Divergence-type errors of smooth Barron-type density estimators.

DOI10.1007/BF02595736zbMath1039.62029OpenAlexW2009591089MaRDI QIDQ1872861

Igor Vajda, Gérard Biau, Jan Beirlant, Alain F. Berlinet

Publication date: 18 May 2003

Published in: Test (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02595736

zbMATH Keywords

rate of convergenceconsistency in expected information divergence

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Statistical aspects of information-theoretic topics (62B10)

Related Items (3)

Iterated modified histograms as dynamical systems ⋮ On Rates of Convergence for Bayesian Density Estimation ⋮ Bayesian adaptation

Cites Work

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• Frequency Polygons: Theory and Application
• Distribution estimation consistent in total variation and in two types of information divergence
• Distribution Estimates Consistent in χ²-Divergence
• About the asymptotic accuracy of Barron density estimates
• Optimization of Barron density estimates
• On piecewise linear density estimators
• Convex Analysis

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