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A note on the \(L_ 1\) consistency of variable kernel estimates

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Publication:1076448
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DOI10.1214/aos/1176349655zbMath0593.62033OpenAlexW1995883243MaRDI QIDQ1076448

Luc P. Devroye

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1214/aos/1176349655

zbMATH Keywords

weak convergenceembeddingkernel estimatedensity estimateneighborBreiman-Meisel-Purcell estimateL sup 1 consistencylocally adapted smoothing parametersnearestvariable kernel estimates


Mathematics Subject Classification ID

Nonparametric estimation (62G05) Strong limit theorems (60F15) (L^p)-limit theorems (60F25)


Related Items

Almost sure classification of densities, Uniform consistency of automatic and location-adaptive delta-sequence estimators, On the risk of estimates for block decreasing densities, On the effect of density shape on the performance of its kernel estimate, Conditional density estimation in measurement error problems, New multivariate product density estimators, Local data-driven bandwidth choice for density estimation, On empirical likelihood statistical functions



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