Sharp adaptive estimation of linear functionals.

DOI10.1214/aos/1015345955zbMath1043.62029OpenAlexW2025546037MaRDI QIDQ1848917

Alexandre B. Tsybakov, Jussi Klemelä

Publication date: 14 November 2002

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1015345955

zbMATH Keywords

kernel estimationbandwidth selectionminimax riskadaptive curve estimationexact constants in nonparametric smoothing

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)

Related Items

Sharp adaptive estimation of quadratic functionals, On adaptive estimation of linear functionals, Nonparametric estimation by convex programming, Exact adaptive pointwise estimation on Sobolev classes of densities, Exact adaptive pointwise drift estimation for multidimensional ergodic diffusions, Estimating linear functionals of a sparse family of Poisson means, Optimal adaptive estimation of a quadratic functional, Unnamed Item, Estimating linear and quadratic forms via indirect observations, Adaptive estimation of linear functionals by model selection, Optimal calibration for multiple testing against local inhomogeneity in higher dimension, Adaptive estimation of the mode of a multivariate density, Pointwise adaptive estimation of a multivariate function, Asymptotically exact minimax estimation in sup-norm for anisotropic Hölder classes, Universal pointwise selection rule in multivariate function estimation, Multidimensional linear functional estimation in sparse Gaussian models and robust estimation of the mean

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