Weighted Local Regression and Kernel Methods for Nonparametric Curve Fitting

@inproceedings{Mller1987WeightedLR,
  title={Weighted Local Regression and Kernel Methods for Nonparametric Curve Fitting},
  author={Hans-Georg M{\"u}ller},
  year={1987}
}
Abstract Weighted local regression, a popular technique for smoothing scatterplots, is shown to be asymptotically equivalent to certain kernel smoothers. Since both methods are local weighted averages of the data, it is proved that in the fixed design regression model, given a weighted local regression procedure with any weight function, there is a corresponding kernel method such that the quotients of weights distributed by both methods tend uniformly to 1 as the number of observations… CONTINUE READING

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