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2005 Convergence in Fractional Models and Applications
Corinne Berzin, José León
Author Affiliations +
Electron. J. Probab. 10: 326-370 (2005). DOI: 10.1214/EJP.v10-172

Abstract

We consider a fractional Brownian motion with Hurst parameter strictly between 0 and 1. We are interested in the asymptotic behaviour of functionals of the increments of this and related processes and we propose several probabilistic and statistical applications.

Citation

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Corinne Berzin. José León. "Convergence in Fractional Models and Applications." Electron. J. Probab. 10 326 - 370, 2005. https://doi.org/10.1214/EJP.v10-172

Information

Accepted: 4 March 2005; Published: 2005
First available in Project Euclid: 1 June 2016

zbMATH: 1070.60022
MathSciNet: MR2120247
Digital Object Identifier: 10.1214/EJP.v10-172

Subjects:
Primary: 60F05
Secondary: 60G15 , 60G18 , 60H10 , 60J55 , 62H12 , 62H15

Keywords: fractional Brownian motion , level crossings , limit theorem , Local time , rate of convergence

Vol.10 • 2005
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