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What is Learnable in Valiant's Theory of the Learnable? 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Estimation of the drift of fractional Brownian motion
Es-Sebaiy Khalifa</name> <arxiv:affiliation>SAMOS</arxiv:a · 2009-05-10 · via math.ST updates on arXiv.org

We consider the problem of efficient estimation for the drift of fractional Brownian motion $B^H:=(B^H_t)_{t\in[0,T]}$ with hurst parameter $H$ less than 1/2. We also construct superefficient James-Stein type estimators which dominate, under the usual quadratic risk, the natural maximum likelihood estimator.

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