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Consistency for cross-validated nearest neighbor estimates in nonparametric regression

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Publication:793461
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DOI10.1214/aos/1176346403zbMath0538.62030OpenAlexW2020396804MaRDI QIDQ793461

Ker-Chau Li

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1214/aos/1176346403


zbMATH Keywords

consistencycross validationnearest neighbor estimate


Mathematics Subject Classification ID

Nonparametric estimation (62G05) General nonlinear regression (62J02)


Related Items (9)

Nonparametric function recovering from noisy observations ⋮ Bandwidth choice for differentiation ⋮ Asymptotic properties for median cross-validated nearest neighbor median estimate in nonparametric regression ⋮ An optimal \(k\)-nearest neighbor for density estimation ⋮ Virtual Statistics in Simulation via k Nearest Neighbors ⋮ Consistency of cross validation for comparing regression procedures ⋮ \(M\)-cross-validation in local median estimation ⋮ Design adaptive nearest neighbor regression estimation ⋮ Targeted cross-validation




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