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arXiv · 1704.02103

Generalized fractional Brownian motion

Mounir Zili
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Abstract

We introduce a new Gaussian process, a generalization of both fractional and subfractional Brownian motions, which could serve as a good model for a larger class of natural phenomena. We study its main stochastic properties and some increments characteristics. As an application, we deduce the properties of nonsemimartingality, H\"{o}lder continuity, nondifferentiablity, and existence of a local time.

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Mounir Zili. 2017-04-07. Generalized fractional Brownian motion. https://doi.org/10.15559/16-vmsta71

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