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articleNo Access
On limit theorems of some extensions of fractional Brownian motion and their additive functionals
- M. Ait Ouahra,
- S. Moussaten, and
- A. Sghir
Stochastics and Dynamics26 Mar 2017
Preview Abstract
This paper is divided into two parts. The first deals with some limit theorems to certain extensions of fractional Brownian motion like: bifractional Brownian motion, subfractional Brownian motion and weighted fractional Brownian motion. In the second part we give the similar results of their continuous additive functionals; more precisely, local time and its fractional derivatives involving slowly varying function.

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