Smoothing Techniques for Curve Estimation

Nonparametric curve estimation....Pages 1-4
A tree-structured approach to nonparametric multiple regression....Pages 5-22
Kernel estimation of regression functions....Pages 23-68
Total least squares....Pages 69-76
Some theoretical results on Tukey’s 3R smoother....Pages 77-90
Bias- and efficiency-robustness of general M-estimators for regression with random carriers....Pages 91-116
Approximate conditional-mean type smoothers and interpolators....Pages 117-143
Optimal convergence properties of kernel estimates of derivatives of a density function....Pages 144-154
Density quantile estimation approach to statistical data modelling....Pages 155-180
Global measures of deviation for kernel and nearest neighbor density estimates....Pages 181-190
Some comments on the asymptotic behavior of robust smoothers....Pages 191-195
Cross-validation techniques for smoothing spline functions in one or two dimensions....Pages 196-232
Convergence rates of \"thin plate\" smoothing splines wihen the data are noisy....Pages 233-245