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arXiv · 1509.03163

Estimating Drift Parameters in a Fractional Ornstein Uhlenbeck Process with Periodic Mean

Herold Dehling·Brice Franke·Jeannette H. C. Woerner
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Abstract

We construct a least squares estimator for the drift parameters of a fractional Ornstein Uhlenbeck process with periodic mean function and long range dependence. For this estimator we prove consistency and asymptotic normality. In contrast to the classical fractional Ornstein Uhlenbeck process without periodic mean function the rate of convergence is slower depending on the Hurst parameter $H$, namely $n^{1-H}$.

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Herold Dehling, Brice Franke, Jeannette H. C. Woerner. 2015-09-10. Estimating Drift Parameters in a Fractional Ornstein Uhlenbeck Process with Periodic Mean. https://arxiv.org/abs/1509.03163

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