generate sample paths—to then focus on mul...

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Bibliographic Details
Main Authors: Luca Di Persio, Gianni Turatta
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/14/8/1657