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Keywords:

  • Long-range dependence;
  • fractional exponential models;
  • semi-parametric estimation;
  • Whittle likelihood

This article proposes broadband semi-parametric estimation of a long-memory parameter by fractional exponential (FEXP) models. We construct the truncated Whittle likelihood based on FEXP models in a semi-parametric setting to estimate the parameter and show that the proposed estimator is more efficient than the FEXP estimator by Moulines and Soulier (1999) in linear processes. A Monte Carlo simulation suggests that the proposed estimation is more preferable than the existing broadband semi-parametric estimation.