A law of the iterated logarithm for nonparametric regression function estimators

DOI10.1214/aos/1176346510zbMath0591.62030OpenAlexW1978363347MaRDI QIDQ1074976

Wolfgang Karl Härdle

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/1176346510

zbMATH Keywords

density estimationstrong consistencykernel regression estimatorsNadaraya-Watson kernel type estimatorLegendre orthogonal polynomial estimatorpointwise law of the iterated logarithm

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Strong limit theorems (60F15)

Related Items (8)

A Robbins-Monro procedure for estimation in semiparametric regression models ⋮ A law of the iterated logarithm for kernel estimators of regression functions ⋮ On pointwise laws of iterated logarithm for estimators of certain conditional functionals ⋮ Editorial to the special issue on applicable semiparametrics of computational statistics ⋮ The pointwise rate of convergence of the kernel regression estimate ⋮ Asymptotic properties for l 1 norm kernel estimator of conditional median under dependence ⋮ A law of the iterated logarithm for \(L_ 1\)-norm kernel estimator of the conditional median ⋮ Functional coefficient panel modeling with communal smoothing covariates

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