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1.1 ! root 1: smoothing splines ! 2: running mean ! 3: target point ! 4: interior knots ! 5: smoothing parameter ! 6: running-lines smooth ! 7: equivalent kernels ! 8: equivalent kernel ! 9: basis functions ! 10: running-lines smoother ! 11: least-squares line ! 12: kernel smoothers ! 13: kernel smoother ! 14: cubic smoothing spline ! 15: target value ! 16: symmetric nearest neighbourhood ! 17: spaced data ! 18: scatterplot smoother ! 19: rigid form ! 20: nearest neighbours ! 21: nearest neighbourhood ! 22: natural splines ! 23: matrix ! 24: locally-weighted running-lines ! 25: kernel smooth ! 26: data points ! 27: weighted least-squares fit ! 28: weight function ! 29: unweighted running-lines smoother ! 30: time series ! 31: three interior knots ! 32: third derivative ! 33: symmetric nearest neighbours ! 34: symmetric nearest neighbourhoods ! 35: standard Gaussian density ! 36: single predictor ! 37: scatterplot smoothing ! 38: scatterplot smoothers ! 39: scatterplot smooth ! 40: predictor space ! 41: piecewise polynomials ! 42: piecewise cubics ! 43: piecewise cubic polynomials ! 44: parametric fitting ! 45: nearest neighbourhoods ! 46: natural cubic splines ! 47: natural cubic spline ! 48: multiple regression ! 49: multi-predictor smoothers ! 50: moving average ! 51: matrix containing ! 52: interested reader ! 53: fitted smooth ! 54: fine grid ! 55: evaluated-splines ! 56: cubic-spline basis functions ! 57: building block ! 58: boundary knots ! 59: bin smoother ! 60: bibliographic notes ! 61: Fig. shows ! 62: Euclidean distance ! 63: Smoothing ! 64: What is a smoother? ! 65: Scatterplot smoothing: definition ! 66: Parametric Regression ! 67: Bin smoothers ! 68: Running-mean and running-lines smoothers ! 69: Kernel smoothers ! 70: Computational issues ! 71: Running medians and enhancements ! 72: Equivalent kernels ! 73: Regression splines ! 74: Computational aspects ! 75: Cubic smoothing splines ! 76: Computational aspects ! 77: Locally weighted running-line smoothers ! 78: Smoothers for multiple predictors ! 79: {\sl smoother} ! 80: {\sl nonparametric} nature ! 81: {\sl smooth} ! 82: {\sl scatterplot smoothing} ! 83: {\sl categorical} ! 84: {\sl smoothing} ! 85: {\sl local averaging} ! 86: {\sl neighbourhoods} around ! 87: {\sl brand} ! 88: {\sl smoothing parameter} ! 89: {\sl fundamental tradeoff between bias and variance} ! 90: {\em robustified} ! 91: {\sl infinitely smooth} ! 92: {\sl close} ! 93: {\sl symmetric nearest neighbourhood} ! 94: {\sl running mean} ! 95: {\sl nearest neighbourhood} ! 96: {\sl moving average} ! 97: {\sl smoother} ! 98: {\sl running lines smoother} ! 99: {\sl weighted} least-squares ! 100: {\sl loess} ! 101: {\sl kernel} ! 102: {\sl metric} distance ! 103: {\sl metric} ! 104: {\sl rank} distance ! 105: {\em Hanning} ! 106: {\em twicing} ! 107: {\em regression smoothers} ! 108: {\em linear} ! 109: {\em degrees of freedom} ! 110: {\sl equivalent kernels} ! 111: {\sl linear} ! 112: {\em equivalent kernel} ! 113: {\em loess} smooth ! 114: {\sl equivalent degrees of freedom} ! 115: {\sl piecewise} ! 116: {\sl knots} ! 117: {\sl cubic} splines ! 118: {\sl number} ! 119: {\sl when the knots are given} ! 120: {\sl natural cubic spline} ! 121: {\sl effective} dimension ! 122: {\sl sorted} values ! 123: {\sl natural-spline} basis ! 124: {\sl local averaging} ! 125: {\sl kernel} ! 126: {\sl loess} ! 127: {\sl tri-cube} weight ! 128: {\sl span} ! 129: {\sl loess} ! 130: {\sl nearest neighbours} ! 131: {\sl Nearest} ! 132: {\sl thin-plate spline} ! 133: {\sl tensor product} ! 134: {\sl per~se} ! 135: {\sl Updating formula for running-line smooth} ! 136: {\sl Basis for natural splines} ! 137: {\sl Derivation of smoothing splines ! 138: {\sl Semi-parametric regression ! 139: {\sl estimating} equations ! 140: {\sl Efficient kernel smoothing
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