basis functions, 214-216,218,224,227 bibliographic notes, 204,210,224 bin smoother, 205,213 boundary knots, 215,227 brand, 202 building block, 200,208,225 categorical, 200 close, 206 computational aspects, 215,218 computational issues, 210 cubic smoothing spline, 217,219-220,227 cubic splines, 215 data points, 205-206,221 degrees of freedom, 210 derivation of smoothing splines, 227 effective dimension, 218 efficient kernel smoothing, 228 equivalent degrees of freedom, 213 equivalent kernel, 211,213,217,220,228 equivalent kernels, 211 estimating equations, 228 euclidean distance, 222-223 fine grid, 210,228 fitted smooth, 200,202,210 fundamental tradeoff between bias and variance, 202 hanning, 210 infinitely smooth, 205 interested reader, 210,224 interior knots, 213,215-216,218,227 kernel smooth, 210,228 kernel smoother, 208,210,222-223,225 kernel, 208,220 knots, 213 least-squares line, 206-207,218,227 linear, 210-211 local averaging, 202,220 locally weighted running-line smoothers, 220 locally-weighted running-lines, 208,225 loess smooth, 213 loess, 208,220-221 matrix containing, 227 matrix, 216,218-219,223,227-228 metric distance, 210 metric, 210 moving average, 200,206 multi-predictor smoothers, 224-225 multiple regression, 214,222 natural cubic spline, 218 natural splines, 215,218,227 natural-spline basis, 219 nearest neighbourhood, 206,221 nearest neighbours, 220,222 nearest, 222 neighbourhoods around, 202 nonparametric nature, 200 number, 215 parametric fitting, 205 parametric regression, 200,204,225 per\penalty \@M \ se, 225 piecewise cubic polynomials, 213-214 piecewise cubics, 216 piecewise polynomials, 213,215 piecewise, 213 predictor space, 223 rank distance, 210 regression smoothers, 210 regression splines, 205,213,215-217,224 rigid form, 200,204 robustified, 204 running mean, 200,206,210-211,213,222-223 running medians and enhancements, 210 running-lines smooth, 207-208,218 running-lines smoother, 208,221,225 running-mean and running-lines smoothers, 205 scatterplot smooth, 200,202,204 scatterplot smoother, 200,205,218,222,225 scatterplot smoothing, definition,200,202,204-205 204 semi-parametric regression, 228 single predictor, 200,222 smooth, 200 smoother, 200 smoothers for multiple predictors, 222 smoothing parameter, 202,211,213,217,220-221,225 smoothing splines, 220,226,228 smoothing, 200,202,208,210,213,218,220-221,223-225,228 sorted values, 219 spaced data, 210 span, 221 standard gaussian density, 209 symmetric nearest neighbourhood, 206,221 symmetric nearest neighbours, 206,222 target point, 206,208,211,220-223 target value, 202,205,208 tensor product, 224 thin-plate spline, 223 third derivative, 216,227 three interior knots, 202,215,217 time series, 210-211 tri-cube weight, 220 twicing, 210 unweighted running-lines smoother, 208 weight function, 210,220,223 weighted least-squares fit, 221 weighted least-squares, 208 what is a smoother?, 200 when the knots are given, 216