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Estimation of the drift of Riemann-Liouville fractional Brownian motion

Farah Fatima-Ezzahra

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 13, 4719-4728

Abstract: We consider the problem of efficient estimation of the drift of Riemann-Liouville fractional Brownian motion XH:=(XtH)t∈[0,T] with Hurst parameter H less than 12. We also construct superefficient James-Stein type estimators which dominate under the usual quadratic risk, the natural maximum likelihood estimator.

Date: 2023
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DOI: 10.1080/03610926.2021.1999475

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