Density estimation using spline projection kernels

DOI10.1080/03610929308831214zbMath0785.62041OpenAlexW2027203520MaRDI QIDQ4275150

Su-Yun Huang, William J. Studden

Publication date: 13 January 1994

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610929308831214

zbMATH Keywords

asymptotic variancedensity estimationreproducing kernel Hilbert spacespline spaceshistospline\(L2\) projectionspointwise asymptotic biasquadratic spline projection kernel estimator

Mathematics Subject Classification ID

Density estimation (62G07) Spline approximation (41A15)

Related Items (2)

Wavelet based empirical Bayes estimation for the uniform distribution ⋮ Adaptive estimation of a distribution function and its density in sup-norm loss by wavelet and spline projections

Cites Work

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• Spline smoothing: The equivalent variable kernel method
• Asymptotic integrated mean square error using least squares and bias minimizing splines
• A comparison of a spline estimate to its equivalent kernel estimate
• Nonparametric regression analysis of longitudinal data
• Asymptotics and representation of cubic splines
• Asymptotic behavior of a spline estimate of a density function
• Boundary bias correction in nonparametric density estimation
• Boundary modification for kernel regression
• On Estimation of a Probability Density Function and Mode

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