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1.1 ! root 1: basis functions, 214-216,218,224,227 ! 2: bibliographic notes, 204,210,224 ! 3: bin smoother, 205,213 ! 4: boundary knots, 215,227 ! 5: brand, 202 ! 6: building block, 200,208,225 ! 7: categorical, 200 ! 8: close, 206 ! 9: computational aspects, 215,218 ! 10: computational issues, 210 ! 11: cubic smoothing spline, 217,219-220,227 ! 12: cubic splines, 215 ! 13: data points, 205-206,221 ! 14: degrees of freedom, 210 ! 15: derivation of smoothing splines, 227 ! 16: effective dimension, 218 ! 17: efficient kernel smoothing, 228 ! 18: equivalent degrees of freedom, 213 ! 19: equivalent kernel, 211,213,217,220,228 ! 20: equivalent kernels, 211 ! 21: estimating equations, 228 ! 22: euclidean distance, 222-223 ! 23: fine grid, 210,228 ! 24: fitted smooth, 200,202,210 ! 25: fundamental tradeoff between bias and variance, 202 ! 26: hanning, 210 ! 27: infinitely smooth, 205 ! 28: interested reader, 210,224 ! 29: interior knots, 213,215-216,218,227 ! 30: kernel smooth, 210,228 ! 31: kernel smoother, 208,210,222-223,225 ! 32: kernel, 208,220 ! 33: knots, 213 ! 34: least-squares line, 206-207,218,227 ! 35: linear, 210-211 ! 36: local averaging, 202,220 ! 37: locally weighted running-line smoothers, 220 ! 38: locally-weighted running-lines, 208,225 ! 39: loess smooth, 213 ! 40: loess, 208,220-221 ! 41: matrix containing, 227 ! 42: matrix, 216,218-219,223,227-228 ! 43: metric distance, 210 ! 44: metric, 210 ! 45: moving average, 200,206 ! 46: multi-predictor smoothers, 224-225 ! 47: multiple regression, 214,222 ! 48: natural cubic spline, 218 ! 49: natural splines, 215,218,227 ! 50: natural-spline basis, 219 ! 51: nearest neighbourhood, 206,221 ! 52: nearest neighbours, 220,222 ! 53: nearest, 222 ! 54: neighbourhoods around, 202 ! 55: nonparametric nature, 200 ! 56: number, 215 ! 57: parametric fitting, 205 ! 58: parametric regression, 200,204,225 ! 59: per\penalty \@M \ se, 225 ! 60: piecewise cubic polynomials, 213-214 ! 61: piecewise cubics, 216 ! 62: piecewise polynomials, 213,215 ! 63: piecewise, 213 ! 64: predictor space, 223 ! 65: rank distance, 210 ! 66: regression smoothers, 210 ! 67: regression splines, 205,213,215-217,224 ! 68: rigid form, 200,204 ! 69: robustified, 204 ! 70: running mean, 200,206,210-211,213,222-223 ! 71: running medians and enhancements, 210 ! 72: running-lines smooth, 207-208,218 ! 73: running-lines smoother, 208,221,225 ! 74: running-mean and running-lines smoothers, 205 ! 75: scatterplot smooth, 200,202,204 ! 76: scatterplot smoother, 200,205,218,222,225 ! 77: scatterplot smoothing, definition,200,202,204-205 204 ! 78: semi-parametric regression, 228 ! 79: single predictor, 200,222 ! 80: smooth, 200 ! 81: smoother, 200 ! 82: smoothers for multiple predictors, 222 ! 83: smoothing parameter, 202,211,213,217,220-221,225 ! 84: smoothing splines, 220,226,228 ! 85: smoothing, 200,202,208,210,213,218,220-221,223-225,228 ! 86: sorted values, 219 ! 87: spaced data, 210 ! 88: span, 221 ! 89: standard gaussian density, 209 ! 90: symmetric nearest neighbourhood, 206,221 ! 91: symmetric nearest neighbours, 206,222 ! 92: target point, 206,208,211,220-223 ! 93: target value, 202,205,208 ! 94: tensor product, 224 ! 95: thin-plate spline, 223 ! 96: third derivative, 216,227 ! 97: three interior knots, 202,215,217 ! 98: time series, 210-211 ! 99: tri-cube weight, 220 ! 100: twicing, 210 ! 101: unweighted running-lines smoother, 208 ! 102: weight function, 210,220,223 ! 103: weighted least-squares fit, 221 ! 104: weighted least-squares, 208 ! 105: what is a smoother?, 200 ! 106: when the knots are given, 216
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