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Nonparametric Functional Estimation by Asymptotic Regression

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Publication:4707031
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DOI10.1081/STA-120021326zbMath1104.62313MaRDI QIDQ4707031

J. B. Collins

Publication date: 4 June 2003

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



Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)




Cites Work

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  • A statistical perspective on ill-posed inverse problems (with discussion)
  • On a class of nonparametric density and regression estimators
  • Approximation of method of regularization estimators
  • Optimal rates of convergence for nonparametric estimators
  • On the estimation of a probability density function by the maximum penalized likelihood method
  • Hilbertian kernels and spline functions
  • Interpolating spline methods for density estimation. I: Equi-spaced knots
  • Nonparametric maximum likelihood estimation of probability densities by penalty function methods
  • Asymptotic analysis of penalized likelihood and related estimators
  • Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
  • FUNCTIONAL ESTIMATION BY ASYMPTOTIC REGRESSION
  • Nonparametric Roughness Penalties for Probability Densities
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