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Drift parameter estimation for nonlinear stochastic differential equations driven by fractional Brownian motion.
- Source :
-
Stochastics: An International Journal of Probability & Stochastic Processes . Dec2019, Vol. 91 Issue 8, p1067-1091. 25p. - Publication Year :
- 2019
-
Abstract
- We derive the strong consistency of the least squares estimator (LSE) for the drift coefficient of a fractional stochastic differential system. The drift coefficient is one-sided dissipative Lipschitz and the driving noise is additive and fractional with Hurst parameter H ∈ (1 4 , 1). We assume that continuous observation is possible. The main tools are ergodic theorem and Malliavin calculus. As a by-product, we derive a maximum inequality for Skorohod integrals, which plays an important role to obtain the strong consistency of the LSE. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17442508
- Volume :
- 91
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Stochastics: An International Journal of Probability & Stochastic Processes
- Publication Type :
- Academic Journal
- Accession number :
- 139313266
- Full Text :
- https://doi.org/10.1080/17442508.2018.1563606