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Complete cubic spline estimation of non-parametric regression functions

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Publication:1262048
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DOI10.1007/BF01377628zbMath0685.62041MaRDI QIDQ1262048

Václav Fabian

Publication date: 1990

Published in: Probability Theory and Related Fields (Search for Journal in Brave)


zbMATH Keywords

supremum normregression functionsspline estimateasymptotically optimal error ratebounded fourth derivativescomplete cubicnon- parametric regression


Mathematics Subject Classification ID

Nonparametric estimation (62G05)


Related Items (1)

Stochastic approximation of global minimum points



Cites Work

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  • Lower rate of convergence for locating a maximum of a function
  • Polynomial estimation of regression functions with the supremum norm error
  • Optimal error bounds for cubic spline interpolation
  • A practical guide to splines
  • Optimal global rates of convergence for nonparametric regression
  • On error bounds for spline interpolation
  • Kernel estimation of smooth densities unsing fabian's approach
  • A completely automatic french curve: fitting spline functions by cross validation
  • On Asymptotic Normality in Stochastic Approximation


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