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Asymptotic performance bounds for the kernel estimate

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Publication:1119308
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DOI10.1214/aos/1176350953zbMath0671.62041OpenAlexW2044595014MaRDI QIDQ1119308

Luc P. Devroye

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1214/aos/1176350953

zbMATH Keywords

characteristic functionslower boundskernel density estimatesperformance boundssaturation classexpected L1-errorlarge tail


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Nonparametric estimation (62G05)


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The kernel estimate is relatively stable, Almost sure classification of densities, Universal smoothing factor selection in density estimation: theory and practice. (With discussion), Nonasymptotic universal smoothing factors, kernel complexity and Yatracos classes, Multiclass classification with potential function rules: margin distribution and generalization, Root \(n\) estimates of vectors of integrated density partial derivative functionals, A universal lower bound for the kernel estimate



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