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most citedFrom dense to sparse design: Optimal rates under the supremum norm for estimating the mean function in functional data analysis

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math.ST2023★ 2 cited

From dense to sparse design: Optimal rates under the supremum norm for estimating the mean function in functional data analysis

Max Berger, Philipp Hermann, Hajo Holzmann

We derive optimal rates of convergence in the supremum norm for estimating the Hölder-smooth mean function of a stochastic process which is repeatedly and discretely observed with…