The rate of convergence of the Hurst index estimate for a stochastic differential equation

We consider an estimator of the Hurst parameter of stochastic differential equation with respect to a fractional Brownian motion and establish the rate of convergence of this estimator to the true value of H when the diameter of partition of observation interval tends to zero.

Bibliographic Details
Main Authors: Kęstutis Kubilius, Viktor Skorniakov, Kostiantyn Ralchenko
Format: Article
Language:English
Published: Vilnius University Press 2017-03-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13405