Parameter Estimation for multi-mixed Fractional Ornstein--Uhlenbeck Processes by Generalized Method of Moments

We develop the generalized method of moments (GMM) estimation for the parameters of the finitely mixed multi-mixed fractional Ornstein–Uhlenbeck (mmfOU) processes, and analyze the consistency and asymptotic normality of this estimator. We also include some simulations and provide numerical observations considering different statistical errors.