Optimizing Kernel Methods: A Unifying Variational Principle

DOI10.2307/1403693zbMath0749.62024OpenAlexW2314904273MaRDI QIDQ3990530

Boris L. Granovsky, Hans-Georg Müller

Publication date: 28 June 1992

Published in: International Statistical Review / Revue Internationale de Statistique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1403693

zbMATH Keywords

explicit solutionsvariational principleJacobi polynomialsHermite polynomialscurve estimationLegendre polynomialsmodeinflection pointorder of smoothnessoptimal kernel functionsminimum variance kernelanalytic kernel functionexplicit Hermite representationlimiting kernel functionlocations of extrema of higher order derivativespolynomials with compact support

Mathematics Subject Classification ID

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

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