Open Access
2009 Exact confidence intervals for the Hurst parameter of a fractional Brownian motion
Jean-Christophe Breton, Ivan Nourdin, Giovanni Peccati
Electron. J. Statist. 3: 416-425 (2009). DOI: 10.1214/09-EJS366

Abstract

In this short note, we show how to use concentration inequalities in order to build exact confidence intervals for the Hurst parameter associated with a one-dimensional fractional Brownian motion.

Citation

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Jean-Christophe Breton. Ivan Nourdin. Giovanni Peccati. "Exact confidence intervals for the Hurst parameter of a fractional Brownian motion." Electron. J. Statist. 3 416 - 425, 2009. https://doi.org/10.1214/09-EJS366

Information

Published: 2009
First available in Project Euclid: 5 May 2009

zbMATH: 1326.62065
MathSciNet: MR2501319
Digital Object Identifier: 10.1214/09-EJS366

Subjects:
Primary: 60G15
Secondary: 60F05 , 60H07

Keywords: Concentration inequalities , exact confidence intervals , fractional Brownian motion , Hurst parameter

Rights: Copyright © 2009 The Institute of Mathematical Statistics and the Bernoulli Society

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