Definition: Spline smoothing is a particular nonparametric estimator of a function. Given a data set
{X
i, Y
i} it estimates values of Y for X's other than
those in the sample. The process is to construct a function that balances the
twin needs of (1) proximity to the actual sample points, (2) smoothness. So a
'roughness penalty' is defined. See Hardle's equation 3.4.1 near p. 56 for
the 'cubic spline' which seems to be the most common.
(Econterms)
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