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Some comments on the asymptotic behavior of robust smoothers

Part of the Lecture Notes in Mathematics book series (LNM,volume 757)

Abstract

In curve estimation, running M-estimates are a natural generalization of Kernel-type smoothers (moving averages). We find the rate of convergence that can be expected from these estimates and the leading bias and variance terms. We also explain the effect of twicing for Kernel-type smoothers and give some rationale for its use in robust curve estimation.

Keywords

  • Asymptotic Behavior
  • Variance Term
  • Curve Estimation
  • Bias Term
  • Optimal Kernel

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References

  1. Tukey, J. W., EDA Exploratory Data Analysis. Addison-Wesley (1977).

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© 1979 Springer-Verlag

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Stuetzle, W., Mittal, Y. (1979). Some comments on the asymptotic behavior of robust smoothers. In: Gasser, T., Rosenblatt, M. (eds) Smoothing Techniques for Curve Estimation. Lecture Notes in Mathematics, vol 757. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098497

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  • DOI: https://doi.org/10.1007/BFb0098497

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09706-8

  • Online ISBN: 978-3-540-38475-5

  • eBook Packages: Springer Book Archive