Asymptotic normality of least squares estimators to stochastic
differential equations driven by fractional Brownian motions
Abstract
We will consider the following stochastic differential equation (SDE): \begin{equation} X_t=X_0+\int_0^tb(X_s,\theta_0)ds+\sigma B_t,~~~t\in(0,T], \end{equation} where is a fractional Brownian motion with Hurst index , is a parameter that contains a bounded and open convex subset , is a family of drift coefficients with , and is assumed to be the known diffusion coefficient.
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