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

Statistics Theory 2024-01-11 v1 Probability Statistics Theory

Abstract

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.

Keywords

Cite

@article{arxiv.2401.05114,
  title  = {Parameter Estimation for multi-mixed Fractional Ornstein--Uhlenbeck Processes by Generalized Method of Moments},
  author = {Hamidreza Maleki Almani and Tommi Sottinen},
  journal= {arXiv preprint arXiv:2401.05114},
  year   = {2024}
}