Optimal rates of convergence for the piecewlse polynomial estimator with the index chosen by the fpe selection rule

DOI10.1080/03610928808829778zbMath0696.62183OpenAlexW2010921398MaRDI QIDQ3473172

Keh-Wei Chen

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/03610928808829778

zbMATH Keywords

model selectionleast squaresnonparametric regressionoptimal rate of convergence

Mathematics Subject Classification ID

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

Cites Work

• Spline smoothing and optimal rates of convergence in nonparametric regression models
• Optimal bandwidth selection in nonparametric regression function estimation
• An asymptotically optimal window selection rule for kernel density estimates
• Additive regression and other nonparametric models
• Asymptotically optimal selection of a piecewise polynomial estimator of a regression function
• Optimal rates of convergence for nonparametric estimators
• Consistent nonparametric regression from recursive partitioning schemes
• Optimal global rates of convergence for nonparametric regression
• Statistical predictor identification
• A data dependent approach to density estimation
• On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities

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