On nonparametric regression with higher-order kernels

DOI10.1016/0378-3758(89)90085-2zbMath0677.62038OpenAlexW2094051679MaRDI QIDQ1123510

William R. Schucany

Publication date: 1989

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(89)90085-2

zbMATH Keywords

kernel estimatorsnonparametric regressiongeneralized jackknifefourth-order kernelslarge-sample efficienciesmean-square efficiencyoptimal bandwidth ratiopoint of continuitysecond-order kernel estimator

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)

Related Items (7)

Hierarchies of higher order kernels ⋮ Bias reduction by projection on parametric models in Hilbertian nonparametric regression ⋮ Fast multivariate empirical cumulative distribution function with connection to kernel density estimation ⋮ Generalized Jackknife Estimators of Weighted Average Derivatives ⋮ Minimax kernels for nonparametric curve estimation ⋮ Tuning selection for two-scale kernel density estimators ⋮ Generalized jackknifing and higher order kernels

Cites Work

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• Choice of kernel order in density estimation
• A local cross-validation algorithm
• Remarks on Some Nonparametric Estimates of a Density Function
• Improvement of Kernel Type Density Estimators
• On Estimation of a Probability Density Function and Mode

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