Central limit theorems for quadratic errors of nonparametric estimators

DOI10.1016/S0378-3758(97)00043-8zbMath0945.62055MaRDI QIDQ1378811

Tae Yoon Kim

Publication date: 11 October 2000

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

zbMATH Keywords

central limit theoremsquadratic errorsfunction estimators

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05)

Related Items (1)

Convergence rates for average square errors for kernel smoothing estimators

Cites Work

• Central limit theorem for integrated square error of multivariate nonparametric density estimators
• Integrated square error properties of kernel estimators of regression functions
• Extent to which least-squares cross-validation minimises integrated square error in nonparametric density estimation
• Optimal bandwidth selection in nonparametric regression function estimation
• Random approximations to some measures of accuracy in nonparametric curve estimation
• A comparison of cross-validation techniques in density estimation

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