Fast implementations of nonparametric curve estimators

Jianqing Fan James S Marron

Statistics Theory and Methods mathscidoc:1912.43274

Journal of computational and graphical statistics, 3, (1), 35-56, 1994.3
Recent proposals for implementation of kernel-based nonparametric curve estimators are seen to be faster than naive direct implementations by factors up into the hundreds. The main ideas behind the two different approaches are made clear. Careful speed comparisons in a variety of settings and using a variety of machines and software are done. Various issues on computational accuracy and stability are also discussed. Our speed tests show that the fast methods are as fast or somewhat faster than methods traditionally considered very fast, such as LOWESS and smoothing splines.
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  title={Fast implementations of nonparametric curve estimators},
  author={Jianqing Fan, and James S Marron},
  booktitle={Journal of computational and graphical statistics},
Jianqing Fan, and James S Marron. Fast implementations of nonparametric curve estimators. 1994. Vol. 3. In Journal of computational and graphical statistics. pp.35-56.
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