Applying the IR statistic to estimate the Hurst index of the fractional geometric Brownian motion

In 2010 J.M. Bardet and D. Surgailis [1] have introduced the increment ratio (IR) statistic which measures the roughness of random paths. It was shown that this statistic was applicable in the cases of diffusion processes driven by the standard Brownian motion, certain Gaussian processes and the Lév...

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Bibliographic Details
Main Author: Dimitrij Melichov
Format: Article
Language:English
Published: Vilnius University Press 2010-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/17853