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What is Learnable in Valiant's Theory of the Learnable? 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Nonparametric estimation for fractional diffusion processes with random effects
M. El Omari, H. El Maroufy, C. Fuchs · 2019-01-17 · via math.ST updates on arXiv.org

We propose a nonparametric estimation for a class of fractional stochastic differential equations (FSDE) with random effects. We precisely consider general linear fractional stochastic differential equations with drift depending on random effects and non-random diffusion. We build ordinary kernel estimators and histogram estimators and study their Lp-risk (p =1 or 2), when H>1/2. Asymptotic results are evaluated as both T = T(N) and N tend to infinity.

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